Quasi-periodic solutions to hierarchies of nonlinear integrable equations and bilinear relations
DOI10.1016/j.geomphys.2023.104990zbMath1525.37076arXiv2304.05108OpenAlexW4386580478MaRDI QIDQ6051005
Publication date: 19 September 2023
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.05108
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Theta functions and curves; Schottky problem (14H42)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solitons and infinite dimensional Lie algebras
- Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
- Quasi-periodic solutions of the orthogonal KP equation. Translation groups for soliton equations. V
- Characterization of Jacobian varieties in terms of soliton equations
- Differential equations on the Prym theta function. A realness criterion for two-dimensional finite-zone potential Schrödinger operators
- Integration of nonlinear equations by the methods of algebraic geometry
- On Hirota's difference equations
- Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
- Theta functions on Riemann surfaces
- Kadomtsev-Petviashvili hierarchies of types B and C
- Kadomtsev-Petviashvili turning points and CKP hierarchy
- Soliton equations and the Riemann-Schottky problem
- Theta functions and non-linear equations
- KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
- NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
- Toda lattice with constraint of type B
This page was built for publication: Quasi-periodic solutions to hierarchies of nonlinear integrable equations and bilinear relations