On a classification of integrable vectorial evolutionary equations
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Publication:3623798
DOI10.2991/jnmp.2008.15.2.8zbMath1162.35453OpenAlexW2118752133MaRDI QIDQ3623798
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Publication date: 23 April 2009
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2991/jnmp.2008.15.2.8
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)
Related Items (8)
Differential substitutions for vectorial generalizations of the mKdV equation ⋮ 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 ⋮ On construction of symmetries and recursion operators from zero-curvature representations and the Darboux-Egoroff system ⋮ Classification of integrable vector equations of geometric type
Cites Work
- A class of integrable evolutionary vector equations
- Jordan algebras and generalized Korteweg-de Vries equations
- 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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