Prof.A.G.Johnpillai
Prof.A.G.Johnpillai B.Sc. (Hons) (EUSL), M.Sc. (University of the Witwatersrand, South Africa), Ph.D. (University of the Witwatersrand, South Africa), Post Doctoral Fellow (NorthWest University, South Africa) Telephone : 0094 65 2240753 (Office), 0094 65 2223638 (Home) 
Biography
Full Name : Andrew Gratien Johnpillai
Official Address : Department of Mathematics
(Mailing Address) Eastern University, Chenkalady, 30350, Sri Lanka
Academic Position : Professor in Mathematics
Date of Birth : 9th November 1966
Marital Status : Married
Links to Publications
Publications

A. G. Johnpillai and A. H. Kara (2001) Variational Formulation of Approximate Symmetries and Conservation Laws,International Journal of Theoretical Physics, 40(8), 15011509.

A. G. Johnpillai and A. H. Kara (2001) Variational Formulation of Approximate Symmetries and Conservation Laws, in Proceedings of 44th Annual Conference of the South African Mathematical Society, University of DurbanWestville, 79 November 2001, Book of Abstracts, p 54.

A. G. Johnpillai and A H. Kara (2002) Nonclassical Potential Symmetry Generators of Differential Equations,Nonlinear Dynamics, 30(2), 167177.

A. G. Johnpillai (2004) Applications of Nonclassical Potential Symmetries, 3rd Annual Research Session (ARS), 2004, Eastern University, Sri Lanka, 8495.

A. G. Johnpillai and A. H. Kara (2005) Nonclassical Potential Symmetries and Exact Solutions of Partial Differential Equations, in Proceedings of The 10th International Conference In Modern Group Analysis, MOGRAN X, [Editors: N. H. Ibragimov, C. Sophocleous, and P. A. Damianou], (Larnaca, Cyprus, 2004), 114119.

A. G. Johnpillai, A. H. Kara, and F. M. Mohamed (2006) A Basis of Approximate Conservation Laws for PDEs with a Small Parameter, International Journal of NonLinear Mechanics, 41(67), 830837.

A. G. Johnpillai (2006) Lie Group Analysis of Nonlinear Ordinary Differential Equations, in Proceedings 1 of the 62nd Annual Scientific Sessions, Sri Lanka Association for the Advancement of Science (SLAAS), 9192.

A. G. Johnpillai (2006) Symmetry Analysis of a Variable Coefficient Nonlinear Diffusion Equation, in Proceedings 1 of the 62nd Annual Scientific Sessions, Sri Lanka Association for the Advancement of Science (SLAAS), pp 92.

A. G. Johnpillai and A. H. Kara (2007) On The Nonclassical Potential Symmetries and Exact Solutions of an Evolution Equation, in Proceedings of the 5th Annual Research Session (ARS) 2006 [Editor: A. G. Johnpillai], Eastern University, Sri Lanka, 6065.

T. Ealasukanthan and A. G. Johnpillai (2007) Integration of Nonlinear Ordinary Differential Equations Using Lie Point Symmetries, in Proceedings of the 5th Annual Research Session (ARS) 2006 [Editor: A. G. Johnpillai], Eastern University, Sri Lanka, 4250.

O. O. Vaneeva, A. G. Johnpillai, R. O. Popovych and C. Sophocleous (2007) Enhanced Group Analysis and Conservation Laws of Variable Coefficient ReactionDiffusion Equations with Power Nonlinearities, Journal of Mathematical Analysis and Applications, 330(2), 13631386.

O. O. Vaneeva, A. G. Johnpillai, R. O. Popovych and C. Sophocleous (2008) Group Analysis of a Nonlinear Fin Equations, Applied Mathematics Letters, 21(3), 248253.

A. G. Johnpillai, A. H. Kara and F. M. Mahomed (2009) Approximate NoetherType Symmetries and Conservation Laws via Partial Lagrangians for PDEs with a Small Parameter, Journal of Computational and Applied Mathematics, 223(1), 508518.

A. G. Johnpillai, A. H. Kara and F. M. Mahomed (2010) Conservation Laws of a Nonlinear (1+1) Wave Equation,Nonlinear Analysis: Real World Applications, 11(4), 22372242.

