On a new semi-discrete integrable combination of Burgers and Sharma-Tasso-Olver equation.
On a new semi-discrete integrable combination of Burgers and Sharma-Tasso-Olver equation.
复制标题
DOI：
10.1063/1.4975123
复制
发表时间：
2017-02
期刊：
影响因子：
2.9
通讯作者：
Hai-qiong Zhao
中科院分区：
文献类型：
--
作者：
Hai-qiong Zhao
In this paper, a new semi-discrete integrable combination of Burgers and Sharma-Tasso-Olver equation is investigated. The underlying integrable structures like the Lax pair, the infinite number of conservation laws, the Darboux-Bäcklund transformation, and the solutions are presented in the explicit form. The theory of the semi-discrete equation including integrable properties yields the corresponding theory of the continuous counterpart in the continuous limit. Finally, numerical experiments are provided to demonstrate the effectiveness of the developed integrable semi-discretization algorithms.
