Multipulses in discrete Hamiltonian nonlinear systems.
Multipulses in discrete Hamiltonian nonlinear systems.
复制标题
离散哈密顿非线性系统中的多重脉冲。
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
P. Kevrekidis
中科院分区：
文献类型：
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作者：
P. Kevrekidis
本文研究了离散哈密顿非线性系统中多脉冲的行为。本研究以离散的非线性薛定谔方程为基准系统。为了识别离散问题中的主导因素，采用了奇异摄动方法和变分方法。这两种方法的结果表明，在评估离散和指数尾脉冲相互作用的相互作用方面是一致的。它们还允许人们理解为什么离散系统可以维持(静态)多脉冲构型，这一结论随后得到了数值实验的验证，这与人们对其连续统兄弟姐妹的看法相反。
In this work, the behavior of multipulses in discrete Hamiltonian nonlinear systems is investigated. The discrete nonlinear Schrödinger equation is used as the benchmark system for this study. A singular perturbation methodology as well as a variational approach are implemented in order to identify the dominant factors in the discrete problem. The results of the two methodologies are shown to coincide in assessing the interplay of discreteness and exponential tail-tail pulse interaction. They also allow one to understand why, contrary to what is believed for their continuum siblings, discrete systems can sustain (static) multipulse configurations, a conclusion that is subsequently verified by numerical experiment.