A kind of new algebraic Rossby solitary waves generated by periodic external source

In the article, by employing multiple-scale, perturbation method, a new model is derived to describe the algebraic Rossby solitary waves generated by periodic external source in stratified fluid. The local conservation laws and analytic solutions of the model are obtained, and the breakup properties...

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Bibliographic Details
Published in:Nonlinear dynamics 2014-05, Vol.76 (3), p.1725-1735
Main Authors: Yang, Hong Wei, Wang, Xiang Rong, Yin, Bao Shu
Format: Article
Language:English
Subjects:
Algebra
Automotive Engineering
Breakup
Classical Mechanics
Computational fluid dynamics
Computer simulation
Conservation laws
Control
Dynamical Systems
Engineering
Evolution
Exact solutions
Mathematical models
Mechanical Engineering
Ocean currents
Original Paper
Periodic variations
Perturbation methods
Plasma
Solitary waves
Vibration
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Summary:In the article, by employing multiple-scale, perturbation method, a new model is derived to describe the algebraic Rossby solitary waves generated by periodic external source in stratified fluid. The local conservation laws and analytic solutions of the model are obtained, and the breakup properties are discussed. By numeric simulation, some problems on the generation and evolution of the algebraic solitary waves under the influence of periodic external source are theoretically investigated. The results show that besides the solitary waves, an additional harmonic wave appears in the region of the external source forcing. Furthermore, the periodic variation of the external source forcing can prevent solitary waves from breaking. Meanwhile, the detuning parameter has an important effect on the breakup of the algebraic Rossby solitary waves.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-014-1241-4