Energy of internal modes of nonlinear waves and complex frequencies due to symmetry breaking.
Energy of internal modes of nonlinear waves and complex frequencies due to symmetry breaking.
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由于对称破缺而导致的非线性波和复杂频率的内模能量。
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
D. Skryabin
中科院分区：
文献类型：
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作者：
D. Skryabin
考虑一类Hamilton系统，证明了由非线性波支持的、由于扰动破坏连续对称性而出现的具有真实的频率的内模的能量，其符号由对称性本身决定，与扰动的性质无关.特别是，它示出的负能量模式出现作为一个结果，在扰动的非线性薛定谔方程的相位对称性的破坏。还导出了Vakhitov-Kolokolov内模能量的表达式。在这两种情况下的内部模式的能量符号的比较分析解释了孤立波和连续波的复杂频率的不稳定性的普遍存在的系统与破缺相对称性。
Considering a class of Hamiltonian systems, it is demonstrated that energy of the internal modes with real frequencies supported by nonlinear waves and appearing due to perturbations breaking a continuous symmetry has its sign determined by the symmetry itself, independently of the nature of the perturbations. In particular, it is shown that negative energy modes emerge as a result of the breaking of the phase symmetry in the perturbed nonlinear-Schrödinger equation. An expression for energy of the Vakhitov-Kolokolov internal modes is also derived. Comparative analysis of the energy signs of the internal modes in these two cases explains the ubiquity of instabilities with complex frequencies of solitary and continuous waves in systems with broken phase symmetry.