Enhanced group analysis and conservation laws of variable coefficient reaction–diffusion equations with power nonlinearities OO Vaneeva, AG Johnpillai, RO Popovych, C Sophocleous Journal of Mathematical Analysis and Applications 330 (2), 1363–1386, 2007 | 147 | 2007 |
CHIRAL SOLITONS WITH BOHM POTENTIAL BY LIE GROUP ANALYSIS AND TRAVELING WAVE HYPOTHESIS AG Johnpillai, A Yildirim, A Biswas Romanian Journal of Physics 57 (3-4), 545–554, 2012 | 73 | 2012 |
Symmetry reduction, exact group-invariant solutions and conservation laws of Benjamin-Bona-Mahoney equation AG Johnpillai, AH Kara, A Biswas Applied Mathematics Letters 26 (3), 376-381, 2013 | 53 | 2013 |
Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter AG Johnpillai, AH Kara, FM Mahomed Journal of Computational and Applied Mathematics 223 (1), 508–518, 2009 | 47 | 2009 |
Group analysis of nonlinear fin equations OO Vaneeva, AG Johnpillai, RO Popovych, C Sophocleous Applied Mathematics Letters 21 (3), 248–253, 2008 | 44 | 2008 |
Variational Formulation of Approximate Symmetries and Conservation Laws AG Johnpillai, AH Kara International Journal of Theoretical Physics 40 (8), 1501-1509, 2001 | 40 | 2001 |
Group analysis of KdV equation with time dependent coefficients AG Johnpillai, CM Khalique Applied Mathematics and Computation 216 (12), 3761–3771, 2010 | 38 | 2010 |
Exact solutions of the mKdV equation with time-dependent coefficients AG Johnpillai, CM Khalique, A Biswas MATHEMATICAL COMMUNICATIONS 16 (2), 509-518, 2011 | 36 | 2011 |
Conservation laws of KdV equation with time dependent coefficients AG Johnpillai, CM Khalique Communications in Nonlinear Science Numerical Simulation 16 (8), 3081–3089, 2011 | 36 | 2011 |
Lie group classification and invariant solutions of mKdV equation with time-dependent coefficients AG Johnpillai, CM Khalique Communications in Nonlinear Science Numerical Simulation 16 (3), 1207–1215, 2011 | 35 | 2011 |
Solutions of the perturbed Klein-Gordon equations A Biswas, G Ebadi, M Fessak, AG Johnpillai, S Johnson, EV Krishnan, ... Iranian Journal of Science and Technology Transaction A-Science 36 (A4), 431-452, 2012 | 30 | 2012 |
A basis of approximate conservation laws for PDEs with a small parameter AG Johnpillai, AH Kara, FM Mahomed International Journal of Non-Linear Mechanics 41 (6-7), 830 – 837, 2006 | 29 | 2006 |
Symmetry Solutions and Reductions of a Class of Generalized (2+1)-dimensional Zakharov-Kuznetsov Equation AG Johnpillai, AH Kara, A Biswas International Journal of Nonlinear Sciences and Numerical Simulation 12 (1-8 …, 2011 | 26 | 2011 |
Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation K Sakkaravarthi, AG Johnpillai, A Durga Devi, T Kanna, M Lakshmanan Applied Mathematics and Computation 331, 457–472, 2018 | 19 | 2018 |
Exact solutions of KdV equation with time-dependent coefficients AG Johnpillai, CM Khalique, A Biswas Applied Mathematics and Computation 216 (10), 3114–3119, 2010 | 18 | 2010 |
Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries AH Bokhari, AG Johnpillai, AH Kara, FM Mahomed, FD Zaman International Journal of Theoretical Physics 52 (10), 3534-3542, 2013 | 17 | 2013 |
Nonclassical Potential Symmetry Generators of Differential Equations AG Johnpillai, AH Kara Nonlinear Dynamics 30 (2), 167–177, 2002 | 15 | 2002 |
Conservation laws of a nonlinear (1+1) wave equation AG Johnpillai, AH Kara, FM Mahomed Nonlinear Analysis: Real World Applications 11 (4), 2237-2242, 2010 | 13 | 2010 |
Exact Group Invariant Solutions and Conservation Laws of Complex Modified KdV Equation AG Johnpillai, AH Kara, A Biswas Zeitschrift für Naturforschung A 68 (8/9), 510-514, 2013 | 11 | 2013 |
On the conservation laws, Lie symmetry analysis and power series solutions of a class of third-order polynomial evolution equations B Gwaxa, S Jamal, AG Johnpillai Arabian Journal of Mathematics 12 (3), 553-564, 2023 | 10 | 2023 |