A nonlocal Boussinesq equation: Multiple-soliton solutions and symmetry analysis

被引：9

作者：

Liu, Xi-zhong ^{[1
]}

Yu, Jun ^{[1
]}

机构：

[1] Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China

来源：

CHINESE PHYSICS B | 2022年 / 31卷 / 05期

基金：

中国国家自然科学基金;

关键词：

nonlocal Boussinesq equation; N-soliton solution; periodic waves; symmetry reduction solutions; SHIFTED PARITY; KDV EQUATION; WAVES;

D O I：

10.1088/1674-1056/ac43a7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A nonlocal Boussinesq equation is deduced from the local one by using consistent correlated bang method. To study various exact solutions of the nonlocal Boussinesq equation, it is converted into two local equations which contain the local Boussinesq equation. From the N-soliton solutions of the local Boussinesq equation, the N-soliton solutions of the nonlocal Boussinesq equation are obtained, among which the (N = 2,3,4)-soliton solutions are analyzed with graphs. Some periodic and traveling solutions of the nonlocal Boussinesq equation are derived directly from the known solutions of the local Boussinesq equation. Symmetry reduction solutions of the nonlocal Boussinesq equation are also obtained by using the classical Lie symmetry method.

引用

页数：5

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