Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution
Joint Authors
Shi, Yunlong
Yang, Dezhou
Xu, Zhenhua
Yang, Hongwei
Yin, Baoshu
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-19
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We solve the so-called dissipative nonlinear Schrödinger equation by means of multiple scales analysis and perturbation method to describe envelope solitary Rossby waves with dissipation effect in stratified fluids.
By analyzing the evolution of amplitude of envelope solitary Rossby waves, it is found that the shear of basic flow, Brunt-Vaisala frequency, and β effect are important factors to form the envelope solitary Rossby waves.
By employing trial function method, the asymptotic solution of dissipative nonlinear Schrödinger equation is derived.
Based on the solution, the effect of dissipation on the evolution of envelope solitary Rossby wave is also discussed.
The results show that the dissipation causes a slow decrease of amplitude of envelope solitary Rossby waves and a slow increase of width, while it has no effect on the propagation velocity.
That is quite different from the KdV-type solitary waves.
It is notable that dissipation has certain influence on the carrier frequency.
American Psychological Association (APA)
Shi, Yunlong& Yin, Baoshu& Yang, Hongwei& Yang, Dezhou& Xu, Zhenhua. 2014. Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033906
Modern Language Association (MLA)
Shi, Yunlong…[et al.]. Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1033906
American Medical Association (AMA)
Shi, Yunlong& Yin, Baoshu& Yang, Hongwei& Yang, Dezhou& Xu, Zhenhua. Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1033906
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033906