A. G. Johnpillai, A. H. Kara and F. M. Mahomed (2010) Conservation Laws of Some NonVariational Perturbed PDEs via a Partial Variational Approach, International Journal of Modern Physics B, 24(22), 42534267.

A. G. Johnpillai, C. M. Khalique and A. Biswas (2010) Exact Solutions of KdV Equation with TimeDependent Coefficients, Applied Mathematics and Computation, 216(10), 31143119.

A. G. Johnpillai and C. M. Khalique (2010) Group Analysis of KdV Equation with Time Dependent Coefficients,Applied Mathematics and Computation, 216(12), 37613771.

A. G. Johnpillai and C. M. Khalique (2011) Lie Group Classification and Invariant Solutions of mKdV Equation with TimeDependent Coefficients, Communications in Nonlinear Science and Numerical Simulation, 16(3), 12071215.

A. G. Johnpillai and C. M. Khalique (2011) Conservation Laws of KdV Equation with TimeDependent Coefficients,Communications in Nonlinear Science and Numerical Simulation, 16(8), 30813089.

A. G. Johnpillai and C. M. Khalique (2011) Variational Approaches to Conservation Laws for a Nonlinear Evolution Equation with TimeDependent Coefficients, Quaestiones Mathematicae, 34(2), 235245.

A. G. Johnpillai, C. M. Khalique and A. Biswas (2011) Exact Solutions of the mKdV Equation with TimeDependent Coefficients, Mathematical Communications, 16(2), 509518.

A. G. Johnpillai, A. H. Kara and A. Biswas (2011) Symmetry solutions and reductions of a class of generalized (2+1)dimensional ZakharovKuznetsov equation, International Journal of Nonlinear Sciences and Numerical Simulation, 12(18), 4550.

L. D. Moleleki, A. G. Johnpillai and C. M. Khalique (2012) Symmetry reductions and exact solutions of a variable coefficient (2+1)ZakharovKuznetsov equation, Mathematical and Computational Applications 17(2), 132139.

A. G. Johnpillai, C. M. Khalique and F. M. Mahomed (2012) Lie point symmetries, partial Noether operators and first integrals of the PainleveGambier equations, Nonlinear Analysis A: Theory, Methods & Applications, 75(1), 3036.

A. G. Johnpillai, Ahmet Yildirim and A. Biswas (2012) Chiral Solitons with Bohm Potential by Lie Group Analysis and Traveling Wave Hypothesis, Romanian Journal of Physics, 57(34), 545–554.

A. H. Bokhari, A. G. Johnpillai, F. M. Mahomed and F. D. Zaman (2012) Approximate conservation laws of nonlinear perturbed heat and wave equations, Nonlinear Analysis: Real World Applications, 13(6), 28232829.

A. Biswas, G. Ebadi, M. Fessak, A. G. Johnpillai, S. Johnson and E. V. Krishnan and A. Yildirim (2012) Solutions of the perturbed KleinGordon equations, Iranian Journal of Science and Technology Transaction A  Science, 36 (A4), 431452.

A. G. Johnpillai, C. M. Khalique and F. M. Mahomed (2012) Lie and Riccati Linearization of a Class of Lienard Type Equations, Journal of Applied Mathematics, Volume 2012, Article ID 171205, 8 pages.

A. G. Johnpillai, A. H. Kara and A. Biswas (2013) Symmetry reduction, exact groupinvariant solutions and conservation laws of the BenjaminBona Mahoney equation, Applied Mathematics Letters, 26(3), 376381.

A. G. Johnpillai, A. H. Kara and A. Biswas (2013) Exact Group Invariant Solutions and Conservation Laws of Complex Modified KdV Equation, Zeitschrift für Naturforschung A, 68(8/9), 510514.

A. H. Bokhari, A. G. Johnpillai, A. H. Kara, F. M. Mahomed and F. D. Zaman (2013) Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries, International Journal of Theoretical Physics, 52(10), 35343542.

A. G. Johnpillai and F. M. Mahomed (2013) On Linearization by Generalized Sundman Transformations of a Class of Liénard Type Equations and Its Generalization, Applied Mathematics and Information Sciences, 7(6), 23552359.

