New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation
Based on the extended homogeneous balance method, the auto-Ba¨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 wat...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/8409615 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832557042325258240 |
|---|---|
| author | Cheng Chen Zuolei Wang |
| author_facet | Cheng Chen Zuolei Wang |
| author_sort | Cheng Chen |
| collection | DOAJ |
| description | Based on the extended homogeneous balance method, the auto-Ba¨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. |
| format | Article |
| id | doaj-art-9c8e577a3dd743f480d7e66ad9eec16e |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9c8e577a3dd743f480d7e66ad9eec16e2025-02-03T05:43:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/84096158409615New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave EquationCheng Chen0Zuolei Wang1School of Science, Xi’an University of Posts and Telecommunications, Xi’an, Shaanxi 710121, ChinaSchool of Mathematics and Statistics, Yancheng Teachers University, Jiangsu 224002, ChinaBased on the extended homogeneous balance method, the auto-Ba¨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.http://dx.doi.org/10.1155/2021/8409615 |
| spellingShingle | Cheng Chen Zuolei Wang New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation Advances in Mathematical Physics |
| title | New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation |
| title_full | New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation |
| title_fullStr | New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation |
| title_full_unstemmed | New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation |
| title_short | New Exact Solutions, Dynamical and Chaotic Behaviors for the Fourth-Order Nonlinear Generalized Boussinesq Water Wave Equation |
| title_sort | new exact solutions dynamical and chaotic behaviors for the fourth order nonlinear generalized boussinesq water wave equation |
| url | http://dx.doi.org/10.1155/2021/8409615 |
| work_keys_str_mv | AT chengchen newexactsolutionsdynamicalandchaoticbehaviorsforthefourthordernonlineargeneralizedboussinesqwaterwaveequation AT zuoleiwang newexactsolutionsdynamicalandchaoticbehaviorsforthefourthordernonlineargeneralizedboussinesqwaterwaveequation |