Solutions of a three-component modified Kadomtsev–Petviashvili equation

Solutions of a three-component modified Kadomtsev–Petviashvili equation

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 v0(x,y,t), v1(x,y,t) and v2(x,y,t). The structures of one soliton, Y-type, O-type and P-type solitons are mainly studied. After drawing...

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Veröffentlicht in:Nonlinear dynamics 2024-10, Vol.113 (4), p.3637-3654
Hauptverfasser: Sun, Lin, Li, Chuanzhong, Yuan, Chunxin, Liu, Wei
Format: Artikel
Sprache:eng
Schlagworte:
Solitary waves
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Zusammenfassung: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 v0(x,y,t), v1(x,y,t) and v2(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 v0, and there are bright solitons and dark solitons in v1 and v2. Then we discuss the reason why the kink solution and the table solution appear in the three-component modified Kadomtsev–Petviashvili equation.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-024-10396-2