正方形和三角形晶格上托达型的可积动力学。
Integrable dynamics of Toda type on square and triangular lattices.
作者信息
Santini P M, Doliwa A, Nieszporski M
机构信息
Dipartimento di Fisica, Università di Roma "La Sapienza" and Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Piazz.le Aldo Moro 2, I-00185 Roma, Italy.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 May;77(5 Pt 2):056601. doi: 10.1103/PhysRevE.77.056601. Epub 2008 May 1.
In a recent paper we constructed an integrable generalization of the Toda law on the square lattice. We construct other examples of integrable dynamics of Toda type on the square lattice, as well as on the triangular lattice, as nonlinear symmetries of the discrete Laplace equations on square and triangular lattices. We also construct the tau -function formulations and Darboux-Bäcklund transformations of these dynamics.
在最近的一篇论文中，我们构建了正方形晶格上户田定律的一个可积推广。我们构建了正方形晶格以及三角形晶格上户田型可积动力学的其他例子，作为正方形和三角形晶格上离散拉普拉斯方程的非线性对称性。我们还构建了这些动力学的τ函数表述以及达布 - 巴克伦德变换。
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