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2014 Benjamin-Ono-Burgers-MKdV Equation for Algebraic Rossby Solitary Waves in Stratified Fluids and Conservation Laws
Hongwei Yang, Shanshan Jin, Baoshu Yin
Abstr. Appl. Anal. 2014(SI31): 1-5 (2014). DOI: 10.1155/2014/175841

Abstract

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.

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Hongwei Yang. Shanshan Jin. Baoshu Yin. "Benjamin-Ono-Burgers-MKdV Equation for Algebraic Rossby Solitary Waves in Stratified Fluids and Conservation Laws." Abstr. Appl. Anal. 2014 (SI31) 1 - 5, 2014. https://doi.org/10.1155/2014/175841

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07021869
MathSciNet: MR3272185
Digital Object Identifier: 10.1155/2014/175841

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI31 • 2014
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