All Stories

  1. Nonparaxial pulse propagation to the cubic–quintic nonlinear Helmholtz equation

    Article • International Journal of Modern Physics B, April 2023, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian

  2. Bilinear method and semi-inverse variational principle approach to the generalized (2+1)-dimensional shallow water wave equation

    Article • Results in Physics, February 2023, Elsevier

    Dr. Jalil Manafian

  3. Variety interaction between k-lump and

    Article • Results in Physics, December 2022, Elsevier

    Dr. Jalil Manafian

  4. Lump, lump-trigonometric, breather waves, periodic wave and multi-waves solutions for a Konopelchenko–Dubrovsky equation arising in fluid dynamics

    Article • International Journal of Modern Physics B, November 2022, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian

  5. Dynamical Behaviors of Lumpoff and Rogue Wave Solutions for Nonlocal Gardner Equation

    Article • Mathematical Problems in Engineering, October 2022, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  6. New soliton waves and modulation instability analysis for a metamaterials model via the integration schemes

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, October 2022, De Gruyter

    Dr. Jalil Manafian

  7. New Results of Some of the Conformable Models Arising in Dynamical Systems

    Article • Advances in Mathematical Physics, September 2022, Hindawi Publishing Corporation

    Dr. Md. Nur Alam, Dr. Jalil Manafian

  8. N-Lump Solutions to a (3+1)-Dimensional Variable-Coefficient Generalized Nonlinear Wave Equation in a Liquid with Gas Bubbles

    Article • Qualitative Theory of Dynamical Systems, September 2022, Springer Science + Business Media

    Dr. Jalil Manafian

  9. Theoretical analysis for miscellaneous soliton waves in metamaterials model by modification of analytical solutions

    Article • Optical and Quantum Electronics, August 2022, Springer Science + Business Media

    Dr. Jalil Manafian

  10. A Mathematical Study of the (3+1)-D Variable Coefficients Generalized Shallow Water Wave Equation with Its Application in the Interaction between the Lump and Soliton Solutions

    Article • Mathematics, August 2022, MDPI AG

    Dr. Jalil Manafian

  11. Numerical and analytical results of the 1D BBM equation and 2D coupled BBM-system by finite element method

    Article • International Journal of Modern Physics B, August 2022, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian

  12. A Theoretical Study of Reverse Roll Coating for a Non-Isothermal Third-Grade Fluid under Lubrication Approximation Theory

    Article • Mathematical Problems in Engineering, June 2022, Hindawi Publishing Corporation

    Dr. Jalil Manafian, Dr Muhammad Zahid

  13. The nonlinear vibration and dispersive wave systems with cross-kink and solitary wave solutions

    Article • International Journal of Geometric Methods in Modern Physics, May 2022, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian

  14. Combined Damped Sinusoidal Oscillation Solutions to the (3 + 1)-D Variable-Coefficient Generalized NLW Equation in Liquid with Gas Bubbles

    Article • Advances in Mathematical Physics, May 2022, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  15. Extracting the exact solitons of time-fractional three coupled nonlinear Maccari’s system with complex form via four different methods

    Article • Results in Physics, May 2022, Elsevier

    Dr. Jalil Manafian

  16. N-Lump to the (2+1)-Dimensional Variable-Coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada Equation

    Article • Complexity, April 2022, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  17. Novel Optical Soliton Waves in Metamaterials with Parabolic Law of Nonlinearity via the IEFM and ISEM

    Article • Journal of Function Spaces, April 2022, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  18. Abundant wave solutions for generalized Hietarinta equation with Hirota’s bilinear operator

    Article • Modern Physics Letters B, April 2022, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian

  19. Periodic, Cross-Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering

    Article • Advances in Mathematical Physics, March 2022, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  20. Analytical approach for polar magnetooptics in multilayer spin-polarized light emitting diodes based on InAs quantum dots

    Article • Optical and Quantum Electronics, February 2022, Springer Science + Business Media

    Dr. Jalil Manafian

  21. Abundant soliton wave solutions and the linear superposition principle for generalized (3+1)-D nonlinear wave equation in liquid with gas bubbles by bilinear analysis

    Article • Results in Physics, January 2022, Elsevier

    Dr. Jalil Manafian

  22. Abundant soliton wave solutions for the (3+1)-dimensional variable-coefficient nonlinear wave equation in liquid with gas bubbles by bilinear analysis

    Article • Modern Physics Letters B, December 2021, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian

