On applications of Faà-di-Bruno formula

DOI10.13108/2017-9-3-131zbMath1463.37041OpenAlexW2779185017MaRDI QIDQ5136714

Magomed Khochalaevich Èfendiev, A. B. Shabat

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa394

zbMATH Keywords

differential polynomialsintegrability conditionsFaà-di-Bruno formula

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (2)

Products of eigenfunctions and Wronskians ⋮ On curves with affine-congruent arcs in an \(n \)-dimensional affine space

Cites Work

• On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space
• On the integrability of homogeneous scalar evolution equations
• Dressing chains and the spectral theory of the Schrödinger operator
• Generalization of the formula of Faa di Bruno for a composite function with a vector argument
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