FIZIKA A 17 (2008) 3 , 103-108

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SOLITON PERTURBATION THEORY FOR THE KAWAHARA EQUATION

ANJAN BISWASa and ESSAID ZERRADb

aCenter for Research and Education in Optical Sciences and Applications,
Department of Applied Mathematics and Theoretical Physics, Delaware State University, Dover, DE 19901-2277, U. S. A.
bDepartment of Physics and Pre-Engineering, Delaware State University,
Dover, DE 19901-2277, U. S. A.

Received 25 November 2007;     Revised manuscript received 8 December 2008
Accepted 17 December 2008     Online 28 January 2009

The Kawahara equation is studied along with its perturbation terms. The adiabatic dynamics of the soliton amplitude and the velocity of the soliton is obtained by the aid of soliton perturbation theory.

PACS numbers: 02.30.Jr, 02.30.Ik
UDC 517.95, 517.957

Keywords: Kawahara equation, soliton, perturbation theory, adiabatic dynamics

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