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Inverse scattering method for square matrix nonlinear Schrödinger equation under nonvanishing boundary conditions

Jun'ichi Ieda·Masaru Uchiyama·Miki Wadati
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Abstract

Matrix generalization of the inverse scattering method is developed to solve the multicomponent nonlinear Schrödinger equation with nonvanishing boundary conditions. It is shown that the initial value problem can be solved exactly. The multi-soliton solution is obtained from the Gel'fand--Levitan--Marchenko equation.

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Jun'ichi Ieda, Masaru Uchiyama, Miki Wadati. 2006-11-24. Inverse scattering method for square matrix nonlinear Schrödinger equation under nonvanishing boundary conditions. https://doi.org/10.1063/1.2423222

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