  23. Lump and Interaction Solutions to the ( 3 + 1 )-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials

    Article • Journal of Function Spaces, December 2021, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  24. Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave

    Article • Journal of Geometry and Physics, December 2021, Elsevier

    Dr. Jalil Manafian, Mahyuddin K. M. Nasution

  25. Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, December 2021, De Gruyter

    Dr. Jalil Manafian

  26. The New Solitary Solutions to the Time-Fractional Coupled Jaulent–Miodek Equation

    Article • Discrete Dynamics in Nature and Society, November 2021, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  27. Analytical Treatment of the Generalized Hirota-Satsuma-Ito Equation Arising in Shallow Water Wave

    Article • Advances in Mathematical Physics, October 2021, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  28. Cross-kink wave, solitary, dark, and periodic wave solutions by bilinear and He’s variational direct methods for the KP–BBM equation

    Article • International Journal of Modern Physics B, October 2021, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian

  29. N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation

    Article • Journal of Geometry and Physics, October 2021, Elsevier

    Dr. Jalil Manafian

  30. Nonlinear spin dynamics of a couple of nonlinear Schrödinger's equations by the improved form of an analytical method

    Article • International Journal of Computer Mathematics, September 2021, Taylor & Francis

    Dr. Jalil Manafian, Mahyuddin K. M. Nasution

  31. Conservation laws and exact solutions of the $(3+1)$-dimensional Jimbo–Miwa equation

    Article • Advances in Difference Equations, September 2021, Springer Science + Business Media

    Dr. Jalil Manafian

  32. Multiple rogue wave solutions and the linear superposition principle for a (3 + 1)‐dimensional Kadomtsev–Petviashvili–Boussinesq‐like equation arising in energy distributions

    Article • Mathematical Methods in the Applied Sciences, August 2021, Wiley

    Dr. Jalil Manafian

  33. Modulational instability and multiple rogue wave solutions for the generalized CBS–BK equation

    Article • Modern Physics Letters B, July 2021, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian

  34. Dark wave, rogue wave and perturbation solutions of Ivancevic option pricing model

    Article • Nonlinear Dynamics, July 2021, Springer Science + Business Media

    Dr. Jalil Manafian

  35. Multiple rogue and soliton wave solutions to the generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation arising in fluid mechanics and plasma physics

    Article • Modern Physics Letters B, July 2021, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian, sadeq taha abdulazeez

  36. Abundant interaction between lump and k-kink, periodic and other analytical solutions for the (3+1)-D Burger system by bilinear analysis

    Article • International Journal of Modern Physics B, May 2021, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian

  37. On the Exact Solitary Wave Solutions to the New ( 2 + 1 ) and ( 3 + 1 )-Dimensional Extens...

    Article • Advances in Mathematical Physics, April 2021, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  38. Pure Traveling Wave Solutions for Three Nonlinear Fractional Models

    Article • Advances in Mathematical Physics, April 2021, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  39. Solitary wave solitons to one model in the shallow water waves

    Article • The European Physical Journal Plus, March 2021, Springer Science + Business Media

    Dr. Jalil Manafian

  40. Localized waves and interaction solutions to the fractional generalized CBS-BK equation arising in fluid mechanics

    Article • Advances in Difference Equations, February 2021, Springer Science + Business Media

    Dr. Jalil Manafian

  41. Quintic B-spline collocation method for the numerical solution of the Bona–Smith family of Boussinesq equation type

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, February 2021, De Gruyter

    Dr. Jalil Manafian

  42. Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method

    Article • Results in Physics, February 2021, Elsevier

    Dr. Jalil Manafian, sadeq taha abdulazeez

  43. Multiple rogue wave, dark, bright, and solitary wave solutions to the KP-BBM equation

    Article • Journal of Geometry and Physics, February 2021, Elsevier

    Dr. Jalil Manafian

  44. New strategic method for fractional mitigating internet bottleneck with quadratic–cubic nonlinearity

    Article • Mathematical Sciences, January 2021, Springer Science + Business Media

    Dr. Jalil Manafian

  45. Multiple rogue wave, lump‐periodic, lump‐soliton, and interaction between k ‐lump and k ‐stripe soliton solutions for the generalized KP equation

    Article • Mathematical Methods in the Applied Sciences, December 2020, Wiley

    Dr. Jalil Manafian

  46. An Efficient Alternating Direction Explicit Method for Solving a Nonlinear Partial Differential Equation

    Article • Mathematical Problems in Engineering, November 2020, Hindawi Publishing Corporation

