Edit Profile (opens in new tab) Johnpillai, Andrew Gratien Co-Author Distance Author ID: johnpillai.andrew-gratien Published as: Johnpillai, A. G.; Johnpillai, Andrew Gratien; Johnpillai, Andrew G. more...less Documents Indexed: 31 Publications since 2001 Co-Authors: 23 Co-Authors with 31 Joint Publications 708 Co-Co-Authors all top 5 Co-Authors 0 single-authored 12 Khalique, Chaudry Masood 9 Kara, Abdul Hamid 9 Mahomed, Fazal M. 5 Biswas, Anjan 2 Bokhari, Ashfaque H. 2 Jamal, Sameerah 2 Popovych, Roman O. 2 Sophocleous, Christodoulos 2 Vaneeva, Olena O. 2 Zaman, Fiazud Din 1 Devi, A. Durga 1 Ebadi, Ghodrat 1 Fessak, M. 1 Gwaxa, B. 1 Kanna, Thambithurai 1 Krishnan, Edamana Vasudevan 1 Lakshmanan, Muthusamy 1 Moleleki, Letlhogonolo Daddy 1 Motsepa, Tanki 1 Naz, Rehana 1 Plaatjie, Karabo 1 Sakkaravarthi, K. 1 Yıldırım, Ahmet all top 5 Serials 3 Applied Mathematics and Computation 3 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Theoretical Physics 2 Quaestiones Mathematicae 2 Applied Mathematics Letters 2 Nonlinear Analysis. Real World Applications 1 International Journal of Modern Physics B 1 International Journal of Non-Linear Mechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematical Communications 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Mathematical & Computational Applications 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Malaysian Journal of Mathematical Sciences 1 Arabian Journal of Mathematics 1 International Journal of Applied and Computational Mathematics all top 5 Fields 27 Partial differential equations (35-XX) 4 Topological groups, Lie groups (22-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 233 times in 188 Documents Cited by ▼ Year ▼ Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities. Zbl 1160.35365 Vaneeva, O. O.; Johnpillai, A. G.; Popovych, R. O.; Sophocleous, C. 46 2007 Group analysis of KdV equation with time dependent coefficients. Zbl 1197.35231 Johnpillai, A. G.; Khalique, C. M. 18 2010 Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin-Bona-Mahoney equation. Zbl 1257.35151 Johnpillai, A. G.; Kara, A. H.; Biswas, Anjan 18 2013 Symmetry solutions and reductions of a class of generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation. Zbl 1401.35270 Johnpillai, A. G.; Kara, A. H.; Biswas, Anjan 16 2011 Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter. Zbl 1158.35306 Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 14 2009 Lie group classification and invariant solutions of mKdV equation with time-dependent coefficients. Zbl 1221.35338 Johnpillai, A. G.; Khalique, C. M. 13 2011 Variational formulation of approximate symmetries and conservation laws. Zbl 1006.81035 Johnpillai, A. G.; Kara, A. H. 13 2001 Conservation laws of KdV equation with time dependent coefficients. Zbl 1219.35236 Johnpillai, A. G.; Khalique, C. M. 12 2011 Group analysis of nonlinear fin equations. Zbl 1160.35320 Vaneeva, O. O.; Johnpillai, A. G.; Popovych, R. O.; Sophocleous, C. 12 2008 A basis of approximate conservation laws for PDEs with a small parameter. Zbl 1160.35318 Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 10 2006 Exact solutions of the mKdV equation with time-dependent coefficients. Zbl 1246.65190 Johnpillai, Andrew Gratien; Khalique, Chaudry Masood; Biswas, Anjan 8 2011 Solutions of the perturbed Klein-Gordon equations. Zbl 1267.35129 Biswas, Anjan; Ebadi, Ghodrat; Fessak, M.; Johnpillai, Andrew Gratien; Johnson, Stephen; Krishnan, Edamana Vasudevan; Yildirim, Ahmet 7 2012 Exact solutions of KdV equation with time-dependent coefficients. Zbl 1195.35263 