Inverse scattering approach to coupled higher order nonlinear Schrödinger equation and N-soliton solutions

Details Inverse scattering approach to coupled higher order nonlinear Schrödinger equation and N-soliton solutions Inverse scattering approach to coupled higher order nonlinear Schrödinger equation and N-soliton solutions

2003-04-02

arxiv.org/abs/nlin/0304004v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages

Scientific paper

A generalized inverse scattering method has been applied to the linear problem associated with the coupled higher order nonlinear schr\"odinger equation to obtain it's $N$-soliton solution. An infinite number of conserved quantities have been obtained by solving a set of coupled Riccati equations. It has been shown that the coupled system admits two different class of solutions, characterised by the number of local maxima of amplitude of the soliton.

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