Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759557 | Communications in Nonlinear Science and Numerical Simulation | 2008 | 11 Pages |
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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Authors
Hongxia Wu, Yunbo Zeng, Tianyou Fan,