5 papers
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…
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…
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)…
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…
Solution of the Master Equation for Quantum Brownian Motion given by the Schrödinger Equation
R. Sinuvasan, A. Paliathanasis, R. M. Morris +1
We consider the master equation of quantum Brownian motion and with the application of the group invariant transformation we show that there exists a surface on which the solution…