Block-diagonalization of the linearized coupled-mode system
动力系统
2009-11-11 v1 数值分析
摘要
We consider the Hamiltonian coupled-mode system that occur in nonlinear optics, photonics, and atomic physics. Spectral stability of gap solitons is determined by eigenvalues of the linearized coupled-mode system, which is equivalent to a four-by-four Dirac system with sign-indefinite metric. In the special class of symmetric nonlinear potentials, we construct a block-diagonal representation of the linearized equations, when the spectral problem reduces to two coupled two-by-two Dirac systems. The block-diagonalization is used in numerical computations of eigenvalues that determine stability of gap solitons.
引用
@article{arxiv.math/0504442,
title = {Block-diagonalization of the linearized coupled-mode system},
author = {M. Chugunova and D. Pelinovsky},
journal= {arXiv preprint arXiv:math/0504442},
year = {2009}
}
备注
16 pages, 2 figuresn