A study on soliton, lump solutions to a generalized (3+1)-dimensional Hirota-Satsuma-Ito equation

被引：0

作者：

Qi, Feng-Hua ^{[2
]}

Li, Zhen-Huan ^{[1
]}

Li, Shuang ^{[2
]}

Wang, Pan ^{[3
]}

机构：

[1] Beijing Wuzi Univ, Sch Informat, Beijing 101149, Peoples R China

[2] Beijing Wuzi Univ, Sch Informat, Beijing 101149, Peoples R China

[3] Beijing Sport Univ, Sports Business Sch, Beijing 100084, Peoples R China

来源：

OPEN PHYSICS | 2023年 / 21卷 / 01期

关键词：

Hirota bilinear; long wave limit; generalized (3+1)-dimensional Hirota-Satsuma-Ito equation; multiple lump solutions; PAINLEVE ANALYSIS; ROGUE WAVES; KP; TRANSFORMATION; BREATHERS;

D O I：

10.1515/phys-2023-0272

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article, through the Hirota bilinear method and long wave limit method, based on the N-solitons, we construct the multiple lump solutions of the generalized (3+1)-dimensional Hirota-Satsuma-Ito equation. Furthermore, to enhance our understanding of the solutions obtained, we further elucidate the physical implications of these solutions with three-dimensional and two-dimensional graphs. The solutions obtained might have practical applications in elucidating the dynamic behaviors of higher-dimensional systems, particularly in the study area of waves in shallow water and the study of nonlinear optics.

引用

页数：7

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