Diversity of interaction phenomenon, cross-kink wave, and the bright-dark solitons for the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation

被引：1

作者：

Li, MeiYu ^{[1
]}

Bilige, Sudao ^{[1
]}

Zhang, Run-Fa ^{[2
]}

Han, Lihui ^{[1
]}

机构：

[1] Inner Mongolia Univ Technol, Dept Math, Hohhot 010051, Peoples R China

[2] Dalian Univ Technol, Sch Software Technol, Dalian 116620, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2022年 / 23卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

bright-dark solitons; cross-kink wave; generalized bilinear form; interaction wave; KPB-like equation; LUMP SOLUTIONS; ROGUE WAVE; RATIONAL SOLUTIONS; BACKLUND TRANSFORMATION; SOLITARY WAVES; DYNAMICS;

D O I：

10.1515/ijnsns-2019-0286

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The (3 + 1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation has certain advantages in solving engineering problems. In this paper, based on the generalized bilinear form, we successfully derived the diversity of exact solutions under certain constraints by using the symbolic computation Maple. These solutions have interaction wave solitons, cross-kink wave solitons, and bright-dark solitons. To ensure the accuracy of these solutions, we made a special selection of the parameters involved and made a three-dimensional graph, density graph, and contour graph to illustrate the dynamics of the solutions. The resulting solutions can be used for the study of certain phenomena in physics.

引用

页码：623 / 634

页数：12

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