跳动孤子的分类、其物理光谱和二阶非线性叠加。

IF 2.2 3区物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS

Physical Review E Pub Date : 2024-10-01 DOI:10.1103/PhysRevE.110.044210

Chong Liu, Wen-Juan Che, Nail Akhmediev

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引用次数: 0

摘要

我们获得了马纳科夫方程在聚焦和散焦两种情况下的全套多参数矢量跳动孤子解。在精确解的基础上，我们分析计算了跳动孤子的物理光谱。结果发现，相对于频率的符号变化，运动跳动孤子的光谱是不对称的。相比之下，静态跳动孤子的光谱是对称的。我们还研究了速度相等或不相等的二阶矢量跳动孤子解。数值模拟证实了我们的精确解的有效性。

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Classification of beating solitons, their physical spectra, and second-order nonlinear superpositions.

We obtained the full set of multiparameter vector beating soliton solutions for Manakov equations in both focusing and defocusing cases. Based on exact solutions, physical spectra of beating solitons are calculated analytically. It is found that the spectra of moving beating solitons are asymmetric relative to the sign change of the frequency. In contrast, the static beating solitons have symmetric spectra. We also study the second-order vector beating soliton solutions with either equal or unequal velocities. Numerical simulations confirmed the validity of our exact solutions.

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来源期刊

Physical Review E PHYSICS, FLUIDS & PLASMASPHYSICS, MATHEMAT-PHYSICS, MATHEMATICAL

CiteScore

4.50

自引率

16.70%

发文量

2110

期刊介绍： Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.