Riemann–Hilbert problems andN-soliton solutions for a coupled mKdV system
Riemann–Hilbert problems andN-soliton solutions for a coupled mKdV system
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DOI：
10.1016/j.geomphys.2018.05.024
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发表时间：
2018-10
影响因子：
1.5
通讯作者：
W. Ma
中科院分区：
文献类型：
--
作者：
W. Ma
引入了一个3× 3矩阵谱问题，生成了相应的四分量AKNS可积族.从这个谱问题出发，在所得到的AKNS可积族中，对一个耦合mKdV方程组给出了一类Riemann-Hilbert问题。通过一个具有单位跳变矩阵的Riemann-Hilbert问题，给出了耦合mKdV系统的N孤子解.
A 3× 3 matrix spectral problem is introduced and its associated AKNS integrable hierarchy with four components is generated. From this spectral problem, a kind of Riemann–Hilbert problems is formulated for a system of coupled mKdV equations in the resulting AKNS integrable hierarchy. N-soliton solutions to the coupled mKdV system are presented through a specific Riemann–Hilbert problem with an identity jump matrix.