Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System
Joint Authors
Zhengrong, Liu
Cai, Huixian
Pan, Chaohong
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-07
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov system u t + ( v m ) x = 0 , v t + a ( v n ) x x x + b u x v + c u v x = 0 called D ( m , n ) system.
We reveal some interesting bifurcation phenomena as follows.
(1) For D ( 2 , 1 ) system, the fractional solitary waves can be bifurcated from the trigonometric periodic waves and the elliptic periodic waves, and the kink waves can be bifurcated from the solitary waves and the singular waves.
(2) For D ( 1 , 2 ) system, the compactons can be bifurcated from the solitary waves, and the peakons can be bifurcated from the solitary waves and the singular cusp waves.
(3) For D ( 2 , 2 ) system, the solitary waves can be bifurcated from the smooth periodic waves and the singular periodic waves.
American Psychological Association (APA)
Cai, Huixian& Pan, Chaohong& Zhengrong, Liu. 2014. Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-1013448
Modern Language Association (MLA)
Cai, Huixian…[et al.]. Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System. Abstract and Applied Analysis No. 2014 (2014), pp.1-20.
https://search.emarefa.net/detail/BIM-1013448
American Medical Association (AMA)
Cai, Huixian& Pan, Chaohong& Zhengrong, Liu. Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-1013448
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013448