ORBITAL STABILITY OF PERIODIC TRAVELLING WAVES FOR COUPLED NONLINEAR SCHR¨ ODINGER EQUATIONS

ORBITAL STABILITY OF PERIODIC TRAVELLING WAVES FOR COUPLED NONLINEAR SCHR¨ ODINGER EQUATIONS
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耦合非线性薛定谔方程的周期行波轨道稳定性

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发表时间：
2010
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通讯作者：
A. Pastor
A. Pastor
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文献类型：
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作者：
A. Pastor

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本文讨论了耦合非线性薛定谔方程周期行波解的轨道稳定性。我们证明了周期行波解的光滑曲线的存在性。轨道稳定性分析是在哈密顿系统中发展起来的。我们既考虑与相应周期波具有相同基本周期的周期扰动的稳定性问题，也考虑与相应周期波具有两倍或两倍以上最小周期的周期扰动的稳定性问题。
This article addresses orbital stability of periodic travelling-wave solutions for coupled nonlinear Schrodinger equations. We prove the exis- tence of smooth curves of periodic travelling-wave solutions depending on the dnoidal-type functions. Orbital stability analysis is developed in the context of Hamiltonian systems. We consider both the stability problem by periodic perturbations which have the same fundamental period as the corresponding periodic wave and the stability problem by periodic perturbations having two or more times the minimal period as the corresponding periodic wave.