On a class of three-dimensional integrable Lagrangians

We characterize non-degenerate Lagrangians of the form Z f(ux, uy, ut) dx dy dt such that the corresponding Euler-Lagrange equations (fux )x+(fuy )y+(fut )t = 0 are integrable by the method of hydrodynamic reductions. The integrability conditions constitute an over-determined system of fourth order...

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Bibliographic Details
Main Authors: Evgeny Ferapontov, Karima Khusnutdinova, S.P. Tsarev
Format: Default Preprint
Published: 2004
Subjects:
Other mathematical sciences not elsewhere classified
Foundations of quantum mechanics
Multi-dimensional dispersionless integrable systems
hydrodynamic reductions
pseudopotentials
Quantum Mechanics
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/236
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