Positon Solutions of the KdV Equation with Self-Consistent Sources |
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Authors: | Zeng Y B Shao Y J Xue W M |
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Institution: | (1) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China;(2) Mathematical Department, Hong Kong Baptist University, Hong Kong, China |
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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. |
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Keywords: | KdV equation with self-consistent sources positon binary Darboux transformation |
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