Various solutions of the (2+1)-dimensional Hirota-Satsuma-Ito equation using the bilinear neural network method

被引：11

作者：

Zhu, Guangzheng ^{[1
]}

Wang, Hailing ^{[2
,3
]}

Mou, Zhen-ao ^{[4
]}

Lin, Yezhi ^{[4
,5
]}

机构：

[1] Guangxi Normal Univ, Sch Phys Sci & Technol, Guilin 541004, Peoples R China

[2] Guangxi Normal Univ, Sch Math & Stat, Guilin 541006, Peoples R China

[3] South China Univ Technol, Sch Math, Guangzhou 510640, Peoples R China

[4] Wenzhou Med Univ, Affiliated Hosp 1, Wenzhou 325000, Peoples R China

[5] Zhejiang Engn Res Ctr Hosp Emergency & Proc Digiti, Wenzhou 325000, Zhejiang, Peoples R China

来源：

CHINESE JOURNAL OF PHYSICS | 2023年 / 83卷

基金：

中国国家自然科学基金;

关键词：

Hirota bilinear form; Bilinear neural network method; D-operator; Hirota-Satsuma-Ito equation; SOLITON-SOLUTIONS; LUMP SOLUTIONS;

D O I：

10.1016/j.cjph.2023.03.016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Hirota-Satsuma-Ito equation is a well-known nonlinear partial differential equation in fluid mechanics. This paper deals with a (2+1)-dimensional Hirota-Satsuma-Ito equation through the bilinear neural network method. In the bilinear neural network method, a variety of neural network structures, including the single hidden layer and multi hidden layers neural network, are used to obtain the analytical solutions which are summarized to be of the following types: breathers, interaction of opposite waves, interaction of rogue wave and soliton, traveling waves and rogue waves. The feasibility and advantage of the proposed structures are illustrated by seeking these new solutions. Wave characteristics are exhibited by some plots of these obtained solutions.

引用

页码：292 / 305

页数：14

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