Plenty of wave solutions to the ill-posed Boussinesq dynamic wave equation under shallow water beneath gravity
Autor: | J. F. Alzaidi, Samir A. Salama, S. H. Alfalqi, Fuzhang Wang, Mostafa M. A. Khater |
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Jazyk: | angličtina |
Rok vydání: | 2022 |
Předmět: |
Well-posed problem
Gravity (chemistry) nonlinear soliton lattice wave solutions General Mathematics Simple equation Mathematical analysis Wave equation extended simple equation (ese) method Waves and shallow water Transformation (function) Hadamard transform ill-posed boussinesq dynamical wave QA1-939 Nonlinear evolution novel riccati expansion (nre) method Mathematics |
Zdroj: | AIMS Mathematics, Vol 7, Iss 1, Pp 54-81 (2022) |
ISSN: | 2473-6988 |
DOI: | 10.3934/math.2022004?viewType=HTML |
Popis: | This paper applies two computational techniques for constructing novel solitary wave solutions of the ill-posed Boussinesq dynamic wave (IPB) equation. Jacques Hadamard has formulated this model for studying the dynamic behavior of waves in shallow water under gravity. Extended simple equation (ESE) method and novel Riccati expansion (NRE) method have been applied to the investigated model's converted nonlinear ordinary differential equation through the wave transformation. As a result of this research, many solitary wave solutions have been obtained and represented in different figures in two-dimensional, three-dimensional, and density plots. The explanation of the methods used shows their dynamics and effectiveness in dealing with certain nonlinear evolution equations. |
Databáze: | OpenAIRE |
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