Noncommutative versions of the KP and modified KP equations with self-consistent sources

被引:0
|
作者
Kashif, Muhammad [1 ]
Li, Chunxia [1 ]
Cui, Mengyuan [1 ]
机构
[1] School of Mathematical Sciences, Capital Normal University, Beijing,100048, China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.physleta.2024.129927
中图分类号
学科分类号
摘要
The noncommutative KP equation with self-consistent sources (nc KPESCS) and the noncommutative modified KP equation with self-consistent sources (nc mKPESCS) are proposed and solved. Two types of quasideterminant solutions are presented and proved by general derivative formulae for each of them, respectively. Furthermore, Miura transformation is established between the nc KPESCS and the nc mKPESCS. As a byproduct, a useful quasideterminant identity is developed. © 2024 Elsevier B.V.
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