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FIZIKA A 14 (2005) 3, 233 - 244
 
SOLUTIONS OF A CLASS OF NONLINEAR WAVE EQUATIONS
YUAN-XI XIE and JIA-SHI TANG
Department of Engineering Mechanics, Hunan University, Changsha 410082,
P. R. China
E-mail address: xieyuanxi88@163.com
Received 22 December 2004; revised manuscript received 22 June
2005
Accepted 12 September 2005 Online 6 February 2006
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.
PACS numbers: 02.30.Jr, 03.65.Ge
UDC 531.435
Keywords: nonlinear wave equation, trial function, solitary wave solution, singular
travelling wave solution, triangle function solution
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