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Multiple Skew-Orthogonal Polynomials and 2-Component Pfaff Lattice Hierarchy.
- Source :
-
Annales Henri Poincaré . Jul2024, Vol. 25 Issue 7, p3333-3370. 38p. - Publication Year :
- 2024
-
Abstract
- In this paper, we introduce multiple skew-orthogonal polynomials and investigate their connections with classical integrable systems. By using Pfaffian techniques, we show that multiple skew-orthogonal polynomials can be expressed by multi-component Pfaffian tau-functions upon appropriate deformations. Moreover, a two-component Pfaff lattice hierarchy, which is equivalent to the Pfaff–Toda hierarchy studied by Takasaki, is obtained by considering the recurrence relations and Cauchy transforms of multiple skew-orthogonal polynomials. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
*ORTHOGONAL polynomials
Subjects
Details
- Language :
- English
- ISSN :
- 14240637
- Volume :
- 25
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Annales Henri Poincaré
- Publication Type :
- Academic Journal
- Accession number :
- 177993190
- Full Text :
- https://doi.org/10.1007/s00023-023-01382-2