most citedA Group Theoretical Identification of Integrable Equations in the Liénard Type Equation : Part II: Equations having Maximal Lie Point Symmetries

33 citations · 75 across the 5 of their papers we have counts for

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5 papers

nlin.SI2009★ 33 cited

A Group Theoretical Identification of Integrable Equations in the Liénard Type Equation : Part II: Equations having Maximal Lie Point Symmetries

S. N. Pandey, P. S. Bindu, M. Senthilvelan +1

In this second of the set of two papers on Lie symmetry analysis of a class of Liénard type equation of the form , where over dot denotes differ…

nlin.SI2009★ 27 cited

A Group Theoretical Identification of Integrable Cases of the Liénard Type Equation : Part I: Equations having Non-maximal Number of Lie point Symmetries

S. N. Pandey, P. S. Bindu, M. Senthilvelan +1

We carry out a detailed Lie point symmetry group classification of the Liénard type equation, , where and are arbitrary smooth function…

nlin.SI2004★ 3 cited

On the Integrability, BÄcklund Transformation and Symmetry Aspects of a Generalized Fisher Type Nonlinear Reaction-Diffusion Equation

P. S. Bindu, M. Senthilvelan, M. Lakshmanan

The dynamics of nonlinear reaction-diffusion systems is dominated by the onset of patterns and Fisher equation is considered to be a prototype of such diffusive equations. Here we…

nlin.SI2004★ 9 cited

Singularity Structure, Symmetries and Integrability of Generalized Fisher Type Nonlinear Diffusion Equation

P S Bindu, M Senthilvelan, M Lakshmanan

In this letter, the integrability aspects of a generalized Fisher type equation with modified diffusion in (1+1) and (2+1) dimensions are studied by carrying out a singularity stru…

nlin.SI2004★ 3 cited

Symmetries and Integrability Properties of Generalized Fisher Type Nonlinear Diffusion Equation

P. S. Bindu, M. Lakshmanan

Nonlinear reaction-diffusion systems are known to exhibit very many novel spatiotemporal patterns. Fisher equation is a prototype of diffusive equations. In this contribution we in…