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 Benjamin-Ono-Burgers-MKdV Equation for Algebraic Rossby Solitary Waves in Stratified Fluids and Conservation Laws

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Hongwei Yang ◽  
Shanshan Jin ◽  
Baoshu Yin
Keyword(s):  
Conservation Laws ◽  
Solitary Waves ◽  
Rossby Waves ◽  
Multiple Scale ◽  
Mkdv Equation ◽  
Center Of Gravity ◽  
Stratified Fluids ◽  
Scale Method ◽  
Small Dissipation ◽  
Rossby Solitary Waves

In the paper, by using multiple-scale method, the Benjamin-Ono-Burgers-MKdV (BO-B-MKdV) equation is obtained which governs algebraic Rossby solitary waves in stratified fluids. This equation is first derived for Rossby waves. By analysis and calculation, some conservation laws are derived from the BO-B-MKdV equation without dissipation. The results show that the mass, momentum, energy, and velocity of the center of gravity of algebraic Rossby waves are conserved and the presence of a small dissipation destroys these conservations.

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.

Solitary waves in compressible, stratified fluids

Tellus ◽  
1966 ◽  
Vol 18 (1) ◽  
pp. 79-85 ◽  
Author(s):  
Robert R. Long ◽  
Jeffrey B. Morton
Keyword(s):  
Solitary Waves ◽  
Stratified Fluids
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