Generalized Casoratian condition and Casoratian solutions of the Toda lattice are given in terms of its bilinear Backlund transformation. By choosing suitable Casoratian entries and parameter in the bilinear Backlund ...Generalized Casoratian condition and Casoratian solutions of the Toda lattice are given in terms of its bilinear Backlund transformation. By choosing suitable Casoratian entries and parameter in the bilinear Backlund transformation, we can give transformations among many kinds of solutions.展开更多
基金＊The project supported by National Natural Science Foundation of China under Grant No. 10371070, the Youth Foundation of Shanghai Education Committee, and the Foundation of Shanghai Education Committee for Shanghai Prospective Excellent Young Teachers
文摘在这篇短论文，我们概括 Casoratian 条目为二维的 Toda 格子满足的条件。尽管我们最后断定我们的归纳在为得到新答案的某感觉是小的，我们的讨论对学习 ofWronskian 技术仍然有用。
基金Supported by National Natural Science Foundation of China under Grant No. 10671121Shanghai Leading Academic Discipline Project under Grant No. J50101
文摘Generalized Casoratian condition and Casoratian solutions of the Toda lattice are given in terms of its bilinear Backlund transformation. By choosing suitable Casoratian entries and parameter in the bilinear Backlund transformation, we can give transformations among many kinds of solutions.
