Three types of periodic solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method

Ji‐Mei Qiao; Run‐Fa Zhang; Rong‐Xian Yue; Hadi Rezazadeh; Aly R. Seadawy

doi:10.1002/mma.8131

Back

Three types of periodic solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method

Journal article

Peer reviewed

Three types of periodic solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method

Ji‐Mei Qiao, Run‐Fa Zhang, Rong‐Xian Yue, Hadi Rezazadeh and Aly R. Seadawy

Mathematical methods in the applied sciences, Vol.45(9), pp.5612-5621

06/2022

DOI: https://doi.org/10.1002/mma.8131

Abstract

bilinear neural network framework

new (3 + 1)‐dimensional BLMP equation

periodic‐type solutions

In the paper, we search for some analytical solutions for a new (3 + 1)‐dimension Boiti–Leon–Manna–Pempinelli (BLMP) equation. Based on the Hirota bilinear method, bilinear neural network framework expands to more than one hidden layer to construct test functions. By using the symbolic computation software Maple, periodic‐type I, II, and III solutions of the new (3 + 1)‐dimension BLMP equation are obtained. Besides, the evolution and dynamical characteristics of these solutions derived via the appropriate real values are also exhibited.

Metrics

1 Record Views

Details

Title: Three types of periodic solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method
Creators - without role: Ji‐Mei Qiao - Shanghai Normal University
Run‐Fa Zhang - Dalian University of Technology
Rong‐Xian Yue - Shanghai Normal University
Hadi Rezazadeh - Amol University of Special Modern Technologies
Aly R. Seadawy - Taibah University
Publication Details: Mathematical methods in the applied sciences, Vol.45(9), pp.5612-5621
Number of pages: 10
Grant note: Shanghai Rising‐Star Program (20QA1407500) National Natural Science Foundation of China (11971318; 11871143; 12061054)
Identifiers: 9929416508331
Academic Unit: Taibah University
Language: English
Resource Type: Journal article