Johnpillai, A. G.; Khalique, C. M.; Biswas, Anjan 7 2010 Nonclassical potential symmetry generators of differential equations. Zbl 1013.35071 Johnpillai, A. G.; Kara, A. H. 5 2002 Conservation laws of a nonlinear \((1+1)\) wave equation. Zbl 1194.35272 Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 5 2010 Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation. Zbl 1427.35004 Sakkaravarthi, K.; Johnpillai, A. G.; Devi, A. Durga; Kanna, T.; Lakshmanan, M. 5 2018 Classification of static spherically symmetric spacetimes by Noether symmetries. Zbl 1274.83036 Bokhari, Ashfaque H.; Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M.; Zaman, F. D. 5 2013 Fourth-order pattern forming PDEs: partial and approximate symmetries. Zbl 1479.35037 Jamal, Sameerah; Johnpillai, Andrew G. 4 2020 Variational approaches to conservation laws for a nonlinear evolution equation with time dependent coefficients. Zbl 1274.35329 Johnpillai, A. G.; Khalique, C. M. 3 2011 Exact solutions via invariant approach for Black-Scholes model with time-dependent parameters. Zbl 1396.35024 Naz, Rehana; Johnpillai, Andrew Gratien 3 2018 Symmetry reductions and exact solutions of a variable coefficient \((2+1)\)-Zakharov-Kuznetsov equation. Zbl 1390.35311 Moleleki, L. D.; Johnpillai, Andrew Gratien; Khalique, C. Masood 3 2012 Symmetry reductions, exact solutions, and conservation laws of a modified Hunter-Saxton equation. Zbl 1293.35015 Johnpillai, Andrew Gratien; Khalique, Chaudry Masood 2 2013 Conservation laws of some non-variational perturbed PDE’s via a partial variational approach. Zbl 1221.35034 Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 1 2010 Lie point symmetries, partial Noether operators and first integrals of the Painlevé-Gambier equations. Zbl 1230.34037 Johnpillai, A. G.; Khalique, C. M.; Mahomed, F. M. 1 2012 Travelling wave group-invariant solutions and conservation laws for \(\theta\)-equation. Zbl 1428.35071 Johnpillai, A. G.; Khalique, C. M.; Mahomed, F. M. 1 2019 Symmetry classification and joint invariants for the scalar linear \((1+1)\) elliptic equation. Zbl 1440.35068 Mahomed, F. M.; Johnpillai, A. G.; Aslam, A. 1 2015 Fourth-order pattern forming PDEs: partial and approximate symmetries. Zbl 1479.35037 Jamal, Sameerah; Johnpillai, Andrew G. 4 2020 Travelling wave group-invariant solutions and conservation laws for \(\theta\)-equation. Zbl 1428.35071 Johnpillai, A. G.; Khalique, C. M.; Mahomed, F. M. 1 2019 Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation. Zbl 1427.35004 Sakkaravarthi, K.; Johnpillai, A. G.; Devi, A. Durga; Kanna, T.; Lakshmanan, M. 5 2018 Exact solutions via invariant approach for Black-Scholes model with time-dependent parameters. Zbl 1396.35024 Naz, Rehana; Johnpillai, Andrew Gratien 3 2018 Symmetry classification and joint invariants for the scalar linear \((1+1)\) elliptic equation. Zbl 1440.35068 Mahomed, F. M.; Johnpillai, A. G.; Aslam, A. 1 2015 Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin-Bona-Mahoney equation. Zbl 1257.35151 Johnpillai, A. G.; Kara, A. H.; Biswas, Anjan 18 2013 Classification of static spherically symmetric spacetimes by Noether symmetries. Zbl 1274.83036 Bokhari, Ashfaque H.; Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M.; Zaman, F. D. 5 2013 Symmetry reductions, exact solutions, and conservation laws of a modified Hunter-Saxton equation. Zbl 1293.35015 Johnpillai, Andrew Gratien; Khalique, Chaudry Masood 2 2013 Solutions of the perturbed Klein-Gordon equations. Zbl 1267.35129 Biswas, Anjan; Ebadi, Ghodrat; Fessak, M.; Johnpillai, Andrew Gratien; Johnson, Stephen; Krishnan, Edamana