Multicomponent integrable wave equations I. Darboux-Dressing Transformation
可精确求解与可积系统
2015-06-26 v1 斑图形成与孤子
摘要
The Darboux-Dressing Transformations are applied to the Lax pair associated to systems of coupled nonlinear wave equations in the case of boundary values which are appropriate to both bright and dark soliton solutions. The general formalism is set up and the relevant equations are explicitly solved. Several instances of multicomponent wave equations of applicative interest, such as vector nonlinear Schroedinger-type equations and three resonant wave equations are considered.
引用
@article{arxiv.nlin/0610061,
title = {Multicomponent integrable wave equations I. Darboux-Dressing Transformation},
author = {Antonio Degasperis and Sara Lombardo},
journal= {arXiv preprint arXiv:nlin/0610061},
year = {2015}
}
备注
23 pages, standard LaTeX2e, submitted for publication