Nonlinear waves for a variable-coefficient modified Kadomtsev-Petviashvili system in plasma physics and electrodynamics  

作　　者：Guang-Mei Wei Yu-Xin Song Tian-Chi Xing Shu Miao 

机构地区：[1]School of Mathematical Sciences,Beihang University,100191 Beijing,China

出　　处：《Communications in Theoretical Physics》2025年第1期23-34,共12页理论物理通讯(英文版)

摘　　要：In this paper,a variable-coefficient modified Kadomtsev-Petviashvili(vcm KP)system is investigated by modeling the propagation of electromagnetic waves in an isotropic charge-free infinite ferromagnetic thin film and nonlinear waves in plasma physics and electrodynamics.Painlevéanalysis is given out,and an auto-B?cklund transformation is constructed via the truncated Painlevéexpansion.Based on the auto-B?cklund transformation,analytic solutions are given,including the solitonic,periodic and rational solutions.Using the Lie symmetry approach,infinitesimal generators and symmetry groups are presented.With the Lagrangian,the vcm KP equation is shown to be nonlinearly self-adjoint.Moreover,conservation laws for the vcm KP equation are derived by means of a general conservation theorem.Besides,the physical characteristics of the influences of the coefficient parameters on the solutions are discussed graphically.Those solutions have comprehensive implications for the propagation of solitary waves in nonuniform backgrounds.

关 键 词：modified Kadomtsev-Petviashvili equation Lie symmetry optimal system nonlinear self-adjointness conservation law symbolic computation 

分 类 号：O53[理学—等离子体物理] O442[理学—物理] O175.29