Multidimensional Toda Lattices: Continuous and Discrete Time

作者：Aptekarev Alexander I^*; Derevyagin Maxim; Miki Hiroshi; Van Assche Walter

来源：Symmetry Integrability and Geometry-Methods and Applications, 2016, 12: 054.

DOI：10.3842/SIGMA.2016.054

• multiple orthogonal polynomials
• orthogonal polynomials
• recurrence relations
• Toda equation
• discrete integrable system
• Toda lattice

In this paper we present multidimensional analogues of both the continuous and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates. To construct the systems, we generalize the orthogonal polynomial approach for the continuous and discrete Toda lattices to the case of multiple orthogonal polynomials.

• 出版日期2016