Prof.A.G.Johnpillai

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

• Google Scholar
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• Publons
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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. 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.
23. L. D. Moleleki, A. G. Johnpillai and C. M. Khalique (2012) Symmetry reductions and exact solutions of a variable coefficient (2+1)-Zakharov-Kuznetsov equation, Mathematical and Computational Applications 17(2), 132-139.
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 symmetry analysis of the dynamic Euler-Bernoulli beam equation, Zeitschrift für Naturforschung A, 71(5)a, 447-456.
38. R. Naz and A. G. Johnpillai (2018) Exact solutions via invariant approach for Black-Scholes model with time-dependent parameters, Mathematical Methods in the Applied Sciences, 41(12), 4417-4427.
39. 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, 457-472.
40. A. G. Johnpillai, C. M. Khalique and F. M. Mahomed (2019) Travelling wave group-invariant solutions and conservation laws for θ-equation, Malaysian Journal of Mathematical Sciences, 13(1), 13-29.
41. S. Jamal and A. G. Johnpillai (2020) Constitutive thermal laws and the exact solutions of Timoshenko systems, Indian Journal of Physics, 94(2), 233-242.
42. S. Jamal and A. G. Johnpillai (2020) Fourth-Order Pattern Forming PDEs: Partial and Approximate Symmetries, Mathematical Modelling and Analysis, 25(2), 198-207.
43. D. I. A. Saparamadu and A. G. Johnpillai (2021) LINEARIZING INVERTIBLE POINT TRANSFORMATIONS AND APPLICATION TO A NONLINEAR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATION, in Proceedings of International Conference on Mathematics and Mathematics Education (ICMME) Vol. 2, PGIS, University of Peradeniya, p 1.
44. A. G. Johnpillai and F. M. Mahomed (2022) Closed-form solutions via the invariant approach for one-factor commodity models, Quaestiones Mathematicae, 45(10): 1545–1558.
45. Karabo Plaatjie, Tanki Motsepa, A. G. Johnpillai, Chaudry Masood Khalique (2022) Symmetry solutions and conserved vectors of the two-dimensional Korteweg-de Vries equation, International Journal of Applied and Computational Mathematics, 8:227.
46. W. M. R. D. Weerakoon and A. G. Johnpillai (2023) Linearizing invertible point transformation for a nonlinear second-order ordinary differential equation arising in epidemiology, in Proceedings of ARS-FOS-2023, Eastern University, Sri Lanka, p 12.
47. B. Gwaxa, S. Jamal and A. G. Johnpillai (2023) On the conservation laws, Lie symmetry analysis and power series solutions of a class of third-order polynomial evolution equations, Arabian Journal of Mathematics, 12:553-564.
48. B. Gwaxa, S. Jamal and A. G. Johnpillai (2023) On the Optimal System and series Solutions of Fifth-Order Fujimoto-Watanabe Equations, Malaysian Journal of Mathematical Sciences, 17(4), 557-573.
49. W. M. R. D. Weerakoon and A. G. Johnpillai (2024) Symmetry reduction and exact solution of an epidemiological model, in Proceedings of Second International Conference on Multidisciplinary Research (ICMR), Eastern University, Sri Lanka, p 4.
50. R. Naz, A. G. Johnpillai and F. M. Mahomed (2024) The exact solutions of a diffusive SIR model via symmetry groups, Journal of Mathematics, Volume 2024, Article ID 4598831, 14 pages.
51. R. Naz, A. G. Johnpillai and F. M. Mahomed (2024) CLOSED-FORM SOLUTIONS FOR A REACTION-DIFFUSION SIR MODEL WITH DIFFERENT DIFFUSION COEFFICIENTS. (to appear in Discrete and Continuous Dynamical Systems Series S).
52. B. Gwaxa, S. Jamal and A. G. Johnpillai (2024) Conserved vectors and symmetry invariant solutions to polynomial wave models. (to appear in Journal of Applied Nonlinear Dynamics). 

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.

