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FIZIKA A 12 (2003) 4 , 161 - 170
 
THE EXTENDED JACOBIAN ELLIPTIC FUNCTION EXPANSION METHOD AND ITS
APPLICATION TO NONLINEAR WAVE EQUATIONS
CHEN LIANG, XU YONG, LIU ZHONGFEI and HAN JIAHUA
Department of Physics, Anhui University, Hefei 230039, China
Received 9 June 2003; revised manuscript received 5 December 2003
Accepted 15 December 2003 Online 19 April 2004
In this work an extended Jacobian elliptic function expansion method is applied to
construct the exact periodic solutions of two nonlinear wave equations. The periodic
solutions obtained by this method can be reduced to the solitary wave solutions under
certain limiting conditions.
PACS numbers: 02.60.Lj, 05.45.Yv
UDC 531.133,
Keywords: Jacobian elliptic functions, nonlinear equation, Benjamin-Bona-Mahoni
equation, Klein-Gordon equation, solitary wave solution
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