New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel-Korteweg-de Vries Equation
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-28
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We study the nonlinear waves described by Schamel-Korteweg-de Vries equation ut+au1/2+buux+δuxxx=0.
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.
American Psychological Association (APA)
Wu, Yun& Zhengrong, Liu. 2013. New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel-Korteweg-de Vries Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-475204
Modern Language Association (MLA)
Wu, Yun& Zhengrong, Liu. New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel-Korteweg-de Vries Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-18.
https://search.emarefa.net/detail/BIM-475204
American Medical Association (AMA)
Wu, Yun& Zhengrong, Liu. New Types of Nonlinear Waves and Bifurcation Phenomena in Schamel-Korteweg-de Vries Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-18.
https://search.emarefa.net/detail/BIM-475204
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475204