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ResearcherID: G-4685-2011

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Employment (1)

Eastern University, Sri Lanka: Batticaloa, Eastern, LK

1996-08-15 to present | Professor in Mathematics (Mathematics)
Employment
Source: Self-asserted source
Andrew Johnpillai

Education and qualifications (4)

University of the Witwatersrand: Johannesburg-Braamfontein, Gauteng, ZA

2000-01-01 to 2002-06-20 | PhD (Department of Mathematics)
Qualification
Source: Self-asserted source
Andrew Johnpillai

University of the Witwatersrand: Johannesburg-Braamfontein, Gauteng, ZA

1998-12-09 to 1999 | MSc (Department of Mathematics)
Qualification
Source: Self-asserted source
Andrew Johnpillai

Eastern University Sri Lanka: Batticaloa, Eastern, LK

1988-01-01 to 1992-12-01 | BSc. Special Degree in Mathematics (Second Class Upper Division)
Qualification
Source: Self-asserted source
Andrew Johnpillai

St. Michael’s College : Batticaloa, Eastern, LK

1973 to 1985 | G.C.E. (O/L) and G.C.E. (A/L)
Education
Source: Self-asserted source
Andrew Johnpillai

Professional activities (7)

University of the Witwatersrand: Johannesburg-Braamfontein, Gauteng, ZA

Postgraduate Merit Award (2000 - 2002) (Department of Mathematics)
Distinction
Source: Self-asserted source
Andrew Johnpillai

University of the Witwatersrand: Johannesburg-Braamfontein, Gauteng, ZA

Bradlow Postgraduate Award (2001) (Department of Mathematics)
Distinction
Source: Self-asserted source
Andrew Johnpillai

University of the Witwatersrand: Johannesburg-Braamfontein, Gauteng, ZA

ASA Educational Trust Postgraduate Award (2000) (Department of Mathematics)
Distinction
Source: Self-asserted source
Andrew Johnpillai

National Research Council: Colombo, LK

President’s Award for Scientific Publications (2015, 2013, 2012, 2011, 2008 & 2009, 2007)
Distinction
Source: Self-asserted source
Andrew Johnpillai

Mahapola Higher Education Scholarship Trust Fund, Sri Lanka : Colombo, LK

Mahapola Higher Education Scholarship (1988 -1992)
Distinction
Source: Self-asserted source
Andrew Johnpillai

Sri Lanka Association for the Advancement of Science (SLAAS): Colombo, LK

2002 to present
Membership
Source: Self-asserted source
Andrew Johnpillai

North-West University - Mafikeng Campus: Mmabatho, ZA

2009-10-01 to 2010-10-01 | Post doctoral Fellow (International Institute for Symmetry Analysis and Mathematical Modelling (IISAMM), Department of Mathematical Sciences)
Invited position
Source: Self-asserted source
Andrew Johnpillai

Works (41)

FOURTH-ORDER PATTERN FORMING PDES: PARTIAL AND APPROXIMATE SYMMETRIES

Mathematical Modelling and Analysis
2020-03-18 | Journal article
DOI: 10.3846/mma.2020.10115
Contributors: Sameerah Jamal; Andrew G. Johnpillai
Source: check_circle
Crossref

Travelling wave group-invariant solutions and conservation laws for θ-equation

Malaysian Journal of Mathematical Sciences
2019 | Journal article
EID:

2-s2.0-85065292969
Contributors: Johnpillai, A.G.; Khalique, C.M.; Mahomed, F.M.
Source: Self-asserted source
Andrew Johnpillai via Scopus - Elsevier

Constitutive thermal laws and the exact solutions of Timoshenko systems

Indian Journal of Physics
2019-04-12 | Journal article
DOI: 10.1007/s12648-019-01449-z
Part of ISSN: 0973-1458
Part of ISSN: 0974-9845
Source: Self-asserted source
Andrew Johnpillai

Travelling wave group-invariant solutions and conservation laws for θ-equation

Malaysian Journal of Mathematical Sciences
2019-01 | Journal article
Source: Self-asserted source
Andrew Johnpillai

Exact solutions via invariant approach for Black-Scholes model with time-dependent parameters

Mathematical Methods in the Applied Sciences
2018-08 | Journal article
DOI: 10.1002/mma.4903
Part of ISSN: 0170-4214
Source: Self-asserted source
Andrew Johnpillai

Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation

Applied Mathematics and Computation
2018-08 | Journal article
DOI: 10.1016/j.amc.2018.03.011
Contributors: K. Sakkaravarthi; A.G. Johnpillai; A. Durga Devi; T. Kanna; M. Lakshmanan
Source: check_circle
Crossref

Noether Symmetry Analysis of the Dynamic Euler-Bernoulli Beam Equation

Zeitschrift für Naturforschung A
2016-01-01 | Journal article
DOI: 10.1515/zna-2015-0292
Part of ISSN: 1865-7109
Part of ISSN: 0932-0784
Source: Self-asserted source
Andrew Johnpillai

Symmetry classification and joint invariants for the scalar linear (1+1) elliptic equation

