Quasi-periodic solutions of the integrable dynamical systems related to Hill's equation

DOI10.1007/BF00402324zbMath0691.58022MaRDI QIDQ582661

Nikolay A. Kostov

Publication date: 1989

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

integrable systemsquasi-periodic solutionsHill's equationNeumann-type systemsGarnier- type systems

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)

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On the geometry of elliptic solitons, The diagonal two-point correlations of the Ising model on the anisotropic triangular lattice and Garnier systems, Integrable deformations of integrable symplectic maps, Consecutive Rosochatius deformations of the Garnier system and the Hénon-Heiles system, Integrable Rosochatius deformations of the restricted soliton flows, Quasiperiodic and periodic solutions for vector nonlinear Schrödinger equations, Consecutive Rosochatius deformations of the Neumann system, The generalized Kupershmidt deformation for the fifth-order coupled KdV equations hierarchy, Differential Resultant, Computer Algebra and Completely Integrable Dynamical Systems, Exact solutions for a class of integrable Hénon–Heiles-type systems, CYCLIC COVERINGS OF ABELIAN VARIETIES AND THE GENERALIZED YANG–MILLS SYSTEM FOR A FIELD WITH GAUGE GROUP SU(2), A hierarchy of Garnier-Rosochatius systems, Unnamed Item

Cites Work

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