耦合非线性薛定谔方程的多孤子解与可积性研究
可精确求解与可积系统
2009-10-31 v1
摘要
利用Painleve奇异性结构分析,我们证明了耦合高阶非线性薛定谔(CHNLS)方程具有Painleve性质。利用Painleve分析的结果,我们成功地将CHNLS方程Hirota双线性化,并显式地求出单孤子和双孤子解。显式地构造了Lax对。
引用
@article{arxiv.nlin/0008042,
title = {Multisoliton solutions and integrability aspects of coupled nonlinear Schrodinger equations},
author = {M. N. Vinoj and V. C. Kuriakose},
journal= {arXiv preprint arXiv:nlin/0008042},
year = {2009}
}
备注
Eight pages and six figures. Physical Review E (to be appear)