Communications in Nonlinear Science and Numerical Simulation
2015-08 | Journal article
DOI: 10.1016/j.cnsns.2014.11.022
Part of ISSN: 1007-5704
Source: Self-asserted source
Andrew Johnpillai

On the solutions and conservation laws for the Sharma-Tasso-Olver equation

ScienceAsia
2014 | Journal article
DOI: 10.2306/scienceasia1513-1874.2014.40.451
Part of ISSN: 1513-1874
Source: Self-asserted source
Andrew Johnpillai

Fundamental Solution via Invariant Approach for a Brain Tumor Model and its Extensions

Zeitschrift für Naturforschung A
2014-12-01 | Journal article
DOI: 10.5560/zna.2014-0064
Part of ISSN: 1865-7109
Part of ISSN: 0932-0784
Source: Self-asserted source
Andrew Johnpillai

Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation

Abstract and Applied Analysis
2013 | Journal article
DOI: 10.1155/2013/204746
Part of ISSN: 1085-3375
Part of ISSN: 1687-0409
Source: Self-asserted source
Andrew Johnpillai

On Linearization by Generalized Sundman Transformations of a Class of Li�nard Type Equations and Its Generalization

Applied Mathematics & Information Sciences
2013-11-01 | Journal article
DOI: 10.12785/amis/070627
Part of ISSN: 1935-0090
Part of ISSN: 2325-0399
Source: Self-asserted source
Andrew Johnpillai

Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries

International Journal of Theoretical Physics
2013-10 | Journal article
DOI: 10.1007/s10773-013-1656-6
Part of ISSN: 0020-7748
Part of ISSN: 1572-9575
Source: Self-asserted source
Andrew Johnpillai

Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin–Bona–Mahoney equation

Applied Mathematics Letters
2013-03 | Journal article
DOI: 10.1016/j.aml.2012.10.012
Part of ISSN: 0893-9659
Source: Self-asserted source
Andrew Johnpillai

Exact Group Invariant Solutions and Conservation Laws of the Complex Modified Korteweg–de Vries Equation

Zeitschrift für Naturforschung A
2013-01-01 | Journal article
DOI: 10.5560/zna.2013-0027
Part of ISSN: 1865-7109
Part of ISSN: 0932-0784
Source: Self-asserted source
Andrew Johnpillai

Chiral Solitons with Bohm Potential by Lie Group Analysis and Traveling Wave Hypothesis

Romanian Journal of Physics
2012 | Journal article
Source: Self-asserted source
Andrew Johnpillai

Lie and Riccati Linearization of a Class of Liénard Type Equations

Journal of Applied Mathematics
2012 | Journal article
DOI: 10.1155/2012/171205
Part of ISSN: 1110-757X
Part of ISSN: 1687-0042
Source: Self-asserted source
Andrew Johnpillai

Solutions of the perturbed Klein-Gordon equations

Iranian Journal of Science and Technology, Transaction A: Science
2012 | Journal article
EID:

2-s2.0-84871128191
Contributors: Biswas, A.; Ebadi, G.; Fessak, M.; Johnpillai, A.G.; Johnson, S.; Krishnan, E.V.; Yildirim, A.
Source: Self-asserted source
Andrew Johnpillai via Scopus - Elsevier

Symmetry reductions and exact solutions of a variable coefficient (2+1)-Zakharov-Kuznetsov equation

Mathematical and Computational Applications
2012 | Journal article
EID:

2-s2.0-84859399590
Contributors: Moleleki, L.D.; Johnpillai, A.G.; Khalique, C.M.
Source: Self-asserted source
Andrew Johnpillai via Scopus - Elsevier

Approximate conservation laws of nonlinear perturbed heat and wave equations

Nonlinear Analysis: Real World Applications
2012-12 | Journal article
DOI: 10.1016/j.nonrwa.2012.04.011
Part of ISSN: 1468-1218
Source: Self-asserted source
Andrew Johnpillai

Solutions of the perturbed Klein-Gordon equations

Iranian Journal of Science and Technology (Sciences)
2012-11 | Journal article
DOI: 10.22099/ijsts.2012.2105
Source: Self-asserted source
Andrew Johnpillai

Symmetry Reductions and Exact Solutions of a Variable Coefficient (2+1)-Zakharov-Kuznetsov Equation

Mathematical and Computational Applications
2012-08-01 | Journal article
DOI: 10.3390/mca17020132
Part of ISSN: 2297-8747
Source: Self-asserted source
Andrew Johnpillai

Lie point symmetries, partial Noether operators and first integrals of the Painlevé–Gambier equations

Nonlinear Analysis: Theory, Methods & Applications
2012-01 | Journal article
DOI: 10.1016/j.na.2011.05.099
Part of ISSN: 0362-546X
Source: Self-asserted source
Andrew Johnpillai

Exact solutions of the mKdV equation with time-dependent coefficients

Mathematical Communications
2011 | Journal article
EID:

2-s2.0-84855332820
Contributors: Johnpillai, A.G.; Khalique, C.M.; Biswas, A.
Source: Self-asserted source
Andrew Johnpillai via Scopus - Elsevier

