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nlin.SI2023
Symmetries and Lie Algebra of Ramanujan Equation
Amlan K Halder, Rajeswari Seshadri, R Sinuvasan +1
Symmetry analysis of Ramanujan's system of differential equations is performed by representing it as a third-order equation. A new system consisting of a second-order and a first-o…
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)…