Finite dimensional local and nonlocal reductions of one type of hydrodynamic systems

DOI10.1016/S0034-4877(02)80065-9zbMath1127.37303MaRDI QIDQ1429204

Yarema A. Prykarpatsky

Publication date: 18 May 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

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)

Related Items (6)

Integrability analysis of a two-component Burgers-type hierarchy ⋮ Integrability of and differential-algebraic structures for spatially 1D hydrodynamical systems of Riemann type ⋮ New Dubrovin-type integrability theory applications of differential rings ⋮ On completely integrable Calogero-type discretizations of nonlinear Lax integrable dynamical systems and related Markov-type coadjoint orbits ⋮ Dark Equations and Their Light Integrability ⋮ Differential-algebraic and bi-Hamiltonian integrability analysis of the Riemann hierarchy revisited

Cites Work

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• On the infinite-dimensional noncommutative Lie-Bäcklund algebra associated with the equations of one-dimensional gas dynamics
• The classical shallow water equations: symplectic geometry
• Singularity formation in thin jets with surface tension
• Integrals of nonlinear equations of evolution and solitary waves

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