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FIZIKA A 18 (2009) 1 , 1-8
 
FINDING THE BELL-TYPE SOLITON SOLUTIONS TO NONLINEAR EVOLUTION EQUATIONS BY
A UNIFIED METHOD
YUAN-XI XIE
Department of Physics and Electronic Information,
Hunan Institute of Science and Technology, Yueyang Hunan 414000, P. R. China
E-mail address: xieyuanxi88@163.com
Received 28 April 2008; Revised manuscript received 15 February 2009
Accepted 18 February 2009 Online 20 April 2009
A simple and unified method is presented to find the bell-type soliton solutions
for nonlinear evolution equations by introducing a transformation containing two
unknown functions and selecting appropriately trial functions. We demonstrate
its effectiveness by applications to certain physically significant equations as
particular examples. The technique used herein can also be used to explore the
bell-type soliton solutions of other nonlinear evolution equations.
PACS numbers: 02.30.Jr, 03.65.Ge
UDC 531.435
Keywords: nonlinear evolution equation, bell-type soliton solution, trial function
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