New exact solutions, dynamical and chaotic behaviors for the fourth-order nonlinear generalized Boussinesq water wave equation
type: Item
instance of: scholarly article
title: New exact solutions, dynamical and chaotic behaviors for the fourth-order nonlinear generalized Boussinesq water wave equation
zbMATH Open document ID: 1493.35075
DOI: 10.1155/2021/8409615
author: Cheng Chen
author: Zuolei Wang
published in: Advances in Mathematical Physics
publication date: 2021-11-25T00:00:00Z
review text: Summary: Based on the extended homogeneous balance method, the auto-Bäcklund transformation transformation is constructed and some new explicit and exact solutions are given for the fourth-order nonlinear generalized Boussinesq water wave equation. Then, the fourth-order nonlinear generalized Boussinesq water wave equation is transformed into the planer dynamical system under traveling wave transformation. We also investigate the dynamical behaviors and chaotic behaviors of the considered equation. Finally, the numerical simulations show that the change of the physical parameters will affect the dynamic behaviors of the system.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 37K35
zbMATH DE Number: 7433513
zbMATH Keywords: Boussinesq water wave equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/8409615
OpenAlex ID: W3204647044
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description: scientific article; zbMATH DE number 7433513