Peaked and Smooth Solitons for K*(4,1) Equation
Joint Authors
Fu, Hualiang
Xie, Yongan
Tang, Shengqiang
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is contributed to explore all possible single peak solutions for the K*(4,1) equation ut=uxu2+2α(uuxxx+2uxuxx).
Our procedure shows that the K*(4,1) equation either has peakon, cuspon, and smooth soliton solutions when sitting on a nonzero constant pedestal limξ→±∞u=A≠0 or possesses compacton solutions only when limξ→±∞u=A=0.
We present a new smooth soliton solution in an explicit form.
Mathematical analysis and numeric graphs are provided for those soliton solutions of the K*(4,1) equation.
American Psychological Association (APA)
Xie, Yongan& Fu, Hualiang& Tang, Shengqiang. 2013. Peaked and Smooth Solitons for K*(4,1) Equation. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-478080
Modern Language Association (MLA)
Xie, Yongan…[et al.]. Peaked and Smooth Solitons for K*(4,1) Equation. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-478080
American Medical Association (AMA)
Xie, Yongan& Fu, Hualiang& Tang, Shengqiang. Peaked and Smooth Solitons for K*(4,1) Equation. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-478080
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478080
