A HIERARCHY OF LATTICE SOLITON EQUATIONS AND ITS HIGHER-ORDER SYMMETRY CONSTRAINT

DOI10.1142/S021797920703720XzbMath1116.37047OpenAlexW2057752750MaRDI QIDQ5295466

Xi-Xiang Xu, Hong-Xiang Yang

Publication date: 30 July 2007

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

Full work available at URL: https://doi.org/10.1142/s021797920703720x

zbMATH Keywords

Hamiltonian structurebinary nonlinearizationintegrable symplectic maplattice soliton equationhigher-order symmetry constraint

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws ⋮ The finite-dimensional super integrable system of a super NLS-mKdV equation ⋮ DARBOUX TRANSFORMATION AND EXPLICIT SOLUTIONS FOR A 3-FIELD INTEGRABLE LATTICE SYSTEM WITH THREE ARBITRARY CONSTANTS ⋮ New Lax pairs of the Toda lattice and the nonlinearization under a higher-order Bargmann constraint

Cites Work

• Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
• Integrable symplectic maps
• A generalized Wadati--Konno--Ichikawa hierarchy and its binary nonlinearization by symmetry constraints.
• Binary nonlinearization of AKNS spectral problem under higher-order symmetry constraints.
• Factorization of a hierarchy of the lattice soliton equations from a binary Bargmann symmetry constraint
• A hierarchy of discrete Hamiltonian equations and its binary nonlinearization by symmetry constraint
• Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Nonlinear differential−difference equations
• R-matrix approach to lattice integrable systems
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• The Toda lattice. II. Existence of integrals
• A new integrable symplectic map associated with lattice soliton equations
• Adjoint Symmetry Constraints Leading to Binary Nonlinearization

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