Quasi-periodic solutions of the Belov–Chaltikian lattice hierarchy

DOI10.1142/S0129055X17500258zbMath1408.37123OpenAlexW2737486217MaRDI QIDQ5370833

Xin Zeng, Xiangguo Geng

Publication date: 20 October 2017

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x17500258

zbMATH Keywords

quasi-periodic solutiontrigonal curveBC lattice hierarchy

Mathematics Subject Classification ID

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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Theta functions and curves; Schottky problem (14H42)

Related Items (8)

Finite genus solutions of the generalized Merola–Ragnisco–Tu lattice hierarchy ⋮ Quasi-periodic solutions of a discrete integrable equation with a finite-dimensional integrable symplectic structure ⋮ Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation ⋮ Coupled discrete Sawada-Kotera equations and their explicit quasi-periodic solutions ⋮ Explicit solutions of the coupled Bogoyavlensky lattice 1(2) Hierarchy ⋮ Dynamical behaviour of rogue wave solutions in a multi-component AB system ⋮ Spatially discrete Boussinesq equation: integrability, Darboux transformation, exact solutions and continuum limit ⋮ Algebro-geometric quasi-periodic solutions to the Bogoyavlensky lattice 2(3) equations

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