All Stories

  1. Symmetries and Exact Solutions in the Ginzburg–Landau Mean-Field Theory of the 3D XY Model

    Article • Symmetry, June 2026, MDPI AG

    Vassil Vassilev

  2. Some New Analytical and Numerical Results for the Nuclear Spin Generator (Sherman) System

    Article • Mathematics, June 2026, MDPI AG

    Vassil Vassilev

  3. Gaussian Versus Mean-Field Models: Contradictory Predictions for the Casimir Force Under Dirichlet–Neumann Boundary Conditions

    Article • Entropy, April 2025, MDPI AG

    Vassil Vassilev

  4. Investigation of a Biochemical Model with Recycling in Case of Negative Cooperativity

    Article • Mathematics, January 2025, MDPI AG

    Vassil Vassilev

  5. Exact Quasi-Stationary Solutions to the Dissipative Nonlinear Schrödinger Equation

    Article • January 2025, Springer Science + Business Media

    Vassil Vassilev

  6. First and Second Integrals of Hopf–Langford-Type Systems

    Article • Axioms, December 2024, MDPI AG

    Vassil Vassilev

  7. First and Second Integrals of Hopf–Langford Type Systems

    Article • November 2024, MDPI AG

    Vassil Vassilev

  8. Dynamics and Stability of Double-Walled Carbon Nanotube Cantilevers Conveying Fluid in an Elastic Medium

    Article • Dynamics, March 2024, MDPI AG

    Vassil Vassilev

  9. (Invited) Kink solutions of the complex cubic– quintic Ginzburg-Landau equation in the presence of intrapulse Raman scattering

    Article • Optik, September 2023, Elsevier

    Vassil Vassilev

  10. Integrability in a Nonlinear Model of Swing Oscillatory Motion

    Article • Journal of Geometry and Symmetry in Physics, March 2023, Prof. Marin Drinov Academic Publishing House

    Vassil Vassilev

  11. Complex Dynamics of Rössler–Nikolov–Clodong O Hyperchaotic System: Analysis and Computations

    Article • Axioms, February 2023, MDPI AG

    Vassil Vassilev

  12. Numerical Solutions of the Boussinesq Equation with Nonlinear Restoring Force

    Article • January 2023, Springer Science + Business Media

    Vassil Vassilev

  13. The Geometry of the Kiepert Trefoil

    Article • Mathematics, September 2022, MDPI AG

    Professor Ivailo M. Mladenov, Vassil Vassilev

  14. Assessing the Non-Linear Dynamics of a Hopf–Langford Type System

    Article • Mathematics, September 2021, MDPI AG

    Vassil Vassilev

  15. Dynamics of Rössler Prototype-4 System: Analytical and Numerical Investigation

    Article • Mathematics, February 2021, MDPI AG

    Vassil Vassilev

  16. On the behavior of the Casimir force in an exactly solvable model of a liquid film with an ordering field: The case of Dirichlet boundary conditions

    Article • January 2021, American Institute of Physics

    Vassil Vassilev

  17. Completely integrable dynamical systems of Hopf–Langford type

    Article • Communications in Nonlinear Science and Numerical Simulation, January 2021, Elsevier

    Vassil Vassilev

  18. Analysis of Swing Oscillatory Motion

    Article • January 2021, Springer Science + Business Media

    Vassil Vassilev

  19. Symmetries and Conservation Laws of a System of Timoshenko Beam Type Equations

    Article • January 2021, Springer Science + Business Media

    Vassil Vassilev

  20. Behavior of the van der Waals force between a plate and a single-walled carbon nanotube under uniform hydrostatic pressure: a theoretical study

    Article • Journal of Physics Condensed Matter, July 2020, Institute of Physics Publishing

    Vassil Vassilev

  21. A sufficient condition for solvability and stability of a Cantilever Timoshenko beam type system embedded in an elastic medium

    Article • January 2020, American Institute of Physics

    Vassil Vassilev, Svilen Popov

  22. On the experimental setup for liposome electroformation

    Article • January 2020, American Institute of Physics

    Vassil Vassilev, Lilia Vladimirova - Mihaleva

  23. Boundary conditions influence on the behavior of the Casimir force: A case study via exact results on the Ginzburg-Landau type fluid system with a film geometry

