Spectra of Linearized Operators for NLS Solitary Waves
Spectra of Linearized Operators for NLS Solitary Waves
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DOI：
10.1137/050648389
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发表时间：
2006-11
期刊：
影响因子：
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通讯作者：
Shu-Ming Chang;S. Gustafson;K. Nakanishi;Tai-Peng Tsai
中科院分区：
文献类型：
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作者：
Shu-Ming Chang;S. Gustafson;K. Nakanishi;Tai-Peng Tsai
具有聚焦幂非线性项的非线性薛定谔方程存在孤波解。这些孤立波周围的线性化运营商的频谱是密切相关的孤立波的稳定性和长期动态的解决方案的NLS。我们研究这些光谱的详细，分析和数值。
Nonlinear Schrodinger equations (NLSs) with focusing power nonlinearities have solitary wave solutions. The spectra of the linearized operators around these solitary waves are intimately connected to stability properties of the solitary waves and to the long-time dynamics of solutions of NLSs. We study these spectra in detail, both analytically and numerically.