Stability criterion for multi-component solitary waves
斑图形成与孤子
2009-10-31 v1 可精确求解与可积系统
摘要
We obtain the most general matrix criterion for stability and instability of multi-component solitary waves considering a system of incoherently coupled nonlinear Schrodinger equations. Soliton stability is studied as a constrained variational problem which is reduced to finite-dimensional linear algebra. We prove that unstable (all real and positive) eigenvalues of the linear stability problem for multi-component solitary waves are connected with negative eigenvalues of the Hessian matrix, the latter is constructed for the energetic surface of N-component spatially localized stationary solutions.
引用
@article{arxiv.nlin/0006036,
title = {Stability criterion for multi-component solitary waves},
author = {Dmitry E. Pelinovsky and Yuri S. Kivshar},
journal= {arXiv preprint arXiv:nlin/0006036},
year = {2009}
}
备注
submitted to Phys. Rev. E