本文主要研究内容
作者赵启亮,贾曼,楼森岳（2019）在《Fifth-Order Alice-Bob Systems and Their Abundant Periodic and Solitary Wave Solutions》一文中研究指出：The study on the nonlocal systems is one of the hot topics in nonlinear science. In this paper, the well-known fifth-order integrable systems including the Sawada-Kotera(SK) equation, the Kaup-Kupershmidt(KK) equation and the fifth-order Koterweg-de Vrise(FOKd V) equation are extended to a generalized two-place nonlocal form, the generalised fifth-order Alice-Bob system. The Lax integrability of two sets of Alice-Bob systems for all the SK, KK and FOKd V type systems are explicitly given via matrix Lax pairs. The ■ symmetry breaking and symmetry invariant periodic and solitary waves for one set of nonlocal SK, KK and FOKd V system are investigated via a special travelling wave solution ansatz.
Abstract
The study on the nonlocal systems is one of the hot topics in nonlinear science. In this paper, the well-known fifth-order integrable systems including the Sawada-Kotera(SK) equation, the Kaup-Kupershmidt(KK) equation and the fifth-order Koterweg-de Vrise(FOKd V) equation are extended to a generalized two-place nonlocal form, the generalised fifth-order Alice-Bob system. The Lax integrability of two sets of Alice-Bob systems for all the SK, KK and FOKd V type systems are explicitly given via matrix Lax pairs. The ■ symmetry breaking and symmetry invariant periodic and solitary waves for one set of nonlocal SK, KK and FOKd V system are investigated via a special travelling wave solution ansatz.
论文参考文献
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论文详细介绍
论文作者分别是来自Communications in Theoretical Physics的赵启亮,贾曼,楼森岳，发表于刊物Communications in Theoretical Physics2019年10期论文，是一篇关于,Communications in Theoretical Physics2019年10期论文的文章。本文可供学术参考使用，各位学者可以免费参考阅读下载，文章观点不代表本站观点，资料来自Communications in Theoretical Physics2019年10期论文网站，若本站收录的文献无意侵犯了您的著作版权，请联系我们删除。
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赵启亮：Fifth-Order Alice-Bob Systems and Their Abundant Periodic and Solitary Wave Solutions论文
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