A TWO-PARAMETER ELLIPTIC EXTENSION OF THE LATTICE KdV SYSTEM

DOI10.1007/978-1-4020-3503-6_22zbMATH Open1123.37045OpenAlexW71361657MaRDI QIDQ5424530

Sian E. Puttock, Frank Nijhoff

Publication date: 5 November 2007

Published in: Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-3503-6_22

zbMATH Keywords

elliptic curveintegrable systemLax pairpartial difference equationssoliton type solutionselliptic lattice systemtwo-parameter deformation of the lattice KdV

Mathematics Subject Classification ID

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) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (2)

An algebraically stable variety for a four-dimensional dynamical system reduced from the lattice super-KdV equation ⋮ Lattice modified KdV hierarchy from a Lax pair expansion

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