A three-component Camassa-Holm system with cubic nonlinearity and peakons
A three-component Camassa-Holm system with cubic nonlinearity and peakons
复制标题
DOI：
10.1080/14029251.2015.996446
复制
发表时间：
2013-08
影响因子：
0.7
通讯作者：
B. Xia;Ruguang Zhou;Z. Qiao
中科院分区：
文献类型：
--
作者：
B. Xia;Ruguang Zhou;Z. Qiao
本文提出了一个具有立方非线性和峰值孤子的三分量Camassa-Holm（3CH）系统。证明了3CH模型在Lax对、Hamilton结构和守恒律意义下是可积的。我们表明，该系统承认峰和多峰的解决方案。此外，我们还研究了3CH系统的约化，从而得到一个新的具有立方非线性项的可积扰动CH方程，使其具有峰子解。
In this paper, we propose a three-component Camassa-Holm (3CH) system with cubic nonlinearity and peaked solitons (peakons). The 3CH model is proven to be integrable in the sense of Lax pair, Hamiltonian structure, and conservation laws. We show that this system admits peakons and multi-peakon solutions. Additionally, reductions of the 3CH system are investigated so that a new integrable perturbed CH equation with cubic nonlinearity is generated to possess peakon solutions.