New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation-Reference-Cited by-同舟云学术

New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation

Published:2021-09-23 Issue: Volume:2021 Page:1-13
ISSN:1687-9139
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Chen Cheng¹^ORCID,Wang Zuolei²^ORCID

Affiliation:

1. School of Science, Xi’an University of Posts and Telecommunications, Xi’an, Shaanxi 710121, China

2. School of Mathematics and Statistics, Yancheng Teachers University, Jiangsu 224002, China

Abstract

Based on the extended homogeneous balance method, the auto-B

\ddot{a}

cklund 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.

Funder

Natural Science Foundation of Shaanxi Province

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2021/8409615.pdf

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