N-soliton solutions for the coupled extended modified KdV equations via Riemann–Hilbert approach
N-soliton solutions for the coupled extended modified KdV equations via Riemann–Hilbert approach
复制标题
通过 Riemann-Hilbert 方法耦合扩展修正 KdV 方程的 N 孤子解
DOI：
10.1016/j.aml.2022.108390
复制
发表时间：
2022
影响因子：
3.7
通讯作者：
Lin Huang
中科院分区：
文献类型：
--
作者：
Fan Wu;Lin Huang
本文利用Riemann-Hilbert方法构造了具有零边界条件的耦合扩展修正KdV方程的N-孤子解。首先，我们建立了耦合扩展修正KdV方程的解与Riemann-Hilbert问题之间的关系。其次，通过求解具有单位跳变矩阵的特殊Riemann-Hilbert问题，得到了耦合扩展修正KdV方程的一般N孤子解。此外，通过适当选择参数，用图形的方法给出了N孤子解的局部结构。
In this paper, we utilize the Riemann-Hilbert method to construct the N-soliton solutions for the coupled extended modified KdV equations with zero boundary condition. Firstly, we establish the relationship between the solutions of the coupled extended modified KdV equations and a Riemann-Hilbert problem. Secondly, by solving the particular Riemann-Hilbert problem with an identity jump matrix, the general N-soliton solutions of the coupled extended modified KdV equations are derived. In addition, the local structures of the N-soliton solution are graphically presented by choosing parameters suitably.