All Stories

  1. Constitutive thermal laws and the exact solutions of Timoshenko systems

    Article • Indian Journal of Physics, April 2019, Springer Science + Business Media

    Prof. Andrew Gratien Johnpillai

  2. Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation

    Article • Applied Mathematics and Computation, August 2018, Elsevier

    Prof. Andrew Gratien Johnpillai, Dr. Sakkaravarthi Karuppaiya

  3. Exact solutions via invariant approach for Black-Scholes model with time-dependent parameters

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

    Prof. Andrew Gratien Johnpillai

  4. Noether symmetries of dynamic Euler-Bernoulli beam equation

    Article • Zeitschrift für Naturforschung A, May 2016, De Gruyter

    Prof. Andrew Gratien Johnpillai

  5. Symmetry classification and joint invariants for the scalar linear (1+1) elliptic equation

    Article • Communications in Nonlinear Science and Numerical Simulation, August 2015, Elsevier

    Prof. Andrew Gratien Johnpillai

  6. Fundamental Solution via Invariant Approach for a Brain Tumor Model and its Extensions

    Article • Zeitschrift für Naturforschung A, December 2014, De Gruyter

    Prof. Andrew Gratien Johnpillai

  7. On the solutions and conservation laws for the Sharma-Tasso-Olver equation

    Article • ScienceAsia, January 2014, Science Society of Thailand - Mahidol University

    Prof. Andrew Gratien Johnpillai

  8. On Linearization by Generalized Sundman Transformations of a Class of Li�nard Type Equations and Its Generalization

    Article • Applied Mathematics & Information Sciences, November 2013, Natural Sciences Publishing

    Prof. Andrew Gratien Johnpillai

  9. Exact Group Invariant Solutions and Conservation Laws of the Complex Modified Korteweg–de Vries Equation

    Article • Zeitschrift für Naturforschung A, September 2013, De Gruyter

    Prof. Andrew Gratien Johnpillai

  10. Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries

    Article • International Journal of Theoretical Physics, June 2013, Springer Science + Business Media

    Prof. Andrew Gratien Johnpillai

  11. Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin–Bona–Mahoney equation

    Article • Applied Mathematics Letters, March 2013, Elsevier

    Prof. Andrew Gratien Johnpillai

  12. Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation

    Article • Abstract and Applied Analysis, January 2013, Hindawi Publishing Corporation

    Prof. Andrew Gratien Johnpillai

  13. Approximate conservation laws of nonlinear perturbed heat and wave equations

    Article • Nonlinear Analysis Real World Applications, December 2012, Elsevier

    Prof. Andrew Gratien Johnpillai

  14. Symmetry Reductions and Exact Solutions of a Variable Coefficient (2+1)-Zakharov-Kuznetsov Equation

    Article • Mathematical and Computational Applications, August 2012, MDPI AG

    Prof. Andrew Gratien Johnpillai

  15. Lie point symmetries, partial Noether operators and first integrals of the Painlevé–Gambier equations

    Article • Nonlinear Analysis, January 2012, Elsevier

    Prof. Andrew Gratien Johnpillai

  16. Lie and Riccati Linearization of a Class of Liénard Type Equations

    Article • Journal of Applied Mathematics, January 2012, Hindawi Publishing Corporation

    Prof. Andrew Gratien Johnpillai

  17. Conservation laws of KdV equation with time dependent coefficients

    Article • Communications in Nonlinear Science and Numerical Simulation, August 2011, Elsevier

    Prof. Andrew Gratien Johnpillai

  18. Variational approaches to conservation laws for a nonlinear evolution equation with time dependent coefficients

    Article • Quaestiones Mathematicae, June 2011, Taylor & Francis

    Prof. Andrew Gratien Johnpillai

  19. Lie group classification and invariant solutions of mKdV equation with time-dependent coefficients

    Article • Communications in Nonlinear Science and Numerical Simulation, March 2011, Elsevier

    Prof. Andrew Gratien Johnpillai

  20. Symmetry Solutions and Reductions of a Class of Generalized .2 C 1/-dimensional Zakharov–Kuznetsov Equation

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, January 2011, De Gruyter

    Prof. Andrew Gratien Johnpillai

  21. CONSERVATION LAWS OF SOME NON-VARIATIONAL PERTURBED PDE'S VIA A PARTIAL VARIATIONAL APPROACH

    Article • International Journal of Modern Physics B, September 2010, World Scientific Pub Co Pte Lt

    Prof. Andrew Gratien Johnpillai

  22. Conservation laws of a nonlinear wave equation

    Article • Nonlinear Analysis Real World Applications, August 2010, Elsevier

    Prof. Andrew Gratien Johnpillai

  23. Group analysis of KdV equation with time dependent coefficients

    Article • Applied Mathematics and Computation, August 2010, Elsevier

    Prof. Andrew Gratien Johnpillai

  24. Exact solutions of KdV equation with time-dependent coefficients

    Article • Applied Mathematics and Computation, July 2010, Elsevier

    Prof. Andrew Gratien Johnpillai

  25. Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter

    Article • Journal of Computational and Applied Mathematics, January 2009, Elsevier

    Prof. Andrew Gratien Johnpillai

  26. Group analysis of nonlinear fin equations

    Article • Applied Mathematics Letters, March 2008, Elsevier

    Prof. Andrew Gratien Johnpillai

  27. Enhanced group analysis and conservation laws of variable coefficient reaction–diffusion equations with power nonlinearities

    Article • Journal of Mathematical Analysis and Applications, June 2007, Elsevier

    Prof. Andrew Gratien Johnpillai

  28. A basis of approximate conservation laws for PDEs with a small parameter

    Article • International Journal of Non-Linear Mechanics, July 2006, Elsevier

    Prof. Andrew Gratien Johnpillai

  29. Variational Formulation of Approximate Symmetries and Conservation Laws

    Article • Nonlinear Dynamics, January 2002, Springer Science + Business Media

    Prof. Andrew Gratien Johnpillai

  30. Article • International Journal of Theoretical Physics, January 2001, Springer Science + Business Media

    Prof. Andrew Gratien Johnpillai