Exact solitary wave solutions of the nonlinear Schrödinger equation with a source
T. Soloman Raju, C. Nagaraja Kumar, Prasanta K. Panigrahi
Abstract
We use a fractional transformation to connect the traveling wave solutions of the nonlinear Schrödinger equation (NLSE), phase-locked with a source, to the elliptic functions satisfying, f af λf3=0. The solutions are necessarily of the rational form, containing both trigonometric and hyperbolic types as special cases. Bright, and dark solitons, respectively, for attractive and repuslive type of nonlinearities, as also singular solitons, are obtained in suitable range of parameter values.
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