71 citations · 150 across the 29 of their papers we have counts for
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Generalized gauge transformation approach to construct dark solitons of coupled nonlinear Schrodinger type equations
P. S. Vinayagam, R. Radha, Vivek M. Vyas +1
We harness the freedom in the celebrated gauge transformation approach to generate dark solitons of coupled nonlinear Schrödinger (NLS) type equations. The new approach which is pu…
A method to solve nonlinear Schrödinger equation using Riccati equation
Vivek M. Vyas, Rama Gupta, C. N. Kumar +1
A method to find exact solutions to nonlinear Schrödinger equation, defined on a line and on a plane, is found by connecting it with second order linear ordinary differential equat…
Chirped chiral solitons in nonlinear Schrödinger equation with self-steepening and self-frequency shift
Vivek M. Vyas, Pankaj Patel, Prasanta K. Panigrahi +2
We find exact solutions to nonlinear Schrödinger equation in the presence of self-steepening and self-frequency shift. These include periodic solutions and localized solutions of d…
Soliton solutions of driven non-linear and higher order non-linear Schrödinger equations
Vivek M Vyas, T Soloman Raju, C Nagaraja Kumar +1
We analyse the structure of the exact, dark and bright soliton solutions of the driven non-linear Schrödinger equation. It is found that, a wide class of solutions of the higher or…