DocumentCode
554116
Title
The three-wave method for two shallow water wave equations
Author
Ping He ; Defei Zhang
Author_Institution
Dept. of Math., Honghe Univ., Mengzi, China
Volume
3
fYear
2011
fDate
26-28 July 2011
Firstpage
1419
Lastpage
1423
Abstract
In this paper, two shallow water wave equations are studied by extended three-soliton method. The new exact solutions including the kink-soliton solution, the anti-kink soliton solution, the distortional solitary wave solution and smooth solitary wave solution for the shallow water wave equations are obtained. Their dynamic properties of some exact solutions are discussed and their profiles of these solutions are given by use of software Maple.
Keywords
solitons; wave equations; antikink soliton solution; distortional solitary wave solution; extended three-soliton method; shallow water wave equation; software Maple; three-wave method; Educational institutions; Equations; Mathematical model; Nonlinear distortion; Partial differential equations; Propagation; Solitons; Shallow water wave equation; anti-kink soliton solution; smooth solitary wave solution; the distortional solitary wave solution; the kink-soliton solution;
fLanguage
English
Publisher
ieee
Conference_Titel
Natural Computation (ICNC), 2011 Seventh International Conference on
Conference_Location
Shanghai
ISSN
2157-9555
Print_ISBN
978-1-4244-9950-2
Type
conf
DOI
10.1109/ICNC.2011.6022308
Filename
6022308
Link To Document