A. G. Johnpillai and C. M. Khalique (2013) Symmetry reductions, exact solutions and conservation laws of a modified HunterSaxton equation, Abstract and Applied Analysis, http://dx.doi.org/10.1155/2013/204746, 15.

A. G. Johnpillai and C. M. Khalique (2014) Symmetry solutions and conservation laws for SharmaTassoOlver equation, ScienceAsia, 40(6), 451458.

A. G. Johnpillai, F. M. Mahomed and S. Abbasbandy (2014) Fundamental solution via invariant approach for a brain tumor model and its extensions, Zeitschrift für Naturforschung A, 69a(12), 725732.

F. M. Mahomed, A. G. Johnpillai and A. Aslam (2015) Symmetry classification and joint invariants for the scalar linear (1+1) elliptic equation, Communications in Nonlinear Science and Numerical Simulation, 25(13), 8493.

A. G. Johnpillai, K. S. Mahomed, C. Harley and F. M. Mahomed (2016) Noether symmetry analysis of the dynamic EulerBernoulli beam equation, Zeitschrift für Naturforschung A, 71(5)a, 447456.

R. Naz and A. G. Johnpillai (2018) Exact solutions via invariant approach for BlackScholes model with timedependent parameters, Mathematical Methods in the Applied Sciences, 41(12), 44174427.

K. Sakkaravarthi, A. G. Johnpillai, A. Durga Devi, T. Kanna and M. Lakshmanan (2018) Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation, Applied Mathematics and Computation, 331, 457472.

A. G. Johnpillai, C. M. Khalique and F. M. Mahomed (2019) Travelling wave groupinvariant solutions and conservation laws for θequation, Malaysian Journal of Mathematical Sciences, 13(1), 1329.

S. Jamal and A. G. Johnpillai (2020) Constitutive thermal laws and the exact solutions of Timoshenko systems, Indian Journal of Physics, 94(2), 233242.

