The soliton solutions and combined solutions of a high-dimensional wave soliton equation

被引：1

作者：

Wang, Shaofu ^{[1
]}

机构：

[1] Guangxi Med Univ, Sch Informat & Management, Nanning 530021, Peoples R China

来源：

PHYSICA SCRIPTA | 2022年 / 97卷 / 12期

关键词：

wave soliton equation; soliton solution; combined soliton solution; hirota bilinear method; bilinear backlund transformation;

D O I：

10.1088/1402-4896/aca055

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a high-dimensional wave soliton equation is considered and the simple Hirota method and bilinear backlund transformation are applied to construct the new soliton solutions, lump soliton solutions, breather solutions and their combined solutions. Then, through long-wave limit method and appropriate parameter constraints, one-soliton, one-breather, combined soliton-lump and lump-breather and soliton-breather solutions to nonlinear wave equation are obtained. Moreover, the physical interaction and frontal collision phenomena to the solutions of this equation are explored. In addition, a kind of hyperbolic and trigonometric ansatz is employed to derive other solutions such as kink soliton solution, periodic solutions for the high-dimensional wave equation.The obtained results verify the proposed solutions.

引用

页数：8

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