New interaction solutions of the KdV-Sawada-Kotera-Ramani equation in various dimensions

被引：4

作者：

Chen, Wenxia ^{[1
]}

Tang, Liangping ^{[1
]}

Tian, Lixin ^{[1
]}

机构：

[1] Jiangsu Univ, Fac Sci, Nonlinear Sci Res Ctr, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

PHYSICA SCRIPTA | 2023年 / 98卷 / 05期

基金：

中国国家自然科学基金;

关键词：

KdV-Sawada-Kotera-Ramani equation; Hirota's bilinear method; interaction solutions; INVERSE SCATTERING TRANSFORM; PERIODIC-WAVE SOLUTIONS;

D O I：

10.1088/1402-4896/acc141

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the KdV-Sawada-Kotera-Ramani(KdVSKR) equation in various dimensions are studied. The bilinear form of the (1+1)-dimensional and (2+1)-dimensional KdVSKR equation are obtained by the independent transformation. Based on the Hirota bilinear method, we constructed new interaction solutions by studying the unknown nonlinear differential equations for the corresponding parameters. Three dimensional plots, density plots and contour plots provide us with a better understanding of visualizing the dynamic behavior of solutions.

引用

页数：11

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