S. Jamal and A. G. Johnpillai (2020) FourthOrder Pattern Forming PDEs: Partial and Approximate Symmetries (Accepted in Mathematical Modelling and Analysis)
Research Interest
Main Field:
Lie Group Analysis of Ordinary and Partial Differential Equations.
Current Research Interests:
Lie Linearization, Symmetries and First Integrals of Nonlinear Ordinary Differential Equations, Symmetries and Conservation Laws, Potential Symmetries, Nonclassical symmetries and Nonclassical Potential Symmetries of Partial Differential Equations, Approximate Symmetries, Approximate Potential Symmetries and Approximate Conservation Laws of Perturbed Partial Differential Equations.
Teaching
Undergraduate Courses
First Year
First Semester (2017/2018), 2019
MT1022  Ordinary Differential Equations (30 Hours)
Second Semester (2017/2018), 2020
MT 1232  Mathematical Methods (30 Hours)
Second Year
Second Semester (2017/2018), 2020
MT 2252  Riemann Stieltjes Integral and Sequences and Series of Functions (30 Hours)
Fourth Year (Special Degree in Mathematics), 2020
MTS 18  Lie Group Analysis of ODES (45 Hours)
Awards
2017  President’s Award for Scientific Publication (2015) by NRC (National Research Council), for the paper: F. M. Mahomed, A. G. Johnpillai and A. Aslam, Communications in Nonlinear Science and Numerical Simulation (2015), 25(13), 8493. 
2015  President’s Award for Scientific Publication (2013) by NRC (National Research Council), for the papers: A.G. Johnpillai and F. M. Mahomed, Applied Mathematics & Information Sciences (2013), 7(6), 23552359; and A.H. Bokhari, and A.G. Johnpillai, A.H. Kara, F. M. Mahomed and F.D. Zaman, International Journal of Theoretical Physics (2013), 52(10), 35343542. 
2014  President’s Award for Scientific Publication (2012) by NRC (National Research Council), for the paper: A.G. Johnpillai, C.M. Khalique and F. M. Mahomed, Nonlinear Analysis A: Theory, Methods & Applications (2012), 75(1), 3036. 
2014  President’s Award for Scientific Publication (2011) by NRC (National Research Council), for the paper: A.G. Johnpillai and C.M. Khalique, Communications in Nonlinear Science and Numerical Simulation (2011), 16(8), 30813089. 
2014  President’s Award for Scientific Publication (2008 & 2009) by NRC (National Research Council), for the papers: A.G. Johnpillai, A.H. Kara and F. M. Mahomed, J. Comput. Appl. Math. (2009), 223(1), 508518; and O.O. Vaneeva, A.G. Johnpillai, R.O. Popovych and C.Sophocleous, Appl. Math. Lett. (2008), 21(3), 248253. 
2014  President’s Award for Scientific Publication (2007) by NRC (National Research Council), for the paper: O.O. Vaneeva, A.G. Johnpillai, R.O. Popovych and C. Sophocleous, J. Math. Anal. Appl. (2007) 330(2), 13631386. 
2014  NSF (National Science Foundation) International Travel Grant to present a scientific paper at the International Conference “Symmetries, Differential Equations and Applications II (SDEA II): Sesquicentennial of The Presentation of Maxwell’s Theory of Electromagnetism, Islamabad, Pakistan, 2730 January, 2014. 
2012 
NSF (National Science Foundation) International Travel Grant to present 
2009 – 2010 
Post doctoral Fellowship, International Institute for Symmetry Analysisand Mathematical Modelling (IISAMM), Department of Mathematical Sciences, NorthWest University, Mafikeng Campus, South Africa. 
2004 
NSF (National Science Foundation) International Travel Grant to present a scientific paper at the 10th International Conference In MOdern GRoup ANalysis, MOGRAN X, Larnaca, Cyprus, 2431 October, 2004. 
2000  2002 
Postgraduate Merit Award, Witwatersrand University, Johannesburg, South Africa. 
2001 
The Bradlow Postgraduate Award, Witwatersrand University, Johannesburg, South Africa. 
2000 
The ASA Educational Trust Postgraduate Award, Witwatersrand University, Johannesburg, South Africa. 
1988  1992 
“Mahapola Higher Education Scholarship” awarded by the Mahapola Higher Education Scholarship Trust Fund, Sri Lanka to study at Eastern University, Sri Lanka. 
Positions Held
2012  2015: Head of the Department of Mathematics, Eastern University, Sri Lanka.
2011  2012: Senior Student Counsellor, Eastern University, Sri Lanka.
2011: Chairperson for the Reviewers’ Selection Committee, Annual Research Session (ARS), 2011.
2010  2011: Coordinator Career Guidance, Faculty of Science, Eastern University, Sri Lanka.
2008  2009: Senior Treasurer, Students’ Union, Faculty of Science, Eastern University, Sri Lanka.
2008  2009: Member of Curriculum Evaluation Committee, Eastern University, Sri Lanka.
2007  2009: Senate nominee for Campus Board, Trincomalee Campus.
2006  Coordinator and Editor of the Book of Abstracts and Proceedings of the 5th Annual Research Session (ARS) 2006, Eastern University, Sri Lanka.
2006  2009: Head of the Department of Mathematics, Eastern University, Sri Lanka.
2005  2006: Faculty of Science Representative to the Quality Assurance Unit, Eastern University, Sri Lanka.
2005  2006: Member of the English Action Committee, Eastern University, Sri Lanka.
2005  2006: Act. Head/Department of Chemistry, Eastern University, Sri Lanka.
2004 2011: Member of The Editorial Board, JSc (Journal of Science), Eastern University, Sri Lanka.
2004  2006: Faculty of Science Representative to Senate, Eastern University, Sri Lanka.
2004  2007: Director, Staff Development Centre, Eastern University, Sri Lanka.
2004  2009: Member of the Library Committee, Eastern University, Sri Lanka.
2004  2005: Senior Treasurer, Catholic Association, Eastern University, Sri Lanka.
2003  2006: Coordinator, “Publication of Academic Materials through the H. E. President’s Fund and the University Grants Commission”.
2002  2004: Chief Counsellor, Catholic Association, Eastern University, Sri Lanka.
2002  2005: Student Counsellor, Faculty of Science, Eastern University, Sri Lanka.
1997  1998: Student Counsellor, Faculty of Science, Eastern University, Sri Lanka.
1997  1998: Member of Sports Advisory Board of the Eastern University, Sri Lanka.