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

共 22 条

[1] Solitons and periodic waves for the (2+1)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics [J].

Deng, Gao-Fu ;

Gao, Yi-Tian ;

Su, Jing-Jing ;

Ding, Cui-Cui ;

Jia, Ting-Ting .

NONLINEAR DYNAMICS, 2020, 99 (02) :1039-1052

[2]

Gai LT, 2020, NONLINEAR DYNAM, V100, P2715, DOI 10.1007/s11071-020-05554-1

[3] Lump-type solutions, rogue wave type solutions and periodic lump-stripe interaction phenomena to a (3+1)-dimensional generalized breaking soliton equation [J].

Gai, Litao ;

Ma, Wen-Xiu ;

Li, Mingchu .

PHYSICS LETTERS A, 2020, 384 (08)

[4] An efficient analysis for N-soliton, Lump and lump-kink solutions of time-fractional (2+1)-Kadomtsev-Petviashvili equation [J].

Hamid, Muhammad ;

Usman, Muhammad ;

Zubair, Tamour ;

Ul Haq, Rizwan ;

Shafee, Ahmad .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 528

[5]

He CH, 2019, NONLINEAR DYNAM, V95, P29, DOI 10.1007/s11071-018-4548-8

[6] Two different systematic techniques to find analytical solutions of the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation [J].

Kaplan, Melike .

CHINESE JOURNAL OF PHYSICS, 2018, 56 (05) :2523-2530

[7] Auto-Backlund transformations and solitary wave solutions for the nonlinear evolution equation [J].

Kaplan, Melike ;

Ozer, Mehmet Naci .

OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)

[8] Multiple-soliton solutions and analytical solutions to a nonlinear evolution equation [J].

Kaplan, Melike ;

Ozer, Mehmet Naci .

OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)

[9] The Auto-Backlund transformations for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation [J].

Kaplan, Melike ;

Akbulut, Arzu ;

Bekir, Ahmet .

ICNPAA 2016 WORLD CONGRESS: 11TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES, 2017, 1798

[10] Resonant multi-soliton solutions to new (3+1)-dimensional Jimbo-Miwa equations by applying the linear superposition principle [J].

Kuo, Chun-Ku ;

Ghanbari, Behzad .

NONLINEAR DYNAMICS, 2019, 96 (01) :459-464

← 1 2 3 →