Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability

A (d + 1)-dimensional dispersionless PDE is said to be integrable if its ncomponent hydrodynamic reductions are locally parametrized by (d − 1)n arbitrary functions of one variable. Given a PDE which does not pass the integrability test, the method of hydrodynamic reductions allows one to effectivel...

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Bibliographic Details
Main Authors: Evgeny Ferapontov, Karima Khusnutdinova
Format: Default Preprint
Published: 2003
Subjects:
Other mathematical sciences not elsewhere classified
multi-dimensionsal dispersionless systems
hydrodynamic reductions
integrability
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/299
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