Method of Darboux Transformation Matrix for the KdV Equation |
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Authors: | Gou-Jun LIAO Nian-Ning HUANG |
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Affiliation: | 1. Department of Mathematics, The University of Texas at Arlington, Arlington, TX 76019, USA;2. Department of Physics, Wuhan University, Wuhan 430072, China |
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Abstract: | For the KdV equation, the method based upon the Darboux transformation matrix is developed. All the conditions are shown to hold by suitably choosing the constants involved. Exphiit expressions of Darboux matrices are determined in a recursive manner. |
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