Darboux transformation with dihedral reduction group

DOI10.1063/1.4901224zbMath1304.37048arXiv1402.5660OpenAlexW2018962163WikidataQ61835398 ScholiaQ61835398MaRDI QIDQ2934207

Jing Ping Wang, Georgios Papamikos, Alexander V. Mikhailov

Publication date: 11 December 2014

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

Full work available at URL: https://arxiv.org/abs/1402.5660

zbMATH Keywords

Darboux transformationperiodic Volterra latticedihedral reduction group

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice functional-differential equations (34K31)

Related Items

On Mikhailov's reduction group, Higher-dimensional automorphic Lie algebras, Reduction groups and related integrable difference systems of nonlinear Schrödinger type, Representations of \(\mathfrak{sl}(2,\mathbb{C})\) in category \(\mathcal{O}\) and master symmetries, Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere, Wave fronts and cascades of soliton interactions in the periodic two dimensional Volterra system

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