New integrable systems of derivative nonlinear Schrödinger equations with multiple components

1999/05/06 by T. Tsuchida, M. Wadati · 1 citation
Physics and Astronomy · #solv-int #nlin.SI

paper · pdf · doi:10.1016/s0375-9601(99)00272-8

published as Phys. Lett. A 257 (1999) 53-64 · 15 pages, LaTeX209, to appear in Phys. Lett. A

arxiv created 1999/05/06 · arxiv updated 2009/11/30

Abstract

The Lax pair for a derivative nonlinear Schrödinger equation proposed by Chen-Lee-Liu is generalized into matrix form. This gives new types of integrable coupled derivative nonlinear Schrödinger equations. By virtue of a gauge transformation, a new multi-component extension of a derivative nonlinear Schrödinger equation proposed by Kaup-Newell is also obtained.

Cited by

• A unified approach to the AKNS, DNLS, KP and mKP hierarchies in the anti-self-dual Yang-Mills reduction