Science and Mathematics Faculty Publications

Title

The Darboux Transformation of Some Manakov Systems

Document Type

Article

Publication Date

7-2003

Journal Title

Applied Mathematics Letters

Volume

16

Issue

5

First Page

647

Last Page

652

Abstract

The Darboux transformation is explicitly constructed for a coupled system of an arbitrary number of focusing or defocusing nonlinear Schrödinger fields with cubic nonlinearity (i.e., a Manakov system with an arbitrary number of fields). An immediate consequence is an explicit formula for an auto-Bäcklund transformation for the Manakov system.

Keywords

Bäcklund transformation, Darboux transformation, Lax pair, Homoclinic orbit, Coupled NLS equations

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