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Abundant Traveling Wave Structures of (1+1)-Dimensional Sawada-Kotera Equation: Few Cycle Solitons and Soliton Molecules
Chinese Physics Letters ( IF 3.5 ) Pub Date : 2020-10-14 , DOI: 10.1088/0256-307x/37/10/100501
Wei Wang 1, 2 , Ruoxia Yao 1 , Senyue Lou 3
Affiliation  

Traveling wave solutions have been well studied for various nonlinear systems. However, for high order nonlinear physical models, there still exist various open problems. Here, travelling wave solutions to the well-known fifth-order nonlinear physical model, the Sawada–Kotera equation, are revisited. Abundant travelling wave structures including soliton molecules, soliton lattice, kink-antikink molecules, peak-plateau soliton molecules, few-cycle-pulse solitons, double-peaked and triple-peaked solitons are unearthed.

中文翻译:

(1 + 1)维Sawada-Kotera方程的丰富行波结构:几个孤子和孤子分子

对于各种非线性系统,已经对行波解进行了深入研究。但是,对于高阶非线性物理模型,仍然存在各种开放问题。在这里,重新讨论了著名的五阶非线性物理模型Sawada-Kotera方程的行波解。出土了丰富的行波结构,包括孤子分子,孤子晶格,扭折-抗扭结分子,峰高原孤子分子,少周期脉冲孤子,双峰和三峰孤子。
更新日期:2020-10-16
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