Integrable equations in 2 + 1 dimensions: deformations of dispersionless limits

DOI10.1088/1751-8113/42/34/345205zbMath1180.35443arXiv0903.3586OpenAlexW3099087137MaRDI QIDQ3648915

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Publication date: 1 December 2009

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

Full work available at URL: https://arxiv.org/abs/0903.3586

zbMATH Keywords

classificationKadomtsev-Petviashvili equationintegrable equationsHarry Dym equationVeselov-Novikov equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items (7)

Integrable systems of the intermediate long wave type in \(2 + 1\) dimensions ⋮ Dispersive deformations of Hamiltonian systems of hydrodynamic type in \(2+1\) dimensions ⋮ New integrable (\(3+1\))-dimensional systems and contact geometry ⋮ On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras ⋮ Nonlinear quantum-dynamical system based on the Kadomtsev-Petviashvili II equation ⋮ On the classification of scalar evolutionary integrable equations in 2 + 1 dimensions ⋮ Characteristic Lie algebras of integrable differential-difference equations in 3D

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