3 papers
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)…
math.AP2019
Cheng Equation: A Revisit Through Symmetry Analysis
Amlan K Halder, R Sinuvasan, A Paliathanasis +1
The symmetry analysis of the Cheng Equation is performed. The Cheng Equation is reduced to a first-order equation of either Abel's Equations, the analytic solution of which is give…