FIZIKA A 17 (2008) 3 , 103-108
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
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