    Dr. Jalil Manafian

  47. Periodic wave solutions and stability analysis for the (3+1)-D potential-YTSF equation arising in fluid mechanics

    Article • International Journal of Computer Mathematics, October 2020, Taylor & Francis

    Dr. Jalil Manafian

  48. The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, September 2020, De Gruyter

    Dr. Jalil Manafian, Prof.Dr. Onur Alp ilhan

  49. Multiple rogue wave solutions for a variable-coefficient Kadomtsev-Petviashvili equation

    Article • International Journal of Computer Mathematics, September 2020, Taylor & Francis

    Dr. Jalil Manafian

  50. Interaction among a lump, periodic waves, and kink solutions to the fractional generalized CBS‐BK equation

    Article • Mathematical Methods in the Applied Sciences, September 2020, Wiley

    Dr. Jalil Manafian

  51. N -lump and interaction solutions of localized waves to the (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation arise from a model for an incompressible fluid

    Article • Mathematical Methods in the Applied Sciences, July 2020, Wiley

    Dr. Jalil Manafian

  52. Multiple rogue wave and solitary solutions for the generalized BK equation via Hirota bilinear and SIVP schemes arising in fluid mechanics

    Article • Communications in Theoretical Physics, June 2020, Institute of Physics Publishing

    Dr. Jalil Manafian

  53. M lump and interaction between M lump and N stripe for the third-order evolution equation arising in the shallow water

    Article • Advances in Difference Equations, May 2020, Springer Science + Business Media

    Dr. Jalil Manafian

  54. M-lump, interaction between lumps and stripe solitons solutions to the (2+1)-dimensional KP-BBM equation

    Article • The European Physical Journal Plus, January 2020, Springer Science + Business Media

    Dr. Jalil Manafian

  55. Periodic wave solutions and stability analysis for theKP-BBM equation with abundant novel interactionsolutions

    Article • Physica Scripta, January 2020, Institute of Physics Publishing

    Dr. Jalil Manafian

  56. N-lump and interaction solutions of localized waves to the (2+1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation

    Article • Journal of Geometry and Physics, January 2020, Elsevier

    Dr. Jalil Manafian

  57. Breather wave, periodic, and cross‐kink solutions to the generalized Bogoyavlensky‐Konopelchenko equation

    Article • Mathematical Methods in the Applied Sciences, December 2019, Wiley

    Dr. Jalil Manafian

  58. Lump-type solutions and interaction phenomenon to the (2+1)-dimensional Breaking Soliton equation

    Article • Applied Mathematics and Computation, September 2019, Elsevier

    Dr. Jalil Manafian

  59. Analytical behaviour of lump solution and interaction phenomenon to the Kadomtsev–Petviashvili-like equation

    Article • Pramana, April 2019, Springer Science + Business Media

    Dr. Jalil Manafian

  60. Lump wave solutions and the interaction phenomenon for a variable-coefficient Kadomtsev–Petviashvili equation

    Article • Computers & Mathematics with Applications, April 2019, Elsevier

    Dr. Jalil Manafian

  61. Lump-type solutions and interaction phenomenon to the bidirectional Sawada–Kotera equation

    Article • Pramana, February 2019, Springer Science + Business Media

    Dr. Jalil Manafian

  62. Analytical treatments of the space–time fractional coupled nonlinear Schrödinger equations

    Article • Optical and Quantum Electronics, October 2018, Springer Science + Business Media

    Dr. Jalil Manafian

  63. Novel solitary wave solutions for the (3+1)-dimensional extended Jimbo–Miwa equations

    Article • Computers & Mathematics with Applications, September 2018, Elsevier

    Dr. Jalil Manafian

  64. Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM

    Article • Journal of the European Optical Society Rapid Publications, June 2018, Springer Science + Business Media

    Dr. Jalil Manafian

  65. Numerical solutions of nonlinear 3-dimensional Volterra integral-differential equations with 3D-block-pulse functions

    Article • Mathematical Methods in the Applied Sciences, May 2018, Wiley

    Dr. Jalil Manafian

  66. Numerical treatment of the Benjamin-Bona-Mahony equation using Alpert multiwavelets

    Article • The European Physical Journal Plus, May 2018, Springer Science + Business Media

    Dr. Jalil Manafian

  67. Sparse representation of delay differential equation of Pantograph type using multi-wavelets Galerkin method

    Article • Engineering Computations, April 2018, Emerald

    Dr. Jalil Manafian

  68. Lump solution and its interaction to (3+1)-D potential-YTSF equation

    Article • Nonlinear Dynamics, March 2018, Springer Science + Business Media

    Dr. Jalil Manafian

  69. New exact solutions for a discrete electrical lattice using the analytical methods

    Article • The European Physical Journal Plus, March 2018, Springer Science + Business Media

    Dr. Jalil Manafian

  70. Traveling wave solutions for density-dependent conformable fractional diffusion–reaction equation by the first integral method and the improved $$\textbf{tan}\left( {{\mathbf{\frac{1}{2}}}{\boldsymbol{\varphi }}\left({\boldsymbol{\upxi}} \right)} \righ...

