Towards the classification of integrable differential–difference equations in 2 + 1 dimensions
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Publication:2839474
DOI10.1088/1751-8113/46/24/245207zbMath1329.35263arXiv1303.3430OpenAlexW2052200998MaRDI QIDQ2839474
I. Roustemoglou, Vladimir Novikov, Evgeny V. Ferapontov
Publication date: 11 July 2013
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.3430
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Applications of difference equations (39A60)
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Integrable systems of the intermediate long wave type in \(2 + 1\) dimensions ⋮ Lax pair for a novel two-dimensional lattice ⋮ Representations of \(\mathfrak{sl}(2,\mathbb{C})\) in category \(\mathcal{O}\) and master symmetries ⋮ Wave fronts and cascades of soliton interactions in the periodic two dimensional Volterra system
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