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Bäcklund transformation and some different types of N‐soliton solutions to the (3 + 1)‐dimensional generalized nonlinear evolution equation for the shallow‐water waves
Author(s) -
Han PengFei,
Bao Taogetusang
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7490
Subject(s) - mathematics , bilinear interpolation , transformation (genetics) , nonlinear system , soliton , symbolic computation , bilinear form , computation , mathematical analysis , type (biology) , order (exchange) , physics , ecology , biochemistry , statistics , chemistry , finance , algorithm , quantum mechanics , biology , economics , gene
The (3 + 1)‐dimensional generalized nonlinear evolution equation is investigated based on the Hirota bilinear method. N‐soliton solutions, bilinear Bäcklund transformation, high‐order lump solutions, and the interaction phenomenon of high‐order lump solutions for this equation are obtained with the help of symbolic computation. Besides, some different types of periodic soliton solutions are studied. Analysis and graphical simulation are presented to show the dynamical characteristics of some different types of N‐soliton solutions are revealed. Many dynamic models can be simulated by nonlinear evolution equations, and these graphical analyses are helpful to understand these models. Compared with the published studied, some completely new results are presented in this paper.