VARIABLE SEPARATION AND ALGEBRAIC-GEOMETRIC SOLUTIONS OF MODIFIED TODA LATTICE EQUATION

DOI10.1142/S0217984910024420zbMath1201.37098OpenAlexW2129763922MaRDI QIDQ4931895

Lin Luo, En-gui Fan

Publication date: 1 October 2010

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984910024420

zbMATH Keywords

Riemann theta functionLax pairsalgebraic-geometric solutionmodified Toda latticethe Abel-Jacobi coordinatethe Baker function

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items

Application of the trigonal curve to a hierarchy of generalized Toda lattices

Cites Work

• \(r\)-matrix and algebraic-geometric solution for integrable symplectic map.
• A hierarchy of nonlinear lattice soliton equations, its integrable coupling systems and infinitely many conservation laws
• Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
• The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
• Rational solutions of the Toda lattice equation in Casoratian form
• Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation
• Quasi-periodic solutions for some (2 + 1)-dimensional integrable models generated by the Jaulent-Miodek hierarchy
• Algebraic geometrical solutions for certain evolution equations and Hamiltonian flows on nonlinear subvarieties of generalized Jacobians
• Quasi-periodic solutions of the coupled nonlinear Schrödinger equations
• EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
• AN APPLICATION OF THE CASORATIAN TECHNIQUE TO THE 2D TODA LATTICE EQUATION
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• The finite-band solution of the Jaulent–Miodek equation
• GENERALIZED r-MATRIX STRUCTURE AND ALGEBRO-GEOMETRIC SOLUTION FOR INTEGRABLE SYSTEM
• Finite-band solutions of the classical Boussinesq–Burgers equations
• Algebro-geometric solution of the 2+1 dimensional Burgers equation with a discrete variable
• DARBOUX TRANSFORMATION OF THE MODIFIED TODA LATTICE EQUATION
• Some general periodic solutions to coupled nonlinear Schrödinger equations.