2D Toda lattice equation with self-consistent sources: Casoratian type solutions,bilinear Bäcklund transformation and Lax pair |
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| Authors: | Hong-Yan Wang Xing-Biao Hu Gegenhasi |
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| Affiliation: | 1. Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, PR China;2. Graduate School of the Chinese Academy of Sciences, Beijing, PR China |
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| Abstract: | The two-dimensional Toda lattice equation with self-consistent sources is proposed based on its bilinear forms. Casoratian-type solutions and Bäcklund transformation (BT) for the bilinear forms are presented. Starting from the BT, a Lax pair is derived for the 2D Toda lattice with self-consistent sources. |
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| Keywords: | Toda lattice with sources Soliton solutions Bä cklund transformation and Lax pair |
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