scientific article

zbMath0546.58031MaRDI QIDQ3336418

A. G. Reyman, Michaael A. Semenov-Tian-Shansky

Publication date: 1984

Full work available at URL: https://eudml.org/doc/188307

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zbMATH Keywords

Hamiltonian systemKadomtsev-Petviashvili equationAdler-Kostant's shema

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Algebraic proofs for shallow water bi-Hamiltonian systems for three cocycle of the semi-direct product of Kac-Moody and Virasoro Lie algebras ⋮ Toda lattice hierarchy and conservation laws ⋮ Looped cotangent Virasoro algebra and nonlinear integrable systems in dimension \(2+1\) ⋮ New integrable differential-difference and fractional nonlinear dynamical systems and their algebro-analytical properties ⋮ New fractional nonlinear integrable Hamiltonian systems ⋮ A description of Lax type integrable dynamical systems via the Marsden-Weinstein reduction method ⋮ Central extension approach to integrable field and lattice-field systems in \((2+1)\)-dimensions

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