N-Soliton, Hth-Order Breather, Hybrid and Multi-Pole Solutions for a Variable-Coefficient Extended Korteweg-de Vries Equation with an External Force in Fluid Mechanics and Plasma Dynamics

被引：0

作者：

Liu, Hao-Dong ^{[1
,2
]}

Tian, Bo ^{[1
,2
]}

Cheng, Chong-Dong ^{[1
,2
]}

Zhou, Tian-Yu ^{[1
,2
]}

Gao, Xiao-Tian ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, Minist Educ, State Key Lab Informat Photon & Opt Commun, Key Lab Math & Informat Networks, Beijing 100876, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2025年 / 24卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fluid mechanics; Plasma dynamics; Variable-coefficient extended Korteweg-de Vries equation with an external force; N-soliton solutions; Hth-order breather solutions; Hybrid solutions; Multi-pole solutions; MKDV EQUATION; TRANSFORMATION; STABILITY; WAVES;

D O I：

10.1007/s12346-025-01240-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a variable-coefficient extended Korteweg-de Vries equation with an external force in fluid mechanics and plasma dynamics. Through the Hirota method, we work out the N-soliton solutions under some variable-coefficient constraints, where N is the positive integer. Based on the N-soliton solutions, Hth-order breather, hybrid and multi-pole solutions are derived, where H is another positive integer. Effects of the variable coefficients on those nonlinear waves are discussed graphically. We find that the variable coefficients lead to the emergence of some types of the nonlinear waves, that the external force affects the velocities and backgrounds of those nonlinear waves, and that the dispersive and dissipative coefficients affect the characteristic lines and velocities of those nonlinear waves.

引用

页数：19

共 70 条

[1] On a modified Korteweg-de Vries equation for electrostatic structures in relativistic degenerate electron-positron plasma [J].