Matrix-Valued Cauchy Bi-Orthogonal Polynomials and a Novel Noncommutative Integrable Lattice

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Studies in Applied Mathematics Pub Date : 2025-03-07 DOI:10.1111/sapm.70040

Shi-Hao Li, Ying Shi, Guo-Fu Yu, Jun-Xiao Zhao

引用次数: 0

Abstract

Matrix-valued Cauchy bi-orthogonal polynomials are proposed in this paper, together with its quasideterminant expression. It is shown that the coefficients in the four-term recurrence relation for matrix-valued Cauchy bi-orthogonal polynomials satisfy a novel noncommutative integrable system, whose Lax pair is given by fractional differential operators with non-abelian variables.

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来源期刊

Studies in Applied Mathematics 数学-应用数学

CiteScore

4.30

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.