In this article we derive the reflectionless solutions of the 2 + 2 matrix NLS equation with vanishing boundary conditions and four different symmetries by using the matrix triplet method of representing the Marchenko integral kernel in separated form. Apart from using the Marchenko method, these solutions are also verified by direct substitution in the 2 + 2 NLS equation.

Reflectionless Solutions for Square Matrix NLS with Vanishing Boundary Conditions

Demontis F.;van der Mee C.
2019

Abstract

In this article we derive the reflectionless solutions of the 2 + 2 matrix NLS equation with vanishing boundary conditions and four different symmetries by using the matrix triplet method of representing the Marchenko integral kernel in separated form. Apart from using the Marchenko method, these solutions are also verified by direct substitution in the 2 + 2 NLS equation.
Inverse scattering transform; Matrix Nonlinear Schroedinger equation; Matrix triplets method; Reflectionless solutions
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11584/282048
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