Vasudevan; Yildirim, Ahmet 7 2012 Symmetry reductions and exact solutions of a variable coefficient \((2+1)\)-Zakharov-Kuznetsov equation. Zbl 1390.35311 Moleleki, L. D.; Johnpillai, Andrew Gratien; Khalique, C. Masood 3 2012 Lie point symmetries, partial Noether operators and first integrals of the Painlevé-Gambier equations. Zbl 1230.34037 Johnpillai, A. G.; Khalique, C. M.; Mahomed, F. M. 1 2012 Symmetry solutions and reductions of a class of generalized \((2+1)\)-dimensional Zakharov-Kuznetsov equation. Zbl 1401.35270 Johnpillai, A. G.; Kara, A. H.; Biswas, Anjan 16 2011 Lie group classification and invariant solutions of mKdV equation with time-dependent coefficients. Zbl 1221.35338 Johnpillai, A. G.; Khalique, C. M. 13 2011 Conservation laws of KdV equation with time dependent coefficients. Zbl 1219.35236 Johnpillai, A. G.; Khalique, C. M. 12 2011 Exact solutions of the mKdV equation with time-dependent coefficients. Zbl 1246.65190 Johnpillai, Andrew Gratien; Khalique, Chaudry Masood; Biswas, Anjan 8 2011 Variational approaches to conservation laws for a nonlinear evolution equation with time dependent coefficients. Zbl 1274.35329 Johnpillai, A. G.; Khalique, C. M. 3 2011 Group analysis of KdV equation with time dependent coefficients. Zbl 1197.35231 Johnpillai, A. G.; Khalique, C. M. 18 2010 Exact solutions of KdV equation with time-dependent coefficients. Zbl 1195.35263 Johnpillai, A. G.; Khalique, C. M.; Biswas, Anjan 7 2010 Conservation laws of a nonlinear \((1+1)\) wave equation. Zbl 1194.35272 Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 5 2010 Conservation laws of some non-variational perturbed PDE’s via a partial variational approach. Zbl 1221.35034 Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 1 2010 Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter. Zbl 1158.35306 Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 14 2009 Group analysis of nonlinear fin equations. Zbl 1160.35320 Vaneeva, O. O.; Johnpillai, A. G.; Popovych, R. O.; Sophocleous, C. 12 2008 Enhanced group analysis and conservation laws of variable coefficient reaction-diffusion equations with power nonlinearities. Zbl 1160.35365 Vaneeva, O. O.; Johnpillai, A. G.; Popovych, R. O.; Sophocleous, C. 46 2007 A basis of approximate conservation laws for PDEs with a small parameter. Zbl 1160.35318 Johnpillai, A. G.; Kara, A. H.; Mahomed, F. M. 10 2006 Nonclassical potential symmetry generators of differential equations. Zbl 1013.35071 Johnpillai, A. G.; Kara, A. H. 5 2002 Variational formulation of approximate symmetries and conservation laws. Zbl 1006.81035 Johnpillai, A. G.; Kara, A. H. 13 2001 all cited Publications top 5 cited Publications all top 5 Cited by 258 Authors 16 Sophocleous, Christodoulos 11 Popovych, Roman O. 10 Bruzón, Maria Santos 8 Gandarias Núñez, Maria Luz 8 Moitsheki, Raseelo J. 7 Kara, Abdul Hamid 7 Vaneeva, Olena O. 7 Wang, Gangwei 7 Zaman, Fiazud Din 6 Bokhari, Ashfaque H. 6 Jamal, Sameerah 6 Khalique, Chaudry Masood 6 Polyanin, Andrei Dmitrievich 6 Tracinà, Rita 5 Dong, Huanhe 5 Johnpillai, Andrew Gratien 5 Mahomed, Fazal M. 5 Yang, Hongwei 4 Bihlo, Alexander 4 Biswas, Anjan 4 Ivanova, Nataliya M. 4 Kumar, Mukesh 4 Molati, Motlatsi 4 Naeem, Imran 4 Paliathanasis, Andronikos 4 San, Sait 4 Tsaousi, C. 3 Băleanu, Dumitru I. 3 Inc, Mustafa 3 Kumar, Vikas 3 Lashkarian, Elham 3 Tiwari, Atul Kumar 3 Xu, Tianzhou 3 Yaşar, Emrullah 3 Zhurov, Alexei I. 2 Ahmad, Khalil 2 Akbulut, Arzu 2 Al-Dweik, Ahmad Y. 2 Ali, Safdar 2 Aliyu, Aliyu Isa 2 Alqahtani, Aisha M. 2 Bibi, Khudija 2 Das, Amiya 2 Devi, Preeti 2 Dos Santos