Article ID Journal Published Year Pages File Type
759557 Communications in Nonlinear Science and Numerical Simulation 2008 11 Pages PDF
Abstract

The negative extended KdV equation with self-consistent sources (eKdV−ESCSs) is firstly presented and the associated linear auxiliary equations are derived. The generalized binary Darboux transformation (DT) is applied to construct some new solutions of the eKdV−ESCSs such as singular N-soliton solution, N-soliton solution with finite amplitude, N-positon solution and N-negaton solution. The properties of these solutions are analyzed. Moreover, the interactions of two solitons, positon and negaton, positon and soliton, and two positons are discussed.

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Physical Sciences and Engineering Engineering Mechanical Engineering
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