Integrable evolution equations on the \(N\)-dimensional sphere

DOI10.1007/S00220-002-0737-9zbMath1012.37049OpenAlexW162441696MaRDI QIDQ1871685

A. G. Meshkov, Vladimir Sokolov

Publication date: 4 May 2003

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

Full work available at URL: https://doi.org/10.1007/s00220-002-0737-9

zbMATH Keywords

classification problemssymmetry approach

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (23)

Three-point function in the minimal Liouville gravity ⋮ A class of integrable evolutionary vector equations ⋮ Vector hyperbolic equations with higher symmetries ⋮ On a class of integrable evolution vector equations of 3rd order ⋮ Differential substitutions for vectorial generalizations of the mKdV equation ⋮ Integrable evolution systems of geometric type ⋮ Results of symmetry classification of 2-field third-order evolutionary systems with a constant separant ⋮ The Cauchy problem of generalized Landau-Lifshitz equation into \(S ^{n }\) ⋮ New examples of the auto-Bäcklund transformations and nonlinear superposition formulas for vector evolution systems ⋮ Integrable vector isotropic equations admitting differential substitutions of first order ⋮ First-order differential substitutions for equations integrable on \(\mathbb S^{n}\) ⋮ Integrable vector evolution equations admitting zeroth-order conserved densities ⋮ Vector hyperbolic equations on the sphere possessing integrable third-order symmetries ⋮ New geometric flows on Riemannian manifolds and applications to Schrödinger-Airy flows ⋮ Superposition formulas for integrable vector evolution equations ⋮ On third order integrable vector Hamiltonian equations ⋮ On symmetry classification of third-order evolutionary systems of divergent type ⋮ Symmetries of Differential Equations and the Problem of Integrability ⋮ Superposition formulas for integrable vector evolutionary equations on a Sphere ⋮ On a classification of integrable vectorial evolutionary equations ⋮ Classification of integrable vector equations of geometric type ⋮ Auto-Bäcklund transformations and superposition formulas for solutions of Drinfeld-Sokolov systems ⋮ The vector generalization of the Landau-Lifshitz equation: Bäcklund transformation and solutions

This page was built for publication: Integrable evolution equations on the \(N\)-dimensional sphere