1-soliton solution of the K(m,n) equation with generalized evolution and time-dependent damping and dispersion

Authors:
Anjan Biswas
Affiliations:
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, U ...
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

This paper obtains the 1-soliton solution of the K(m,n) equation with generalized evolution in the presence of linear damping. The dispersion and linear damping terms have time-dependent coefficients. An exact 1-soliton solution is obtained for this equation together with the constraint between these time-dependent coefficients for the solitons to exist.