非线性薛定谔方程中的双波长泵浦晶格费米-帕斯塔-乌兰递推现象

IF 1.5 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Chinese Physics B Pub Date : 2023-12-22 DOI:10.1088/1674-1056/ad181e

Qian Zhang, Xiankun Yao, Heng Dong

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引用次数: 0

摘要

我们的研究表明，非线性薛定谔方程（NLSE）中双波长泵浦调制不稳定性（MI）的非线性阶段可以通过模截断方法进行有效分析。由此产生的复杂异面不稳定性结构揭示了非线性波所有可能的动态轨迹。值得注意的是，我们还研究了 NLSE 中调制波背景上的晶格-费米-帕斯塔-乌拉姆递归，并沿着异链结构的哈密顿轮廓分析了它们的动态轨迹。结果表明，与之前报道的非线性波相比，非线性波的动态行为要丰富得多。这种新型非线性波有望为 MI 研究注入新的活力。

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Dual-wavelength pumped latticed Fermi-Pasta-Ulam recurrences in Nonlinear Schrödinger Equation

We show that the nonlinear stage of the dual-wavelength pumped modulation instability (MI) in nonlinear Schrödinger equation (NLSE) can be effectively analyzed by mode truncation methods. The resulting complicated heteroclinic structure of instability unveils all possible dynamic trajectories of nonlinear waves. Significantly, the latticed-Fermi-Pasta-Ulam recurrences on the modulated-wave background in NLSE are also investigated and their dynamic trajectories ran along the Hamiltonian contours of the heteroclinic structure. It is demonstrated that there is much richer dynamic behavior, in contrast to the nonlinear waves reported before. This novel nonlinear wave promises to inject new vitality into the study of MI.

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来源期刊

Chinese Physics B 物理-物理：综合

CiteScore

2.80

自引率

23.50%

发文量

15667

审稿时长

2.4 months

期刊介绍： Chinese Physics B is an international journal covering the latest developments and achievements in all branches of physics worldwide (with the exception of nuclear physics and physics of elementary particles and fields, which is covered by Chinese Physics C). It publishes original research papers and rapid communications reflecting creative and innovative achievements across the field of physics, as well as review articles covering important accomplishments in the frontiers of physics. Subject coverage includes: Condensed matter physics and the physics of materials Atomic, molecular and optical physics Statistical, nonlinear and soft matter physics Plasma physics Interdisciplinary physics.