Article ID Journal Published Year Pages File Type
4632046 Applied Mathematics and Computation 2010 5 Pages PDF
Abstract

This paper obtains the exact 1-soliton solution of the perturbed Korteweg–de Vries equation with power law nonlinearity. The topological soliton solutions are obtained. The solitary wave ansatz is used to carry out this integration. The domain restrictions are identified in the process and the parameter constraints are also obtained. It has been proved that topological solitons exist only when the KdV equation with power law nonlinearity reduces to simply KdV equation.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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