Solutions of a three-component modified Kadomtsev–Petviashvili equation: Solutions of a three-component

Solutions of a three-component modified Kadomtsev–Petviashvili equation: Solutions of a three-component

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 1 ( x , y , t ) and v 2 ( x , y , t ) . The structures of one soliton, Y-type, O-type and P-type solitons are mai...

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Veröffentlicht in:Nonlinear dynamics 2025, Vol.113 (4), p.3637-3654
Hauptverfasser: Sun, Lin, Li, Chuanzhong, Yuan, Chunxin, Liu, Wei
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Nonlinear Dynamics and Chaos Theory
Classical Mechanics
Control
Dynamical Systems
Physics
Physics and Astronomy
Statistical Physics and Dynamical Systems
Vibration
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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 v 0 ( x , y , t ) , v 1 ( x , y , t ) and 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 , and there are bright solitons and dark solitons in v 1 and v 2 . 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