Three-sheeted Riemann surface and solutions of the Itoh–Narita–Bogoyavlensky lattice hierarchy
DOI10.1142/S0129055X2250009XzbMath1498.37112OpenAlexW4206932920WikidataQ114073248 ScholiaQ114073248MaRDI QIDQ5863540
Publication date: 1 June 2022
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129055x2250009x
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relationships between algebraic curves and integrable systems (14H70) 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) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy
- Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
- Invariant submanifolds of the Darboux-Kadomtsev-Petviashvili chain and an extension of the discrete Kadomtsev-Petviashvili hierarchy
- On finite-zone solutions of relativistic Toda lattices
- Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
- Real finite-gap regular solutions of the Kaup-Boussinesq equation
- On the Riemann theta function of a trigonal curve and solutions of the Boussinesq and KP equations
- Integration of nonlinear equations by the methods of algebraic geometry
- Monodromy of Boussinesq elliptic operators
- The problem of integrable discretization: Hamiltonian approach
- Extended discrete KP hierarchy and its reductions from a geometric viewpoint
- Matrix finite-zone operators
- Abelian functions for cyclic trigonal curves of genus 4
- Finite-gap potentials with trigonal curves
- Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
- Algebro-geometric solutions of the Baxter-Szegő difference equation
- Analogue of Inverse Scattering Theory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
- Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions
- On some class of homogeneous polynomials and explicit form of integrable hierarchies of differential–difference equations
- On some class of reductions for the Itoh–Narita–Bogoyavlenskii lattice
- A MATRIX ANALOGUE OF APPELL'S THEOREM AND REDUCTIONS OF MULTIDIMENSIONAL RIEMANN THETA-FUNCTIONS
- The Periodic Cubic Schrõdinger Equation
- Symmetries, conserved quantities, and hierarchies for some lattice systems with soliton structure
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- An $H$-theorem for a system of competing species
- An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
- A New Approach to the Boussinesq Hierarchy
- A finite-dimensional integrable system associated with the three-wave interaction equations
- The Hamiltonian Structure of the Bogoyavlensky Lattice
- ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
- Recursion Operator of the Narita–Itoh–Bogoyavlensky Lattice
- Construction of soliton cellular automaton from the vertex model - the discrete 2D Toda equation and the Bogoyavlensky lattice
- Abelian Functions for Trigonal Curves of Genus Three
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
This page was built for publication: Three-sheeted Riemann surface and solutions of the Itoh–Narita–Bogoyavlensky lattice hierarchy