Some aspects of a gradient holonomic algorithm in the theory of integrability of nonlinear dynamical systems and computer algebra problems

DOI10.1007/BF01066906zbMath0734.58025OpenAlexW2062950655MaRDI QIDQ810965

B. M. Fil', Anatoliy K. Prykarpatsky, Yu. O. Mitropol's'kii

Publication date: 1991

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01066906

zbMATH Keywords

conservation lawsintegrable systemsrecursion operatorLax pairHamiltonian dynamical systems

Mathematics Subject Classification ID

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (1)

On symmetry analysis of differential systems on functional manifolds

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Symmetries and integrability of the cylindrical Korteweg–de Vries equation
• Unnamed Item

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