(2+1)维Fordy-Kulish系统的双复表述与Moyal形变
可精确求解与可积系统
2009-10-31 v2
摘要
利用双复形式，我们从两个方面构造了二维时空上Fordy-Kulish矩阵非线性薛定谔方程系统的推广。首先，我们得到了相应三维时空的方程。其次，对时空坐标施加Moyal形变，并以合适方式将函数的普通乘积替换为Moyal乘积。两种推广都保持了无穷多守恒律的存在性。
引用
@article{arxiv.nlin/0008016,
title = {Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems},
author = {Aristophanes Dimakis and Folkert Muller-Hoissen},
journal= {arXiv preprint arXiv:nlin/0008016},
year = {2009}
}
备注
13 pages, additional references, serious revision in section 5: W-equation (5.14) and its derivation was missing