Undergraduate Courses

First Year

First Semester  (2021/2022), 2024

• MT1022 - Ordinary Differential Equations (30 Hours)

Second Year

Second Semester  (2020/2021), 2024

• MT 2252 - Riemann Stieltjes Integral and Sequences and Series of Functions (30 Hours)

Fourth Year (Hons in Mathematics), 2024

• MT 4044 - Partial Differential Equations (60 Hours)
• MT 4173 - Lie Group Analysis of ODES (45 Hours)

 Contributions to Department/Faculty/University

1. Senate member, EUSL.
2. Faculty Board of Science, EUSL.
3. Member of Board of Study of Sciences, Faculty of Graduate Studies, EUSL.
4. Senate nominee for the Management Committee, Staff Development Centre, Eastern University, Sri Lanka.
5. Member of the Research Council, EUSL.
6. Member of Curriculum Development Committee, Faculty of Science, EUSL.
7. Member of Research Development Committee, Faculty of Science, EUSL.
8. Member of Higher Degree Committee, Faculty of Science, EUSL.
9. Activity Coordinator 2, AHEAD Program: ELTA-ELSE, Faculty Development Project.
10. Team Leader Criterion 5 – Teaching and Learning, Programme Review, Faculty of Science.
11. Team Leader Criterion 4 – Teaching-Learning, SER Writing Institutional Review, EUSL.
12. Evaluation Panel member for promotion to the Post of Senior Lecturer Gr. I, Faculty of Science and Faculty of Arts & Culture.
13. Examination Disciplinary Committee, Faculty of Science & Faculty of Technology.
14. Mentor for undergraduate students, Faculty of Science.
15. Editor-in-Chief, ARS 2021, Faculty of Science.
16. Editor-in-Chief, ARS 2022, Faculty of Science.
17. Resource Person for Probationary Academic Staff Induction Programme – 2022.
18. Resource Person for “Guru Sisu Nena Paura” Teachers’ and Students’ Programme, Ministry of Education.
19. Editor, Journal of Science, Faculty of Science, Eastern University, Sri Lanka.
20. Editorial Panel member of International Conference on Multidisciplinary Research (ICMR – 2023), EUSL.
21. Editor, Sri Lanka Journal of Multi-Disciplinary Research (SLJMR), EUSL.
22. Internal Reviewer for Internal Review, EUSL.
23. Chairman/Annual Research Session (ARS-FOS-2023).
24. General President, Eastern Chapter of the Sri Lanka Association for the Advancement of Science (SLAAS) (2023).
25. Chairman/International Conference on Multidisciplinary Research (ICMR-2024).
26. Member of Sports Advisory Board of the Eastern University, Sri Lanka.
27. Student Counsellor, Faculty of Science, Eastern University, Sri Lanka.
28. Coordinator/Optional Courses and Core Courses, Faculty of Science.
29. Member of the Local Organizing Committee of the International Conference on Mathematical Modelling which was organized by the Department of Mathematics, University of Colombo - 2015.
30. Member of the Progress Review Committee on Corporate Plan, Faculty of Science, EUSL.
31. Member of University Higher Degree Committee, Eastern University, Sri Lanka.
32. Head of the Department of Mathematics, Eastern University, Sri Lanka.
33. Member of the Editorial Committee of the International Conference EUSL (ICE – 2014).
34. Deputy Coordinator for Activity 3 of the Quality Innovation Grant (QIG) of BSc. (General) study programme, Eastern University, Sri Lanka.
35. Senior Student Counsellor, Eastern University, Sri Lanka.
36. Member of the Organizing Committee of the Annual Research Session (ARS), Eastern University, Sri Lanka.
37. Member of the Organizing Committee of the Annual Research Session (ARS), Faculty of Science, Eastern University, Sri Lanka.
38. Coordinator Career Guidance, Faculty of Science, Eastern University, Sri Lanka.
39. Senior Treasurer, Students’ Union, Faculty of Science, Eastern University, Sri Lanka.
40. Member of Curriculum Evaluation Committee, Eastern University, Sri Lanka.
41. Senate nominee for Campus Board, Trincomalee Campus.
42. Coordinator and Editor of the Book of Abstracts and Proceedings of the 5th Annual Research Session (ARS) 2006, Eastern University, Sri Lanka.
43. Faculty of Science Representative to the Quality Assurance Unit, Eastern University, Sri Lanka.
44. Member of the English Action Committee, Eastern University, Sri Lanka.
45. Act. Head/Department of Chemistry, Eastern University, Sri Lanka.
46. Faculty of Science Representative to Senate, Eastern University, Sri Lanka.
47. Director, Staff Development Centre, Eastern University, Sri Lanka.
48. Member of the Library Committee, Eastern University, Sri Lanka.
49. Senior Treasurer, Catholic Association, Eastern University, Sri Lanka.
50. Coordinator, “Publication of Academic Materials through the H. E. President’s Fund and the University Grants Commission”.
51. Chief Counsellor, Catholic Association, Eastern University, Sri Lanka.