Title :
New exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation
Author :
Cao, DongBo ; Pan, LiuXian ; Yan, JiaRen
Author_Institution :
Sch. of Comput. & Electron. Eng., Hunan Univ. of Commerce, Changsha, China
Abstract :
To obtain new exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation, with the aid of symbolic computation, the Korteweg-de Vries Burgers equation and Korteweg-de Vries equation are investigated by using the trigonometric function transform method. More exact traveling wave solutions are obtained, and new exact traveling wave solutions are obtained for Korteweg-de Vries equation. The exact solutions for the nonlinear differential evolution equation are efficient and widely applicable.
Keywords :
Korteweg-de Vries equation; initial value problems; nonlinear differential equations; Korteweg-de Vries Burgers equation; exact solutions; nonlinear differential evolution equation; symbolic computation; traveling wave solutions; trigonometric function transform method; Equations; Mathematical model; Partial differential equations; Software; Solitons; Transforms; KdV equation; KdV-Burgers equation; exact solutions; symbolic computation; the trigonometric function transform method;
Conference_Titel :
Management Science and Industrial Engineering (MSIE), 2011 International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-8383-9
DOI :
10.1109/MSIE.2011.5707618
