A finite genus solution of the Hirota equation via integrable symplectic maps

DOI10.1088/1751-8113/45/9/095203zbMath1248.37062OpenAlexW1985448878MaRDI QIDQ2879927

Guangyao Zhang, Ce Wen Cao

Publication date: 10 April 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/45/9/095203

zbMATH Keywords

integrable symplectic mapslattice sine-Gordon equationlattice potential MKdV equationnonlinearlization

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60)

Related Items (10)

Solutions to ABS Lattice Equations via Generalized Cauchy Matrix Approach ⋮ Poisson structure and action-angle variables for the Hirota equation ⋮ Quasi-periodic solutions to a negative-order integrable system of 2-component KdV equation ⋮ The Sylvester equation and the elliptic Korteweg-de Vries system ⋮ A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations ⋮ Explicit quasi-periodic solutions of the Vakhnenko equation ⋮ Integrable symplectic maps via reduction of Bäcklund transformation ⋮ Quasi-periodic solutions of the negative-order Jaulent–Miodek hierarchy ⋮ Algebro-geometric integration of the Q1 lattice equation via nonlinear integrable symplectic maps ⋮ Algebro-geometric solutions to the lattice potential modified Kadomtsev–Petviashvili equation

This page was built for publication: A finite genus solution of the Hirota equation via integrable symplectic maps