Symmetry reductions and exact solutions of a variable coefficient (2+1)-Zakharov-Kuznetsov equation

International Journal of Physical Sciences
2011 | Journal article
DOI: 10.5897/IJPS11.1325
EID:

2-s2.0-84455181482
Contributors: Moleleki, L.D.; Johnpillai, A.G.; Khalique, C.M.
Source: Self-asserted source
Andrew Johnpillai via Scopus - Elsevier

Exact Solutions of the mKdV Equation with Time-Dependent Coefficients

Mathematical Communications
2011-12-15 | Journal article
Source: Self-asserted source
Andrew Johnpillai

Conservation laws of KdV equation with time dependent coefficients

Communications in Nonlinear Science and Numerical Simulation
2011-08 | Journal article
DOI: 10.1016/j.cnsns.2010.10.031
Part of ISSN: 1007-5704
Source: Self-asserted source
Andrew Johnpillai

Variational approaches to conservation laws for a nonlinear evolution equation with time dependent coefficients

Quaestiones Mathematicae
2011-06 | Journal article
DOI: 10.2989/16073606.2011.594238
Part of ISSN: 1607-3606
Part of ISSN: 1727-933X
Source: Self-asserted source
Andrew Johnpillai

Lie group classification and invariant solutions of mKdV equation with time-dependent coefficients

Communications in Nonlinear Science and Numerical Simulation
2011-03 | Journal article
DOI: 10.1016/j.cnsns.2010.06.025
Part of ISSN: 1007-5704
Source: Self-asserted source
Andrew Johnpillai

Symmetry Solutions and Reductions of a Class of Generalized .2 C 1/-dimensional Zakharov–Kuznetsov Equation

International Journal of Nonlinear Sciences and Numerical Simulation
2011-01 | Journal article
DOI: 10.1515/ijnsns.2011.003
Part of ISSN: 2191-0294
Part of ISSN: 1565-1339
Source: Self-asserted source
Andrew Johnpillai

CONSERVATION LAWS OF SOME NON-VARIATIONAL PERTURBED PDE'S VIA A PARTIAL VARIATIONAL APPROACH

International Journal of Modern Physics B
2010-09-10 | Journal article
DOI: 10.1142/s0217979210056116
Part of ISSN: 0217-9792
Part of ISSN: 1793-6578
Source: Self-asserted source
Andrew Johnpillai

Conservation laws of a nonlinear wave equation

Nonlinear Analysis: Real World Applications
2010-08 | Journal article
DOI: 10.1016/j.nonrwa.2009.06.013
Part of ISSN: 1468-1218
Source: Self-asserted source
Andrew Johnpillai

Group analysis of KdV equation with time dependent coefficients

Applied Mathematics and Computation
2010-08 | Journal article
DOI: 10.1016/j.amc.2010.05.043
Part of ISSN: 0096-3003
Source: Self-asserted source
Andrew Johnpillai

Exact solutions of KdV equation with time-dependent coefficients

Applied Mathematics and Computation
2010-07 | Journal article
DOI: 10.1016/j.amc.2010.03.133
Part of ISSN: 0096-3003
Source: Self-asserted source
Andrew Johnpillai

Approximate Noether-type symmetries and conservation laws via partial Lagrangians for PDEs with a small parameter

Journal of Computational and Applied Mathematics
2009-01 | Journal article
DOI: 10.1016/j.cam.2008.01.020
Part of ISSN: 0377-0427
Source: Self-asserted source
Andrew Johnpillai

Group analysis of nonlinear fin equations

Applied Mathematics Letters
2008-03 | Journal article
DOI: 10.1016/j.aml.2007.02.023
Part of ISSN: 0893-9659
Source: Self-asserted source
Andrew Johnpillai

Enhanced group analysis and conservation laws of variable coefficient reaction–diffusion equations with power nonlinearities

Journal of Mathematical Analysis and Applications
2007-06 | Journal article
DOI: 10.1016/j.jmaa.2006.08.056
Part of ISSN: 0022-247X
Source: Self-asserted source
Andrew Johnpillai

A basis of approximate conservation laws for PDEs with a small parameter

International Journal of Non-Linear Mechanics
2006-07 | Journal article
DOI: 10.1016/j.ijnonlinmec.2006.04.009
Part of ISSN: 0020-7462
Source: Self-asserted source
Andrew Johnpillai

Nonclassical Potential Symmetries and Exact Solutions of Partial Differential Equations

10th International Conference In Modern Group Analysis, MOGRAN X
2004 | Conference paper
Source: Self-asserted source
Andrew Johnpillai

Nonclassical Potential Symmetry Generators of Differential Equations

Nonlinear Dynamics
2002 | Journal article
DOI: 10.1023/a:1020498600432
Part of ISSN: 0924-090X
Source: Self-asserted source
Andrew Johnpillai

Variational Formulation of Approximate Symmetries and Conservation Laws

International Journal of Theoretical Physics
2001 | Journal article
DOI: 10.1023/a:1017561629174
Part of ISSN: 0020-7748
Source: Self-asserted source
Andrew Johnpillai
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