Bifurcation Approach to Analysis of Travelling Waves in Nonlocal Hydrodynamic-Type Models
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-18
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The paper considers the nonlocal hydrodynamic-type systems which are two-dimensional travelling wave systems with a five-parameter group.
We apply the method of dynamical systems to investigate the bifurcations of phase portraits depending on the parameters of systems and analyze the dynamical behavior of the travelling wave solutions.
The existence of peakons, compactons, and periodic cusp wave solutions is discussed.
When the parameter n equals 2, namely, let the isochoric Gruneisen coefficient equal 1, some exact analytical solutions such as smooth bright solitary wave solution, smooth and nonsmooth dark solitary wave solution, and periodic wave solutions, as well as uncountably infinitely many breaking wave solutions, are obtained.
American Psychological Association (APA)
Shi, Jianping& Li, Jibin. 2014. Bifurcation Approach to Analysis of Travelling Waves in Nonlocal Hydrodynamic-Type Models. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1015001
Modern Language Association (MLA)
Shi, Jianping& Li, Jibin. Bifurcation Approach to Analysis of Travelling Waves in Nonlocal Hydrodynamic-Type Models. Abstract and Applied Analysis No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1015001
American Medical Association (AMA)
Shi, Jianping& Li, Jibin. Bifurcation Approach to Analysis of Travelling Waves in Nonlocal Hydrodynamic-Type Models. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1015001
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015001