Dynamical Analysis and Exact Solutions of a New (2+1)-Dimensional Generalized Boussinesq Model Equation for Nonlinear Rossby Waves*

Autor:	Rui-Gang Zhang, Quan-Sheng Liu, Zai-Yun Zhang, Chuang-Xia Huang
Rok vydání:	2019
Předmět:	Physics Nonlinear system Model equation Physics and Astronomy (miscellaneous) Dynamical systems theory Differential equation One-dimensional space Mathematical analysis Rossby wave Perturbation theory Bifurcation
Zdroj:	Communications in Theoretical Physics. 71:1054
ISSN:	1572-9494 0253-6102
DOI:	10.1088/0253-6102/71/9/1054
Popis:	In this paper, we study the higher dimensional nonlinear Rossby waves under the generalized beta effect. Using methods of the multiple scales and weak nonlinear perturbation expansions [Q. S. Liu, et al., Phys. Lett. A 383 (2019) 514], we derive a new (2+1)-dimensional generalized Boussinesq equation from the barotropic potential vorticity equation. Based on bifurcation theory of planar dynamical systems and the qualitative theory of ordinary differential equations, the dynamical analysis and exact traveling wave solutions of the new generalized Boussinesq equation are obtained. Moreover, we provide the numerical simulations of these exact solutions under some conditions of all parameters. The numerical results show that these traveling wave solutions are all the Rossby solitary waves.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6006c38cdc998ea6a21b0f42cdc7dcd6 https://doi.org/10.1088/0253-6102/71/9/1054 Zobrazit plný text záznamu