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1

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

A.G. Johnpillai, A.H. Kara, F.M. Mahomed

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 594 KB

english, 2009

2

Variational Formulation of Approximate Symmetries and Conservation Laws

A.G. Johnpillai, A.H. Kara

Journal:

International Journal of Theoretical Physics

Year:

2001

Language:

english

File:

PDF, 54 KB

english, 2001

3

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

Sakkaravarthi, K., Johnpillai, A.G., Durga Devi, A., Kanna, T., Lakshmanan, M.

Journal:

Applied Mathematics and Computation

Year:

2018

Language:

english

File:

PDF, 2.06 MB

english, 2018

4

Approximate conservation laws of nonlinear perturbed heat and wave equations

Ashfaque H. Bokhari, A.G. Johnpillai, F.M. Mahomed, F.D. Zaman

Journal:

Nonlinear Analysis: Real World Applications

Year:

2012

Language:

english

File:

PDF, 206 KB

english, 2012

5

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

O.O. Vaneeva, A.G. Johnpillai, R.O. Popovych, C. Sophocleous

Journal:

Journal of Mathematical Analysis and Applications

Year:

2007

Language:

english

File:

PDF, 243 KB

english, 2007

6

Classification of Static Spherically Symmetric Spacetimes by Noether Symmetries

Bokhari, Ashfaque H., Johnpillai, A. G., Kara, A. H., Mahomed, F. M., Zaman, F. D.

Journal:

International Journal of Theoretical Physics

Year:

2013

Language:

english

File:

PDF, 366 KB

english, 2013

7

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

A.G. Johnpillai, C.M. Khalique, F.M. Mahomed

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2012

Language:

english

File:

PDF, 209 KB

english, 2012

8

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

A.G. Johnpillai, A.H. Kara, Anjan Biswas

Journal:

Applied Mathematics Letters

Year:

2013

Language:

english

File:

PDF, 203 KB

english, 2013

9

Exact solutions of KdV equation with time-dependent coefficients

A.G. Johnpillai, C.M. Khalique, Anjan Biswas

Journal:

Applied Mathematics and Computation

Year:

2010

Language:

english

File:

PDF, 156 KB

english, 2010

10

Group analysis of KdV equation with time dependent coefficients

A.G. Johnpillai, C.M. Khalique

Journal:

Applied Mathematics and Computation

Year:

2010

Language:

english

File:

PDF, 211 KB

english, 2010

11

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

A.G. Johnpillai, A.H. Kara, F.M. Mahomed

Journal:

International Journal of Non-Linear Mechanics

Year:

2006

Language:

english

File:

PDF, 228 KB

english, 2006

12

Singular invariant equation for the (1+1) Fokker–Planck equation

I. K. Johnpillai, F. M. Mahomed

Year:

2001

Language:

english

File:

PDF, 263 KB

english, 2001

13

Noether Symmetry Analysis of the Dynamic Euler-Bernoulli Beam Equation

Johnpillai, A.G., Mahomed, K.S., Harley, C., Mahomed, F.M.

Journal:

Zeitschrift für Naturforschung A

Year:

2016

Language:

english

File:

PDF, 719 KB

english, 2016

14

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

A.G. Johnpillai, C.M. Khalique

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2011

Language:

english

File:

PDF, 214 KB

english, 2011

15

Lie group symmetry analysis for granular media stress equations

I. Kenneth Johnpillai, Scott W. McCue, James M. Hill

Journal:

Journal of Mathematical Analysis and Applications

Year:

2005

Language:

english

File:

PDF, 209 KB

english, 2005

16

Symmetry analysis for uniaxial compression of a hypoplastic granular material

Scott W. McCue, I. Kenneth Johnpillai, James M. Hill

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2005

Language:

english

File:

PDF, 295 KB

english, 2005

17

Group analysis of nonlinear fin equations

O.O. Vaneeva, A.G. Johnpillai, R.O. Popovych, C. Sophocleous

Journal:

Applied Mathematics Letters

Year:

2008

Language:

english

File:

PDF, 182 KB

english, 2008

18

Conservation laws of KdV equation with time dependent coefficients

A.G. Johnpillai, C.M. Khalique

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2011

Language:

english

File:

PDF, 236 KB

english, 2011

19

Conservation laws of a nonlinear wave equation

A.G. Johnpillai, A.H. Kara, F.M. Mahomed

Journal:

Nonlinear Analysis: Real World Applications

Year:

2010

Language:

english

File:

PDF, 262 KB

english, 2010

20

Nonclassical Potential Symmetry Generators of Differential Equations

A. G. Johnpillai, A. H. Kara

Journal:

Nonlinear Dynamics

Year:

2002

Language:

english

File:

PDF, 84 KB

english, 2002

21

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

JOHNPILLAI, A. G., KARA, A. H., MAHOMED, F. M.

Journal:

International Journal of Modern Physics B

Year:

2010

Language:

english

File:

PDF, 205 KB

english, 2010

22

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

Mahomed, F.M., Johnpillai, A.G., Aslam, A.

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2015

Language:

english

File:

PDF, 424 KB

english, 2015

23

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

Johnpillai, Andrew G., Mahomed, Fazal M., Abbasbandy, Saeid

Journal:

Zeitschrift für Naturforschung A

Year:

2014

Language:

english

File:

PDF, 3.33 MB

english, 2014

24

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

Johnpillai, A. G., Kara, A. H., Biswas, Anjan

Journal:

International Journal of Nonlinear Sciences and Numerical Simulation

Year:

2011

Language:

english

File:

PDF, 96 KB

english, 2011

25

Lie and Riccati Linearization of a Class of Liénard Type Equations

Johnpillai, A. G., Khalique, C. M., Mahomed, F. M.

Journal:

Journal of Applied Mathematics

Year:

2012

Language:

english

File:

PDF, 91 KB

english, 2012

26

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

Johnpillai, Andrew Gratien, Khalique, Chaudry Masood

Journal:

Abstract and Applied Analysis

Year:

2013

Language:

english

File:

PDF, 121 KB

english, 2013

27

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

A. G. Johnpillai, A. H. Kara, A. Biswas

Year:

2013

Language:

english

File:

PDF, 130 KB

english, 2013

28

Goursat Problem for the Factorizable Hyperbolic Equation in Two Independent Variables

Johnpillai, I, Mahomed, F

Journal:

Mathematical and Computational Applications

Year:

2003

File:

PDF, 298 KB

2003

29

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

Johnpillai, A.G., Khalique, C.M.

Journal:

Quaestiones Mathematicae

Year:

2011

Language:

english

File:

PDF, 208 KB

english, 2011

30

Basis of Joint Invariants for (1+1) Linear Hyperbolic Equations

Johnpillai, I K, Mahomed, F M, Soh, C Wafo

Journal:

Journal of Nonlinear Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 262 KB

english, 2002

31

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

Naz, Rehana, Johnpillai, Andrew Gratien

Journal:

Mathematical Methods in the Applied Sciences

Year:

2018

Language:

english

File:

PDF, 242 KB

english, 2018

32

Constitutive thermal laws and the exact solutions of Timoshenko systems

Jamal, S., Johnpillai, A. G.

Journal:

Indian Journal of Physics

Year:

2019

Language:

english

File:

PDF, 1.05 MB

english, 2019

33

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

Moleleki, L., Johnpillai, A., Khalique, C.

Journal:

Mathematical and Computational Applications

Year:

2012

Language:

english

File:

PDF, 59 KB

english, 2012

34

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

Moleleki, L., Johnpillai, A., Khalique, C.

Journal:

Mathematical and Computational Applications

Year:

2012

File:

PDF, 59 KB

2012

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