$$\varvec{(2+1)}$$ ( 2 + 1 ) -Dimensional nonlinear Rossby solitary waves under the effects of generalized beta and slowly varying topography

2017 ◽  
Vol 90 (2) ◽  
pp. 815-822 ◽  
Author(s):  
Ruigang Zhang ◽  
Liangui Yang ◽  
Jian Song ◽  
Quansheng Liu
Keyword(s):  
Solitary Waves ◽  
Rossby Solitary Waves

Rossby solitary waves excited by the unstable topography in weak shear flow

2017 ◽  
Vol 90 (2) ◽  
pp. 889-897 ◽  
Author(s):  
Bao-Jun Zhao ◽  
Ru-Yun Wang ◽  
Qing Fang ◽  
Wen-Jin Sun ◽  
Tian-Ming Zhan
Keyword(s):  
Shear Flow ◽  
Solitary Waves ◽  
Rossby Solitary Waves

scholarly journals (2 + 1)-Dimensional Coupled Model for Envelope Rossby Solitary Waves and Its Solutions as well as Chirp Effect

2017 ◽  
Vol 2017 ◽  
pp. 1-12
Author(s):  
Xin Chen ◽  
Hongwei Yang ◽  
Min Guo ◽  
Baoshu Yin
Keyword(s):  
Solitary Waves ◽  
Rossby Waves ◽  
Modulation Instability ◽  
Multiple Scales ◽  
Coupled Model ◽  
Nls Equation ◽  
Coupled Models ◽  
Trial Function Method ◽  
Rossby Solitary Waves ◽  
Stable Feature

Using the method of multiple scales and perturbation method, a set of coupled models describing the envelope Rossby solitary waves in (2+1)-dimensional condition are obtained, also can be called coupled NLS (CNLS) equations. Following this, based on trial function method, the solutions of the NLS equation are deduced. Moreover, the modulation instability of coupled envelope Rossby waves is studied. We can find that the stable feature of coupled envelope Rossby waves is decided by the value of S. Finally, learning from the concept of chirp in the optical soliton communication field, we study the chirp effect caused by nonlinearity and dispersion in the propagation of Rossby waves.

scholarly journals Rossby Solitary Waves Generated by Wavy Bottom in Stratified Fluids

2013 ◽  
Vol 5 ◽  
pp. 289269 ◽  
Author(s):  
Hongwei Yang ◽  
Baoshu Yin ◽  
Bo Zhong ◽  
Huanhe Dong
Keyword(s):  
Solitary Waves ◽  
Stratified Fluids ◽  
Rossby Solitary Waves

scholarly journals A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Hongwei Yang ◽  
Qingfeng Zhao ◽  
Baoshu Yin ◽  
Huanhe Dong
Keyword(s):  
Differential Equation ◽  
Solitary Waves ◽  
Numerical Solutions ◽  
Kdv Equation ◽  
Pseudospectral Method ◽  
Multiple Scale ◽  
Integro Differential Equation ◽  
Topography Effect ◽  
Detuning Parameter ◽  
Rossby Solitary Waves

From rotational potential vorticity-conserved equation with topography effect and dissipation effect, with the help of the multiple-scale method, a new integro-differential equation is constructed to describe the Rossby solitary waves in deep rotational fluids. By analyzing the equation, some conservation laws associated with Rossby solitary waves are derived. Finally, by seeking the numerical solutions of the equation with the pseudospectral method, by virtue of waterfall plots, the effect of detuning parameter and dissipation on Rossby solitary waves generated by topography are discussed, and the equation is compared with KdV equation and BO equation. The results show that the detuning parameterαplays an important role for the evolution features of solitary waves generated by topography, especially in the resonant case; a large amplitude nonstationary disturbance is generated in the forcing region. This condition may explain the blocking phenomenon which exists in the atmosphere and ocean and generated by topographic forcing.

scholarly journals A forced 3-D time fractional ZK-Burgers model for Rossby solitary waves with dissipation and thermal forcing

2019 ◽  
Vol 23 (3 Part A) ◽  
pp. 1689-1695 ◽  
Author(s):  
Lei Fu ◽  
Zheyuan Yu ◽  
Huanhe Dong ◽  
Yuqing Li ◽  
Hongwei Yang
Keyword(s):  
Fractional Derivative ◽  
Solitary Waves ◽  
Rossby Waves ◽  
Burgers Equation ◽  
Expansion Method ◽  
Scale Analysis ◽  
Thermal Forcing ◽  
Multi Scale ◽  
Rossby Solitary Waves ◽  
Multi Scale Analysis

In the paper, beginning from the quasi-geostrophic potential vorticity equation with the dissipation and thermal forcing in stratified fluid, by employing multi-scale analysis and perturbation method, we derive a forced 3-D Zakharov Kuznetsor (ZK)-Burgers equation describe the propagation of the Rossby solitary waves within the fractional derivative. The exact solutions are given by virtue of the (G?/G)-expansion method to analyze the excitation effect of thermal forcing on the Rossby waves.

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

2014 ◽  
Vol 76 (3) ◽  
pp. 1725-1735 ◽  
Author(s):  
Hong Wei Yang ◽  
Xiang Rong Wang ◽  
Bao Shu Yin
Keyword(s):  
Solitary Waves ◽  
External Source ◽  
Rossby Solitary Waves
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