The Camassa–Holm–KP equations with compact and noncompact travelling wave solutions

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摘要

In this paper, two variants of Camassa–Holm–KP equations are investigated. Compactons: solitons with the absence of infinite tails, solitons: nonlinear localized waves of infinite support, solitary patterns having infinite slopes or cusps, and plane periodic solutions are formally derived. The work highlights the qualitative change in the physical structures of the obtained solutions.

论文关键词:Camassa–Holm–KP equation,Compactons,Solitons,Solitary patterns solutions,Periodic solutions,Sine–Cosine method,The tanh method

论文评审过程:Available online 28 January 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2004.12.002