Integrability of reductions of the discrete Korteweg–de Vries and potential Korteweg–de Vries equations

DOI10.1098/rspa.2012.0747zbMath1354.37066arXiv1211.6958OpenAlexW3104741325MaRDI QIDQ2831271

Dinh T. Tran, Andrew N. W. Hone, Peter H. van der Kamp, Gilles Reinout Willem Quispel

Publication date: 2 November 2016

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6958

zbMATH Keywords

Poisson bracketsintegrable mapspartial difference equations

Mathematics Subject Classification ID

Related Items (8)

Poisson brackets of mappings obtained as \((q,-p)\) reductions of lattice equations ⋮ On the singularity structure of the discrete KdV equation ⋮ Hierarchies of q-discrete Painlevé equations ⋮ Some integrable maps and their Hirota bilinear forms ⋮ Poisson structures for difference equations ⋮ On reductions of the Hirota-Miwa equation ⋮ Discrete Hirota reductions associated with the lattice KdV equation ⋮ On solutions for some class of integrable difference equations

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