An N-Soliton Solution for the Nonlinear Schrödinger Equation Coupled to the Boussinesq Equation

Abstract

A system comprised of the nonlinear Schrödinger equation coupled to the Boussinesq equation is proposed. This system reduces to the nonlinear Schrödinger equation, the Zakharov equations, or the equations studied by Nishikawa et al ., (as well as Yajima and Satsuma), for an appropriate choice of parameters. It is found that an N-soliton solution exists for a particular choice of parameters.