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
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;
Conference_Titel :
Natural Computation (ICNC), 2011 Seventh International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-9950-2
DOI :
10.1109/ICNC.2011.6022308
