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Wu, Hongxia; Zeng, Yunbo; Fan, Tianyou

On the extended KdV equation with self-consistent sources. (English) Zbl 1209.35121

Phys. Lett., A 370, No. 5-6, 477-484 (2007).
Summary: The positive extended KdV equation with self-consistent sources (eKdV\(^{+}\) ESCSs) is firstly presented and its related linear auxiliary equation is derived. The generalized binary Darboux transformation (DT) is applied to construct some new solutions of the eKdV\(^{+}\) ESCSs such as \(N\)-soliton solution, \(N\)-double pole solution and nonsingular \(N\)-positon solution. The properties of these solutions are analyzed. Moreover, the interaction of two solitons is discussed in detail.

Cited in 7 Documents

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations

Keywords:

generalized binary DT; soliton solution; double pole solution; nonsingular positon solution
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