A class of integrable evolutionary vector equations
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Publication:844294
DOI10.1007/S11232-005-0047-4zbMath1178.37068OpenAlexW1967400609MaRDI QIDQ844294
Publication date: 18 January 2010
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11232-005-0047-4
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)
Related Items (14)
On a class of integrable evolution vector equations of 3rd order ⋮ Differential substitutions for vectorial generalizations of the mKdV equation ⋮ Results of symmetry classification of 2-field third-order evolutionary systems with a constant separant ⋮ 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 ⋮ Superposition formulas for vector generalizations of the mKdV equation ⋮ 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
Cites Work
- Integrable evolution equations on the \(N\)-dimensional sphere
- Vector-matrix generalizations of classical integrable equations
- Classification of integrable divergent \(N\)-component evolution systems
- Classification of integrable polynomial vector evolution equations
- Multicomponent generalization of the hierarchy of the Landau-Lifshits equation
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