Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes
Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes
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DOI：
10.1016/j.amc.2006.04.002
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发表时间：
2006-11
期刊：
影响因子：
--
通讯作者：
A. Wazwaz
中科院分区：
文献类型：
--
作者：
A. Wazwaz
本文研究了一类具有不同参数的Camassa-Holm方程。形式化地导出了包括尖峰、扭结、紧致、孤立波解和平面周期解在内的新的孤立波解。为了实现我们的目标，采用了主要依赖于双曲函数的新方案。这项工作突出了所获得的解的物理结构的质变。
In this paper, a family of Camassa–Holm equations with distinct parameters is investigated. New solitary wave solutions that include peakons, kinks, compactons, solitary patterns solutions, and plane periodic solutions are formally derived. New schemes that rest mainly on hyperbolic functions are employed to achieve our goal. The work highlights the qualitative change in the physical structures of the obtained solutions.