The staircase method: integrals for periodic reductions of integrable lattice equations

DOI10.1088/1751-8113/43/46/465207zbMath1215.39011arXiv1005.2071OpenAlexW3103562219MaRDI QIDQ3058623

Peter H. van der Kamp, Gilles Reinout Willem Quispel

Publication date: 3 December 2010

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

Full work available at URL: https://arxiv.org/abs/1005.2071

zbMATH Keywords

integrabilityKorteweg-de Vries equationLax pair

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lattice dynamics; integrable lattice equations (37K60) Partial difference equations (39A14) Periodic solutions of difference equations (39A23)

Related Items (11)

Poisson brackets of mappings obtained as \((q,-p)\) reductions of lattice equations ⋮ On non-multiaffine consistent-around-the-cube lattice equations ⋮ Symbolic computation of Lax pairs of partial difference equations using consistency around the cube ⋮ A new class of integrable maps of the plane: Manin transformations with involution curves ⋮ On reductions of the Hirota-Miwa equation ⋮ Dressing the dressing chain ⋮ THE INTEGRAL NORMAL FORM OF A THREE-DIMENSIONAL TRAVELING WAVE SOLUTION MAPPING DERIVED FROM GENERALIZED ΔΔ-mKdV EQUATION ⋮ Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations ⋮ The Multisymplectic Diamond Scheme ⋮ A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants ⋮ Discrete Hirota reductions associated with the lattice KdV equation

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