|
| |
FIZIKA A 12 (2003) 1 , 9 -14
 
EXACT SOLUTIONS FOR THE GENERALIZED VARIABLE-COEFFICIENT KdV EQUATION
YAN-ZE PENG
Laboratory of Pure and Applied Mathematics, School of Mathematical
Sciences,
Peking University, Beijing 100871, P. R. China
e-mail address: yanzepeng@163.com
Received 16 March 2003; Accepted 21 July 2002
Online 20 September 2003
The generalized variable-coefficient Korteveg de Vries equation is investigated by
means of the polynomial expansion method and many travelling-wave solutions are
constructed, including the solitary wave, the triangular periodic wave and the rational
solutions. The technique is straightforward to use and only minimal algebra is needed to
find these solutions. A simple review of the method is finally given.
PACS numbers: 02.30.Jr, 05.45.Yv
UDC 531.435, 531.327.13
Keywords: generalized variable-coefficient KdV equation, travelling-wave solution,
polynomial expansion method
|
