Solutions of a three-component modified Kadomtsev–Petviashvili equation

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发表日期：

2024年10月17日

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Lin Sun,
Chuanzhong Li,
Chunxin Yuan,
Wei Liu

摘要

In this paper, we mainly study the solutions of a three-component modified Kadomtsev–Petviashvili (mKP) equation on Grassmannian Gr(N,M). Its solutions are given by $v_{0}(x,y,t)$ $v_{0} (x, y, t)$ , $v_{1}(x,y,t)$ $v_{1} (x, y, t)$ and $v_{2}(x,y,t)$ $v_{2} (x, y, t)$ . The structures of one soliton, Y-type, O-type and P-type solitons are mainly studied. After drawing analysis, it is found that there are only bright solitons in $v_{0}$ $v_{0}$ , and there are bright solitons and dark solitons in $v_{1}$ $v_{1}$ and $v_{2}$ $v_{2}$ . Then we discuss the reason why the kink solution and the table solution appear in the three-component modified Kadomtsev–Petviashvili equation.