Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013 (2013), Article ID 483492, 18 pages.
New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel-Korteweg-de Vries Equation
We study the nonlinear waves described by Schamel-Korteweg-de Vries equation . Two new types of nonlinear waves called compacton-like waves and kink-like waves are displayed. Furthermore, two kinds of new bifurcation phenomena are revealed. The first phenomenon is that the kink waves can be bifurcated from five types of nonlinear waves which are the bell-shape solitary waves, the blow-up waves, the valley-shape solitary waves, the kink-like waves, and the compacton-like waves. The second phenomenon is that the periodic-blow-up wave can be bifurcated from the smooth periodic wave.
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 483492, 18 pages.
First available in Project Euclid: 27 February 2014
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Wu, Yun; Liu, Zhengrong. New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel-Korteweg-de Vries Equation. Abstr. Appl. Anal. 2013 (2013), Article ID 483492, 18 pages. doi:10.1155/2013/483492. https://projecteuclid.org/euclid.aaa/1393512005