    Article • January 2020, American Institute of Physics

    Vassil Vassilev

  24. Approximate Analytical Solutions Generalized Lane-Emden-Fowler Equations

    Article • Geometry Integrability and Quantization, January 2020, Prof. Marin Drinov Academic Publishing House

    Vassil Vassilev

  25. Symmetries and Conservation Laws of a System of Timoshenko Beam Type with Smooth Coefficients

    Article • Geometry Integrability and Quantization, January 2020, Prof. Marin Drinov Academic Publishing House

    Vassil Vassilev

  26. Exact solution for the order parameter profiles and the Casimir force in 4He superfluid films in an effective field theory

    Article • Physica A Statistical Mechanics and its Applications, May 2019, Elsevier

    Vassil Vassilev

  27. Solitary waves to Boussinesq equation with linear restoring force

    Article • January 2019, American Institute of Physics

    Vassil Vassilev

  28. Analytic representation of the order parameter profiles and compressibility of a Ginzburg-Landau type model with Dirichlet-Dirichlet boundary conditions on the walls confining the fluid

    Article • January 2019, American Institute of Physics

    Vassil Vassilev

  29. Analytic representation of the order parameter profiles and susceptibility of a Ginzburg-Landau type model with strongly adsorbing competing walls

    Article • January 2019, American Institute of Physics

    Vassil Vassilev

  30. Analytic solutions for the temperature-field behaviour of the Ginzburg-Landau Ising type mean-field model with Dirichlet boundary conditions

    Article • January 2019, American Institute of Physics

    Vassil Vassilev

  31. Symmetries and conservation laws of equations of motion of double-wall carbon nanotubes conveying fluid

    Article • January 2019, American Institute of Physics

    Vassil Vassilev

  32. Analytical results for the Casimir force in a Ginzburg–Landau type model of a film with strongly adsorbing competing walls

    Article • Physica A Statistical Mechanics and its Applications, November 2018, Elsevier

    Vassil Vassilev

  33. Physical Components of Tensors

    Article • October 2018, Taylor & Francis

    Vassil Vassilev

  34. Analysis of the susceptibility in a fluid system with Neumann – plus boundary conditions

    Article • MATEC Web of Conferences, January 2018, EDP Sciences

    Vassil Vassilev

  35. Order parameter profiles in a system with Neumann – Neumann boundary conditions

    Article • MATEC Web of Conferences, January 2018, EDP Sciences

    Vassil Vassilev

  36. Analytic solutions to a family of boundary-value problems for Ginsburg-Landau type equations

    Article • January 2017, American Institute of Physics

    Vassil Vassilev

  37. Exact results for the Casimir force in a model with Neumann-infinity boundary conditions

    Article • January 2017, American Institute of Physics

    Vassil Vassilev

  38. Van der Waals interactions between planar substrate and tubular lipid membranes undergoing pearling instability

    Article • January 2017, American Institute of Physics

    Vassil Vassilev

  39. Exact results for the behavior of the thermodynamic Casimir force in a model with a strong adsorption

    Article • Journal of Statistical Mechanics Theory and Experiment, September 2016, Institute of Physics Publishing

    Vassil Vassilev

  40. Axially Symmetric Willmore Surfaces Determined by Quadratures

    Article • Geometry Integrability and Quantization, January 2016, Prof. Marin Drinov Academic Publishing House

    Professor Ivailo M. Mladenov, Vassil Vassilev

  41. Exact results for the temperature-field behavior of the Ginzburg–Landau Ising type mean-field model

    Article • Journal of Statistical Mechanics Theory and Experiment, August 2015, Institute of Physics Publishing

    Vassil Vassilev

  42. Comment on “Shape transition of unstrained flattest single-walled carbon nanotubes under pressure” [J. Appl. Phys. 115, 044512 (2014)]

    Article • Journal of Applied Physics, May 2015, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  43. Lie Group Analysis of the Willmore and Membrane Shape Equations