    Article • Optical and Quantum Electronics, February 2018, Springer Science + Business Media

    Dr. Jalil Manafian

  71. Optical solitons in $$(n+1)$$(n+1)-dimensions under anti-cubic law of nonlinearity by analytical methods

    Article • Optical and Quantum Electronics, February 2018, Springer Science + Business Media

    Dr. Jalil Manafian

  72. Some new analytical solutions of the variant Boussinesq equations

    Article • Optical and Quantum Electronics, January 2018, Springer Science + Business Media

    Dr. Jalil Manafian

  73. On some new analytical solutions for new coupled Konno–Oono equation by the external trial equation method

    Article • Journal of Physics Communications, January 2018, Institute of Physics Publishing

    Dr. Jalil Manafian

  74. Analytical treatment of nonlinear conformable time-fractional Boussinesq equations by three integration methods

    Article • Optical and Quantum Electronics, November 2017, Springer Science + Business Media

    Dr. Jalil Manafian

  75. Applications of IBSOM and ETEM for solving a discrete electrical lattice

    Article • Optical and Quantum Electronics, November 2017, Springer Science + Business Media

    Dr. Jalil Manafian

  76. Applications of the ETEM for obtaining optical soliton solutions for the Lakshmanan-Porsezian-Daniel model

    Article • The European Physical Journal Plus, November 2017, Springer Science + Business Media

    Dr. Jalil Manafian

  77. Exact solutions for Fitzhugh–Nagumo model of nerve excitation via Kudryashov method

    Article • Opto-electronics, October 2017, Springer Science + Business Media

    Hamed Taghipour farshi, Dr. Jalil Manafian

  78. Applications of IBSOM and ETEM for solving the nonlinear chains of atoms with long-range interactions

    Article • The European Physical Journal Plus, October 2017, Springer Science + Business Media

    Dr. Jalil Manafian

  79. Abundant soliton solutions of the resonant nonlinear Schrödinger equation with time-dependent coefficients by ITEM and He’s semi-inverse method

    Article • Optical and Quantum Electronics, September 2017, Springer Science + Business Media

    Dr. Jalil Manafian

  80. Application of $$\tan (\phi (\xi )/2)$$ tan ( ϕ ...

    Article • Optical and Quantum Electronics, July 2017, Springer Science + Business Media

    Dr. Jalil Manafian

  81. Application of the generalized G′/G-expansion method for nonlinear PDEs to obtaining soliton wave solution

    Article • Optik, April 2017, Elsevier

    Dr. Jalil Manafian

  82. Applications of He's semi-inverse method, ITEM and GGM to the Davey-Stewartson equation

    Article • The European Physical Journal Plus, April 2017, Springer Science + Business Media

    Dr. Jalil Manafian

  83. Application of the ITEM for the modified dispersive water-wave system

    Article • Optical and Quantum Electronics, March 2017, Springer Science + Business Media

    Dr. Jalil Manafian

  84. Soliton solutions of the quantum Zakharov-Kuznetsov equation which arises in quantum magneto-plasmas

    Article • The European Physical Journal Plus, February 2017, Springer Science + Business Media

    Dr. Jalil Manafian

  85. The analytical study of solitons to the nonlinear Schrödinger equation with resonant nonlinearity

    Article • Optik, February 2017, Elsevier

    Dr. Jalil Manafian

  86. Wave solutions for variants of the KdV-Burger and the K (n ,n )-Burger equations by the generalized G′/G-expansion method

    Article • Mathematical Methods in the Applied Sciences, January 2017, Wiley

    Dr. Jalil Manafian

  87. Application of the ITEM for the system of equations for the ion sound and Langmuir waves

    Article • Optical and Quantum Electronics, December 2016, Springer Science + Business Media

