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Positon Solutions of the KdV Equation with Self-Consistent Sources
Authors:Zeng  Y B  Shao  Y J  Xue  W M
Institution:(1) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China;(2) Mathematical Department, Hong Kong Baptist University, Hong Kong, China
Abstract:We construct a binary Darboux transformation with an arbitrary time function for the KdV equation with self-consistent sources. With this transformation, we obtain positon solutions of the KdV equation with self-consistent sources. We also discuss the properties of these solutions.
Keywords:KdV equation with self-consistent sources  positon  binary Darboux transformation
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