The Hamiltonian nonlocal invariant reduction of a Burgers equation and its Lie-algebraic structure

zbMATH Open1003.70015MaRDI QIDQ2745829

O. E. Hentosh, Mykola Prytula

Publication date: 23 January 2003

Published in: ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

zbMATH Keywords

conservation lawsBurgers equationinvariant functionalsLax integrabilitybi-Hamiltonian nonlinear systeminvariant nonlocal canonically symplectic manifoldKaup-Broer dynamical systemNovikov-Bogoyavlenskij type reductionsubmanifolds of critical points

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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