کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775804 1631747 2017 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bivariate orthogonal polynomials, 2D Toda lattices and Lax-type pairs
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Bivariate orthogonal polynomials, 2D Toda lattices and Lax-type pairs
چکیده انگلیسی
We explore the connection between an infinite system of particles in R2 described by a bi-dimensional version of the Toda equations with the theory of orthogonal polynomials in two variables. We define a 2D Toda lattice in the sense that we consider only one time variable and two space variables describing a mesh of interacting particles over the plane. We show that this 2D Toda lattice is related with the matrix coefficients of the three term relations of bivariate orthogonal polynomials associated with an exponential modification of a positive measure. Moreover, block Lax pairs for 2D Toda lattices are deduced.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 309, 15 September 2017, Pages 142-155
نویسندگان
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