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Soliton perturbation theory for nonlinear wave equations
Authors:Laila Girgis
Affiliation:a Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
b Applied Mathematics Research Center, Center for Research and Education in Optical Sciences and Applications, Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
Abstract:This paper studies the soliton perturbation that are described by three nonlinear wave equations. The adiabatic dynamics of the soliton parameters and the soliton velocity is obtained, in the presence of perturbation terms. The fixed point is also determined in a couple of cases.
Keywords:Solitons   Perturbation   Fixed point
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