Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1999-06-28
Nonlinear Sciences
Exactly Solvable and Integrable Systems
9 pages, no figure
Scientific paper
Existence of a new class of soliton solutions is shown for higher order nonlinear Schrodinger equation, describing thrid order dispersion, Kerr effect and stimulated Raman scattering. These new solutions have been obtaiened by invoking a group of nonlinear transformations acting on localised stable solutions. Stability of these solutions has been studied for different values of the arbitrary coefficients, involved in the recursion relation and consequently, different values of coefficient lead to different transmission rates for almost same input power. Another series solution containing even powers of localised stable solution is shown to exist for higher order nonlinear Schrodinger equation.
Ghosh Sasanka
Nandy Sudipta
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