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20152020
most citedLie Symmetries and Similarity transformations for the Generalized Boiti-Leon-Pempinelli equations

1 citations · 1 across the 6 of their papers we have counts for

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7 papers

nlin.SI20201 cited

Lie Symmetries and Similarity transformations for the Generalized Boiti-Leon-Pempinelli equations

K. Krishnakumar, A. Durga Devi, A. Paliathanasis

We perform a detailed classification of the Lie point symmetries and of the resulting similarity transformations for the Generalized Boiti-Leon-Pempinelli equations. The latter equ…

nlin.SI2020

Lie symmetries and similarity solutions for the generalized Zakharov equations

K. Krishnakumar, A. Durga Devi, A. Paliathanasis

The theory of Lie point symmetries is applied to study the generalized Zakharov system with two unknown parameters. The system reduces into a three-dimensional real value functions…

nlin.SI2020

Lie symmetry analysis and explicit solutions for the time fractional generalized Burgers-Fisher Equation

Ramya Selvaraj, V. Swaminathan, A. Durga Devi +1

In this article, we study the Lie point symmetries for the time fractional generalized Burgers-Fisher (GBF) equation. While getting an appropriate combination of symmetries, the ti…

nlin.SI2019

Algebraic Properties for Certain Form of the Members of Sequence on Generalized Modified Camassa-Holm Equation

K Krishnakumar, A Durga Devi, V Srinivasan +1

We study the symmetry and integrability of a Generalized Modified Camassa-Holm Equation (GMCH) of the form $$u_{t}-u_{xxt}+2nu_{x}(u^2-u_{x}^2)^{n-1}(u-u_{xx})^2+(u^2-u_{x}^2)^{n}(…

nlin.SI2019

Symmetry and Singularity Properties of Steen-Ermakov-Milne-Pinney Equations

K Krishnakumar, A Durga Devi, R Sinuvasan +1

We examine the general element of the class of ordinary differential equations, , for its Lie point symmetries. We observe that the algebraic properties of…

nlin.SI2019

Symmetries and Integrability of Modified Camassa-Holm Equation with an Arbitrary Parameter

A Durga Devi, K Krishnakumar, R Sinuvasan +1

We study the symmetry and integrability of a modified Camassa-Holm Equation (MCH), with an arbitrary parameter of the form $$u_{t}+k(u-u_{xx})^2u_{x}-u_{xxt}+(u^{2}-{u_{x}}^2)…