Izvorni znanstveni članak
Solutions of a class of nonlinear wave equations
Yuan-Xi Xie
; Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China
Jia-Shi Tang
; Department of Engineering Mechanics, Hunan University, Changsha 410082, P. R. China
Sažetak
The Burgers equation, KdV equation and Burgers-KdV equation are real physical mode equations concerning many branches in physics. In this paper, by introducing a new transformation and applying the trial-function method to these three equations, a series of more general explicit and exact travelling wave solutions to them, which include the solitary wave solutions, the singular travelling-wave solutions, and the triangle-function periodic wave solutions, are presented. Among them, some are new travelling-wave solutions.
Ključne riječi
nonlinear wave equation; trial function; solitary wave solution; singular travelling wave solution; triangle function solution
Hrčak ID:
302006
URI
Datum izdavanja:
3.7.2005.
Posjeta: 487 *