Periodic bright–dark soliton, breather-like wave and rogue wave solutions to a p¯-GBS equation in (3+1)-dimensions

This paper aims to present a trilinear neural network method on the basis of the trilinear form of a (3+1)-dimensional p ¯ -GBS equation. This method can be used to construct new exact traveling wave solutions. We set the hidden neurons in three types of tensor functions to some specific functions,...

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Bibliographic Details
Published in:Nonlinear dynamics 2023-08, Vol.111 (16), p.15335-15346
Main Authors: Gai, Litao, Qian, Youhua, Qin, Yupeng, Zhang, Runfa
Format: Article
Language:English
Subjects:
Automotive Engineering
Breathers
Classical Mechanics
Control
Dynamic characteristics
Dynamical Systems
Engineering
Mechanical Engineering
Neural networks
Nonlinear equations
Original Paper
Propagation
Solitary waves
Tensors
Traveling waves
Vibration
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Summary:This paper aims to present a trilinear neural network method on the basis of the trilinear form of a (3+1)-dimensional p ¯ -GBS equation. This method can be used to construct new exact traveling wave solutions. We set the hidden neurons in three types of tensor functions to some specific functions, and reach a class of periodic bright–dark soliton solutions, two types of breather-like wave solutions and three types of rogue wave solutions for p ¯ -GBS equation successfully. The 3-D and density graphs of those solutions obtained are given to interpret the dynamic characteristics.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-023-08628-y