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2012 Kink Waves and Their Evolution of the RLW-Burgers Equation
Yuqian Zhou, Qian Liu
Abstr. Appl. Anal. 2012: 1-14 (2012). DOI: 10.1155/2012/109235

Abstract

This paper considers the bounded travelling waves of the RLW-Burgers equation. We prove that there only exist two types of bounded travelling waves, the monotone kink waves and the oscillatory kink waves. For the oscillatory kink wave, the regularity of its maximum oscillation amplitude changing with parameters is discussed. Exact expressions of the monotone kink waves and approximate expressions of the oscillatory ones are obtained in some special cases. Furthermore, all bounded travelling waves of the RLW-Burgers equation under different parameter conditions are identified and the evolution of them is discussed to explain the corresponding physical phenomena.

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Yuqian Zhou. Qian Liu. "Kink Waves and Their Evolution of the RLW-Burgers Equation." Abstr. Appl. Anal. 2012 1 - 14, 2012. https://doi.org/10.1155/2012/109235

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1246.35169
MathSciNet: MR2959766
Digital Object Identifier: 10.1155/2012/109235

Rights: Copyright © 2012 Hindawi

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