Cardoso-Bihlo, Elsa Maria 2 Freire, Igor Leite 2 Gupta, Rajesh Kumar 2 Huang, Dingjiang 2 Kumar, Sachin 2 Kumar, Sachin 2 Leach, Peter Gavin Lawrence 2 Liu, Xiqiang 2 Makinde, Oluwole Daniel 2 Mei, Fengxiang 2 Mhlongo, Mfanafikile Don 2 Mnguni, Nkosingiphile 2 Naz, Rehana 2 Opanasenko, Stanislav 2 Orhan, Özlem 2 Özer, Teoman 2 Qin, Maochang 2 Qu, Changzheng 2 Rizvi, Syed Tahir Raza 2 Rosa, María 2 Sampaio, Júlio Cesar Santos 2 Sorokin, Vsevolod G. 2 Stepanova, Irina Vladimirovna 2 Taşcan, Filiz 2 Tian, Shoufu 2 Wang, Xiubin 2 Wang, Zhen 2 Yin, Baoshu 2 Younis, Muhammad 2 Yusuf, Abdullahi A. 2 Zhang, Tiantian 2 Zhang, Yingyuan 2 Zhdanov, Renat Z. 2 Zhou, Shuigeng 1 Abd-el-Malek, Mina B. 1 Abdel Latif, Mohamed Soror 1 Ahangari, Fatemeh 1 Ai, Guo-Ping 1 Akgül, Ali 1 Ali, Saeed M. 1 Alngar, Mohamed E. M. 1 Anco, Stephen C. 1 Ansari, Khusboo 1 Bai, Yushan 1 Bashingwa, Jean Juste Harrisson 1 Beesham, Aroonkumar 1 Bekir, Ahmet 1 Boyko, Vyacheslav M. 1 Bradshaw-Hajek, Bronwyn H. 1 Broadbridge, Philip 1 Butt, Asma Rashid 1 Charalambous, Kyriakos 1 Chen, Cheng 1 Chen, Jing 1 Chen, Yong 1 Cherniha, Roman M. ...and 158 more Authors all top 5 Cited in 52 Serials 21 Nonlinear Dynamics 18 Communications in Nonlinear Science and Numerical Simulation 16 Applied Mathematics and Computation 10 Journal of Mathematical Analysis and Applications 8 Advances in Mathematical Physics 7 Journal of Mathematical Physics 6 Abstract and Applied Analysis 6 Nonlinear Analysis. Real World Applications 5 Applied Mathematics Letters 5 Journal of Nonlinear Mathematical Physics 5 Advances in Difference Equations 4 Computers & Mathematics with Applications 4 Mathematical Methods in the Applied Sciences 4 Physica A 4 Acta Applicandae Mathematicae 4 International Journal of Geometric Methods in Modern Physics 4 International Journal of Applied and Computational Mathematics 3 Physics Letters. A 3 Quaestiones Mathematicae 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Nonlinear Analysis. Modelling and Control 3 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Modern Physics B 2 General Relativity and Gravitation 2 Journal of Engineering Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 International Journal of Computer Mathematics 2 Fractals 2 Mathematical Problems in Engineering 2 Discrete Dynamics in Nature and Society 2 Lobachevskii Journal of Mathematics 2 Journal of Applied Mathematics 1 Computers and Fluids 1 Journal of Geometry and Physics 1 Journal of Computational and Applied Mathematics 1 Physica D 1 Mathematical and Computer Modelling 1 European Journal of Applied Mathematics 1 Computational and Applied Mathematics 1 Filomat 1 Journal of Mathematical Chemistry 1 Doklady Mathematics 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Boundary Value Problems 1 Waves in Random and Complex Media 1 Frontiers of Mathematics in China 1 Applicable Analysis and Discrete Mathematics 1 Symmetry 1 Malaysian Journal of Mathematical Sciences 1 Arabian Journal of Mathematics 1 Mathematics 1 Journal of Function Spaces all top 5 Cited in 28 Fields 156 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 28 Dynamical systems and ergodic theory (37-XX) 17 Ordinary differential equations (34-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Topological groups, Lie groups (22-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Numerical analysis (65-XX) 7 Mechanics of particles and systems (70-XX) 6 Relativity and gravitational theory (83-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Operator theory (47-XX) 4 Geophysics (86-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year