3 papers
math.FA2025
Transformation from integral operator with separable kernel to matrix in eigenvalue problem
Soma Hirai, Ryoto Watanabe, Yuki Nishida +1
This paper investigates the eigenvalue problem of integral operators whose kernels can be expressed as a finite sum of pairwise products of single-variable functions, making them s…
math-ph2025
Cauchy-Jacobi orthogonal polynomials and the discrete CKP equation
Shi-Hao Li, Satoshi Tsujimoto, Ryoto Watanabe +1
This paper intends to construct discrete spectral transformations for Cauchy-Jacobi orthogonal polynomials, and find its corresponding discrete integrable systems. It turns out tha…
nlin.SI2023
Discretization of Camassa-Holm peakon equation using orthogonal polynomials and matrix transformations
R. Watanabe, M. Iwasaki, S. Tsujimoto
Discrete integrable systems are closely related to orthogonal polynomials and isospectral matrix transformations. In this paper, we use these relationships to propose a nonautonomo…