Closed-form expressions for integrals of traveling wave reductions of integrable lattice equations

DOI10.1088/1751-8113/42/22/225201zbMath1192.37102OpenAlexW1979043992MaRDI QIDQ5321798

Dinh T. Tran, Gilles Reinout Willem Quispel, Peter H. van der Kamp

Publication date: 15 July 2009

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

Full work available at URL: https://semanticscholar.org/paper/ea7176f23fe0bde96a64d618dbeb1668008d75ee

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 (5)

Poisson brackets of mappings obtained as \((q,-p)\) reductions of lattice equations ⋮ Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps ⋮ Dressing the dressing chain ⋮ Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations ⋮ A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants

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