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A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions
Joint Authors
Wu, Xianbin
Rui, Weiguo
Hong, Xiaochun
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-21
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study a generalized KdV equation of neglecting the highest order infinitesimal term, which is an important water wave model.
Some exact traveling wave solutions such as singular solitary wave solutions, semiloop soliton solutions, dark soliton solutions, dark peakon solutions, dark loop-soliton solutions, broken loop-soliton solutions, broken wave solutions of U-form and C-form, periodic wave solutions of singular type, and broken wave solution of semiparabola form are obtained.
By using mathematical software Maple, we show their profiles and discuss their dynamic properties.
Investigating these properties, we find that the waveforms of some traveling wave solutions vary with changes of certain parameters.
American Psychological Association (APA)
Wu, Xianbin& Rui, Weiguo& Hong, Xiaochun. 2013. A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-488711
Modern Language Association (MLA)
Wu, Xianbin…[et al.]. A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions. Abstract and Applied Analysis No. 2013 (2013), pp.1-15.
https://search.emarefa.net/detail/BIM-488711
American Medical Association (AMA)
Wu, Xianbin& Rui, Weiguo& Hong, Xiaochun. A Generalized KdV Equation of Neglecting the Highest-Order Infinitesimal Term and Its Exact Traveling Wave Solutions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-15.
https://search.emarefa.net/detail/BIM-488711
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488711