Dr.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 (North-West University, South Africa)
Senior Lecturer
Department of Mathematics
Faculty of Science
Eastern University, Sri Lanka

 

     

Full Name                  :  Andrew Gratien Johnpillai

Official Address          :  Department of Mathematics
(Mailing Address)          Eastern University, Chenkalady, 30350, Sri Lanka  

Academic Position      :  Senior Lecturer (Grade I)

Date of Birth              :  9th November 1966

Marital Status            :  Married

 

 

 
  1. A. G. Johnpillai and A. H. Kara (2001) Variational Formulation of Approximate Symmetries and Conservation Laws, International Journal of Theoretical Physics, 40(8), 1501-1509.

  2.  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 Durban-Westville, 7-9 November 2001, Book of Abstracts, p 54.

  3. A. G. Johnpillai and A H. Kara (2002) Nonclassical Potential Symmetry Generators of Differential Equations, Nonlinear Dynamics, 30(2), 167-177.

  4. A. G. Johnpillai (2004) Applications of Nonclassical Potential Symmetries, 3rd  Annual Research Session (ARS), 2004, Eastern University, Sri Lanka, 84-95.

  5. 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), 114-119.

  6. 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 Non-Linear Mechanics, 41(6-7), 830-837.

  7. 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), 91-92.

  8. 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.

  9. 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, 60-65.

  10. 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, 42-50.

  11. O. O. Vaneeva, A. G. Johnpillai, R. O. Popovych and C. Sophocleous (2007) Enhanced Group Analysis and Conservation Laws of Variable Coefficient Reaction-Diffusion Equations with Power Nonlinearities, Journal of Mathematical Analysis and Applications, 330(2), 1363-1386.

  12. 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),  248-253.

  13. A. G. Johnpillai, A. H. Kara and F. M. Mahomed (2009) Approximate Noether-Type Symmetries and Conservation Laws via Partial Lagrangians for PDEs with a Small Parameter, Journal of Computational and Applied Mathematics, 223(1), 508-518.

  14. 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), 2237-2242.

  15. A. G. Johnpillai, A. H. Kara and F. M. Mahomed (2010) Conservation Laws of Some Non-Variational Perturbed PDEs via a Partial Variational Approach, International Journal of Modern Physics B, 24(22), 4253-4267.

  16. A. G. Johnpillai, C. M. Khalique and A. Biswas (2010) Exact Solutions of KdV Equation with Time-Dependent Coefficients, Applied Mathematics and Computation, 216(10), 3114-3119.

  17. A. G. Johnpillai and C. M. Khalique (2010) Group Analysis of KdV Equation with Time Dependent Coefficients, Applied Mathematics and Computation, 216(12), 3761-3771.

  18. A. G. Johnpillai and C. M. Khalique (2011) Lie Group Classification and Invariant Solutions of mKdV Equation with Time-Dependent Coefficients, Communications in Nonlinear Science and Numerical Simulation, 16(3), 1207-1215.

  19. A. G. Johnpillai and C. M. Khalique (2011) Conservation Laws of KdV Equation with Time-Dependent Coefficients, Communications in Nonlinear Science and Numerical Simulation, 16(8), 3081-3089.

  20. A. G. Johnpillai and C. M. Khalique (2011) Variational Approaches to Conservation Laws for a Nonlinear Evolution Equation with Time-Dependent Coefficients,  Quaestiones Mathematicae, 34(2), 235-245.

  21. A. G. Johnpillai, C. M. Khalique and A. Biswas (2011) Exact Solutions of the mKdV Equation with Time-Dependent Coefficients, Mathematical Communications, 16(2), 509-518.

  22. L. D. Moleleki, A. G. Johnpillai and C. M. Khalique (2011) Symmetry reductions and exact solutions of a variable coefficient (2+1)-Zakharov-Kuznetsov equation, International Journal of the Physical Sciences, 6(35), 7921-7925.

  23. A. G. Johnpillai, A. H. Kara and A. Biswas (2011) Symmetry solutions and reductions of a class of generalized (2+1)-dimensional Zakharov-Kuznetsov equation,  International Journal of Nonlinear Sciences and Numerical Simulation, 12(1-8), 45-50.

  24. A. G. Johnpillai, C. M. Khalique and F. M. Mahomed (2012) Lie point symmetries, partial Noether operators and first integrals of the Painleve-Gambier equations, Nonlinear Analysis A: Theory, Methods & Applications, 75(1), 30-36.

  25. 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(3-4), 545–554.

  26. 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), 2823-2829.

  27. A. Biswas, G. Ebadi, M. Fessak, A. G. Johnpillai, S. Johnson and E. V. Krishnan and A. Yildirim (2012) Solutions of the perturbed Klein-Gordon equations, Iranian Journal of Science and Technology Transaction A - Science, 36 (A4), 431-452.

  28. 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.

  29. A. G. Johnpillai, A. H. Kara and A. Biswas (2013) Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin-Bona Mahoney equation, Applied Mathematics Letters, 26(3), 376-381.

  30. 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), 510-514.

  31. 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), 3534-3542.

  32. 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), 2355-2359.

  33. A. G. Johnpillai and C. M. Khalique (2013) Symmetry reductions, exact solutions and conservation laws of a modified Hunter-Saxton equation, Abstract and Applied Analysis, http://dx.doi.org/10.1155/2013/204746, 1-5.

  34. A. G. Johnpillai and C. M. Khalique (2014) Symmetry solutions and conservation laws for Sharma-Tasso-Olver equation, ScienceAsia, 40(6), 451-458.

  35. 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), 725-732.

  36. 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(1-3), 84-93.

  37. A. G. Johnpillai, K. S. Mahomed, C. Harley and F. M. Mahomed (2016) Noether symm etry analysis of the dynamic Euler-Bernoul li beam equation, Zeitschrift für Naturforschung A, 71(5)a, 447-456.

  38. A. G. Johnpillai, C. M. Khalique and F. M. Mahomed (2016) Travelling wave group-invariant solutions and conservation laws for θ-equation (Under Review).

 

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.

 

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), 2355-2359; 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), 3534-3542.
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), 30-36.
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), 3081-3089.
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), 508-518; and O.O. Vaneeva, A.G. Johnpillai, R.O. Popovych and C.Sophocleous, Appl. Math. Lett. (2008), 21(3), 248-253.
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), 1363-1386.
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, 27-30 January, 2014.  
2012
NSF (National Science Foundation) International Travel Grant to present 
a scientific paper at the International Conference “Symmetries, 
Differential  equations and Applications: Galois Bicentenary (SDEA 2012)” Johnannesburg, South Africa, 23-27 January, 2012. 
2009 – 2010
Post doctoral Fellowship, International Institute for Symmetry Analysisand Mathematical Modelling (IISAMM), Department of Mathematical  Sciences, North-West 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, 24-31 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.
   


 

 

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.

Undergraduate Courses

Second Semester  (2014/2015), 2016

First Year

AM 104 - Differential Equations and Fourier Series (45 Hours)

PM 107 - Theory of Series (30 Hours)

Fourth Year (28.09.2016 - )

MTS 04 - Partial Differential Equations (60 Hours)

Postgraduate Courses (25.06.2016 -)

MSED 2543 - Advanced Calculus (15 Hours)

MSED 2545 - Symmetry Methods for Differential Equations (15 Hours)

 

Telephone :  0094 65 2240753 (Office), 0094 65 2223638 (Home)

Fax           :  0094 65 2240758 (Office)

E-mail       : andrewgratienj@yahoo.com, agjohnpillai@esn.ac.lk