    Dr. Jalil Manafian

  88. Exact solitary wave solutions to the generalized Fisher equation

    Article • Optik, December 2016, Elsevier

    Dr. Jalil Manafian

  89. Comparison between the generalized tanh–coth and the (G′/G)-expansion methods for solving NPDEs and NODEs

    Article • Pramana, November 2016, Springer Science + Business Media

    Dr. Jalil Manafian, Prof.Dr. Ahmet Bekir

  90. Optical soliton solutions for the Gerdjikov–Ivanov model via tan(ϕ/2)-expansion method

    Article • Optik, October 2016, Elsevier

    Dr. Jalil Manafian

  91. A new analytical approach to solve some of the fractional-order partial differential equations

    Article • Indian Journal of Physics, September 2016, Springer Science + Business Media

    Dr. Jalil Manafian

  92. Analytic study of sixth-order thin-film equation by tan(ϕ/2)-expansion method

    Article • Optical and Quantum Electronics, August 2016, Springer Science + Business Media

    Dr. Jalil Manafian

  93. Optical soliton wave solutions to the resonant Davey–Stewartson system

    Article • Optical and Quantum Electronics, August 2016, Springer Science + Business Media

    Dr. Jalil Manafian

  94. Abundant soliton solutions for the Kundu–Eckhaus equation via tan(ϕ(ξ))-expansion method

    Article • Optik, July 2016, Elsevier

    Dr. Jalil Manafian

  95. Optical soliton solutions for Schrödinger type nonlinear evolution equations by the tan(Φ(ξ)/2)-expansion method

    Article • Optik, May 2016, Elsevier

    Dr. Jalil Manafian

  96. Abundant soliton solutions for the coupled Schrödinger-Boussinesq system via an analytical method

    Article • The European Physical Journal Plus, April 2016, Springer Science + Business Media

    Dr. Jalil Manafian

  97. Improvement of the Exp-function method for solving the BBM equation with time-dependent coefficients

    Article • The European Physical Journal Plus, March 2016, Springer Science + Business Media

    Dr. Jalil Manafian

  98. Application of tan(ϕ/2)-expansion method for solving the Biswas–Milovic equation for Kerr law nonlinearity

    Article • Optik, February 2016, Elsevier

    Dr. Jalil Manafian

  99. Dispersive dark optical soliton with Tzitzéica type nonlinear evolution equations arising in nonlinear optics

    Article • Optical and Quantum Electronics, January 2016, Springer Science + Business Media

    Dr. Jalil Manafian

  100. On the complex structures of the Biswas-Milovic equation for power, parabolic and dual parabolic law nonlinearities

    Article • The European Physical Journal Plus, December 2015, Springer Science + Business Media

    Dr. Jalil Manafian

  101. Construction of exact solutions to the modified forms of DP and CH equations by analytical methods

    Article • Statistics Optimization & Information Computing, November 2015, International Academic Press

    Dr. Jalil Manafian

  102. Optical solitons with Biswas-Milovic equation for Kerr law nonlinearity

    Article • The European Physical Journal Plus, April 2015, Springer Science + Business Media

    Dr. Jalil Manafian

  103. Solitary wave and periodic wave solutions for Burgers, Fisher, Huxley and combined forms of these equations by the (G ′ /G)-expansion method

    Article • Pramana, February 2015, Springer Science + Business Media

    Dr. Jalil Manafian

  104. Solving Burger's equation by semi-analytical and implicit method

    Article • Statistics Optimization & Information Computing, August 2014, International Academic Press

    Dr. Jalil Manafian

  105. Exact travelling wave solutions of the symmetric regularized long wave (SRLW) using analytical methods

    Article • Statistics Optimization & Information Computing, February 2014, International Academic Press

    Dr. Jalil Manafian

  106. Application of semi‐analytical methods for solving the Rosenau‐Hyman equation arising in the pattern formation in liquid drops

    Article • International Journal of Numerical Methods for Heat &amp Fluid Flow, August 2012, Emerald

    Dr Abbas Saadatmandi, Dr. Jalil Manafian

  107. ANALYTICAL TREATMENT OF SOME PARTIAL DIFFERENTIAL EQUATIONS ARISING IN MATHEMATICAL PHYSICS BY USING THE Exp-FUNCTION METHOD

    Article • International Journal of Modern Physics B, September 2011, World Scientific Pub Co Pte Lt

    Dr. Jalil Manafian

  108. Solving nonlinear fractional partial differential equations using the homotopy analysis method

    Article • Numerical Methods for Partial Differential Equations, January 2009, Wiley

    Dr. Jalil Manafian