Lump and interaction solutions to the \((3+1)\)-dimensional variable-coefficient nonlinear wave equation with multidimensional binary Bell polynomials
type: Item
instance of: scholarly article
title: Lump and interaction solutions to the \((3+1)\)-dimensional variable-coefficient nonlinear wave equation with multidimensional binary Bell polynomials
zbMATH Open document ID: 1480.35095
DOI: 10.1155/2021/4550582
author: Fangyuan Zhou
author: Sutarto Sutarto
author: Mostafa Abotaleb
author: Xue-Jun Zhou
author: Onur Alp İlhan
author: Jalil Manafian
published in: Journal of Function Spaces
publication date: 2022-01-05T00:00:00Z
review text: Summary: In this paper, we study the \((3+1)\)-dimensional variable-coefficient nonlinear wave equation which is taken in soliton theory and generated by utilizing the Hirota bilinear technique. We obtain some new exact analytical solutions, containing interaction between a lump-two kink solitons, interaction between two lumps, and interaction between two lumps-soliton, lump-periodic, and lump-three kink solutions for the generalized \((3+1)\)-dimensional nonlinear wave equation in liquid with gas bubbles by the Maple symbolic package. Making use of Hirota's bilinear scheme, we obtain its general soliton solutions in terms of bilinear form equation to the considered model which can be obtained by multidimensional binary Bell polynomials. Furthermore, we analyze typical dynamics of the high-order soliton solutions to show the regularity of solutions and also illustrate their behavior graphically.
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35G25
zbMATH DE Number: 7452485
zbMATH Keywords: Hirota bilinear technique
zbMATH Keywords: lump-two kink solitons, lump-periodic solitons
zbMATH Keywords: lump-three kink solutions
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/4550582
OpenAlex ID: W4200137408
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description: scientific article; zbMATH DE number 7452485