The Nizhnik-Veselov-Novikov equation with self-consistent sources |
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| Authors: | Hong-Yan Wang |
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| Institution: | (1) School of Information, Renmin University of China, Beijing, China;(2) Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, China;(3) Graduate University, Chinese Academy of Sciences, Beijing, China |
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| Abstract: | We construct the coupled generalization of the Nizhnik-Veselov-Novikov (NVN) equation, i.e., the NVN equation with self-consistent sources (ESCS) and solve it using the so-called source generation procedure. We obtain BKP-type and DKP-type Pfaffian solutions of the NVN ESCS. In addition, we give a bilinear Bäcklund transformation and a Lax pair for the NVN ESCS. Furthermore, this Lax pair can be reduced to a Lax pair for the NVN equation. |
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| Keywords: | Nizhnik-Veselov-Novikov equation self-consistent source “ source generation” procedure B?cklund transformation Lax pair |
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