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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)…