    Article • January 2014, Springer Science + Business Media

    Professor Ivailo M. Mladenov, Vassil Vassilev

  44. Motion of Particles in the Equatorial Plane of a Magnetic Dipole Field

    Article • January 2014, Prof. Marin Drinov Academic Publishing House

    Professor Ivailo M. Mladenov, Vassil Vassilev

  45. Explicit parametrizations of Willmore surfaces

    Article • January 2014, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  46. Equilibrium Configurations of Lipid Bilayer Membranes and Carbon Nanostructures

    Article • Communications in Theoretical Physics, February 2013, Institute of Physics Publishing

    Professor Ivailo M. Mladenov, Vassil Vassilev

  47. Traveling wave solutions of the one-dimensional Boussinesq paradigm equation

    Article • January 2013, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  48. • Unduloid-Like Equilibrium Shapes of Single-Wall Carbon Nanotubes Under Pressure

    Article • January 2013, Prof. Marin Drinov Academic Publishing House

    Vassil Vassilev

  49. Deformation of injected vesicles adhering onto flat rigid substrates

    Article • Computers & Mathematics with Applications, August 2012, Elsevier

    Professor Ivailo M. Mladenov, Vassil Vassilev

  50. Beyond Delaunay Surfaces

    Article • January 2012, Prof. Marin Drinov Academic Publishing House

    Professor Ivailo M. Mladenov, Vassil Vassilev

  51. Analytic Description of the Viscous Fingering Interface in a Hele-Shaw Cell

    Article • January 2012, Prof. Marin Drinov Academic Publishing House

    Vassil Vassilev, Professor Ivailo M. Mladenov

  52. Analytic description and explicit parametrisation of the equilibrium shapes of elastic rings and tubes under uniform hydrostatic pressure

    Article • International Journal of Mechanical Sciences, May 2011, Elsevier

    Professor Ivailo M. Mladenov, Vassil Vassilev

  53. Cell Membranes Under Hydrostatic Pressure Subjected to Micro-Injection

    Article • January 2011, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  54. Analytic Description of the Equilibrium Shapes of Elastic Rings Under Uniform Hydrostatic Pressure

    Article • January 2011, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  55. Traveling Wave Solutions of the Gardner Equation and Motion of Plane Curves Governed by the mKdV Flow

    Article • January 2011, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  56. On Some Deformations of the Cassinian Oval

    Article • January 2011, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  57. On the Plane Curves whose Curvature Depends on the Distance from the Origin

    Article • January 2010, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  58. Some Explicit Solutions of the Shape Equation

    Article • January 2010, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  59. On the Whewell Parametrization of the Euler Elastica

    Article • January 2009, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  60. Cylindrical equilibrium shapes of fluid membranes

    Article • Journal of Physics A Mathematical and Theoretical, September 2008, Institute of Physics Publishing

    Professor Ivailo M. Mladenov, Vassil Vassilev

  61. On the dynamic stability of a cantilever under tangential follower force according to Timoshenko beam theory

    Article • Journal of Sound and Vibration, April 2008, Elsevier

    Vassil Vassilev

  62. On The intrinsic equation behind the Delaunay surfaces

    Article • January 2008, American Institute of Physics

    Professor Ivailo M. Mladenov, Vassil Vassilev

  63. Dynamic stability of viscoelastic pipes on elastic foundations of variable modulus

    Article • Journal of Sound and Vibration, October 2006, Elsevier

    Vassil Vassilev

  64. Application of Lie transformation group methods to classical linear theories of rods and plates

    Article • International Journal of Solids and Structures, March 2003, Elsevier

    Vassil Vassilev

  65. DYNAMIC STABILITY OF FLUID CONVEYING CANTILEVERED PIPES ON ELASTIC FOUNDATIONS

    Article • Journal of Sound and Vibration, October 2001, Elsevier

    Vassil Vassilev

  66. Conservation laws and group-invariant solutions of the von Kármán equations

    Article • International Journal of Non-Linear Mechanics, January 1996, Elsevier

    Vassil Vassilev