Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
Abstract
A Darboux transformation with multi-parameters for coupled generalized nonlinear Schrödinger equations is derived with the help of a gauge transformation of the spectral problem. As a reduction, a Darboux transformation of the generalized nonlinear Schrödinger equation is obtained, from which soliton solutions of the generalized nonlinear Schrödinger equation are given.
- Publication:
-
Journal of the Physical Society of Japan
- Pub Date:
- May 1999
- DOI:
- 10.1143/JPSJ.68.1508
- Bibcode:
- 1999JPSJ...68.1508G