A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
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DOI：
10.1016/j.amc.2004.04.029
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发表时间：
2005-06
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
本文研究了一类广义Camassa-Holm方程的四阶非线性模拟。证明了这类系统给出了紧致孤子、常规孤子、孤立子和周期解。研究还发现，溶液物理结构的质变主要取决于波函数u(x，t)的正负指数，也取决于(Un)ξξ的系数。
In this paper we study a class of nonlinear fourth order analogue of a generalized Camassa–Holm equation. It is shown that this class gives compactons, conventional solitons, solitary patterns and periodic solutions. It is also found that the qualitative change in the physical structure of solutions depends mainly on the exponent of the wave function u(x,t), positive or negative, and on the coefficient of (un)ξξas well.