Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants
Abstract
For the first two equations of the Volterra lattice hierarchy and the first two equations of its non-autonomous (non-isospectral) extension, we present Riccati systems for functions c j (t), , such that an expression in terms of Hankel determinants built from them solves these equations on the right half of the lattice. This actually achieves a complete linearization of these equations of the extended Volterra lattice hierarchy.
- Publication:
-
Nonlinearity
- Pub Date:
- September 2018
- DOI:
- 10.1088/1361-6544/aacd63
- arXiv:
- arXiv:1712.01730
- Bibcode:
- 2018Nonli..31.4393C
- Keywords:
-
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- 37K10;
- 37K15;
- 42C05;
- 70H06
- E-Print:
- 31 pages, 3rd version: introduction extended, part of Section 2 moved there, Appendix D added, additional references, to appear in Nonlinearity