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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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| Published in: | Nonlinear dynamics 2023-08, Vol.111 (16), p.15335-15346 |
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| Main Authors: | , , , |
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| Language: | English |
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| container_end_page | 15346 |
| container_issue | 16 |
| container_start_page | 15335 |
| container_title | Nonlinear dynamics |
| container_volume | 111 |
| creator | Gai, Litao Qian, Youhua Qin, Yupeng Zhang, Runfa |
| description | 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. |
| doi_str_mv | 10.1007/s11071-023-08628-y |
| format | article |
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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
¯
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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
¯
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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
¯
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| fulltext | fulltext |
| identifier | ISSN: 0924-090X |
| ispartof | Nonlinear dynamics, 2023-08, Vol.111 (16), p.15335-15346 |
| issn | 0924-090X 1573-269X |
| language | eng |
| recordid | cdi_proquest_journals_2841207742 |
| source | Springer Link |
| 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 |
| title | Periodic bright–dark soliton, breather-like wave and rogue wave solutions to a p¯-GBS equation in (3+1)-dimensions |
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