Integrability of a (2+1)-dimensional generalized breaking soliton equation
Integrability of a (2+1)-dimensional generalized breaking soliton equation
复制标题
DOI：
10.1016/j.aml.2015.05.015
复制
发表时间：
2015-12
期刊：
影响因子：
--
通讯作者：
Gui-qiong Xu
中科院分区：
文献类型：
--
作者：
Gui-qiong Xu
本文研究的是（2+ 1）维广义破裂孤子方程，它描述了沿着y轴传播的Riemann波与沿沿着x轴传播的长波的（2+ 1）维相互作用。进行了奇异性分析，它表明，这个广义方程承认Painlevé属性的一组参数的选择。利用二元Bell多项式导出了相应的Painlevé可积方程的一些可积性质，如双线性形式、N-孤子解、双线性Bäcklund变换、Lax对和无穷多守恒律.
Under investigation in this letter is a (2+ 1)-dimensional generalized breaking soliton equation, which describes the (2+ 1)-dimensional interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis. A singularity analysis is carried out and it is shown that this generalized equation admits the Painlevé property for one set of parametric choices. Some integrable properties of the corresponding Painlevé integrable equation, such as its bilinear form, N-soliton solution, bilinear Bäcklund transformation, Lax pair and infinite conservation laws are derived with the binary Bell polynomials.