Abundant multilayer network model solutions and bright-dark solitons for a (3+1)-dimensional p-gBLMP equation

被引：15

作者：

Gai, Litao ^{[1
]}

Ma, Wen-Xiu ^{[1
,2
,3
,4
,5
]}

Sudao, Bilige ^{[6
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[3] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

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

[5] North West Univ, Sch Math & Stat Sci, Mafikeng Campus,Private Bag X2046, ZA-2735 Mmabatho, South Africa

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

来源：

NONLINEAR DYNAMICS | 2021年 / 106卷 / 01期

关键词：

Multilayer neural network model; (3+1)-dimensional; Generalized bilinear form; LUMP SOLUTIONS;

D O I：

10.1007/s11071-021-06864-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper aims to present a multilayer neural network model for a (3 + 1)-dimensional p-gBLMP equation. The generalized bilinear p-gBLMP equation is constructed, on the basis of the generalized bilinear operators. Through selecting different values in each layer, novel types of tensor functions can be furnished. We set the hidden neurons to some specific functions in some cases, and compute four types of new exact network model solutions for the p-gBLMP equation. The novelty and advantage of the proposed model are illustrated by applying to this model. Some plots of those presented new solutions are made to exhibit wave characteristics.

引用

页码：867 / 877

页数：11

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