Upon Generating Discrete Expanding Integrable Models of the Toda Lattice Systems and Infinite Conservation Laws
Upon Generating Discrete Expanding Integrable Models of the Toda Lattice Systems and Infinite Conservation Laws
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DOI：
10.1515/zna-2016-0347
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
Yufeng Zhang;Xiangzhi Zhang;Yan Wang;Jiangen Liu
中科院分区：
文献类型：
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作者：
Yufeng Zhang;Xiangzhi Zhang;Yan Wang;Jiangen Liu
Abstract With the help of R-matrix approach, we present the Toda lattice systems that have extensive applications in statistical physics and quantum physics. By constructing a new discrete integrable formula by R-matrix, the discrete expanding integrable models of the Toda lattice systems and their Lax pairs are generated, respectively. By following the constructing formula again, we obtain the corresponding (2+1)-dimensional Toda lattice systems and their Lax pairs, as well as their (2+1)-dimensional discrete expanding integrable models. Finally, some conservation laws of a (1+1)-dimensional generalised Toda lattice system and a new (2+1)-dimensional lattice system are generated, respectively.
