The Darboux Transformation of Some Manakov Systems

Authors

Otis C. Wright III, Cedarville UniversityFollow

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

Recommended Citation

Wright, O. C. (2003). The Darboux Transformation of Some Manakov Systems. Applied Mathematics Letters, 16, 647-652.