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Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability
preprint
posted on 2005-07-29, 14:55 authored by Evgeny FerapontovEvgeny Ferapontov, Karima KhusnutdinovaKarima KhusnutdinovaA (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 effectively reconstruct
additional differential constraints which, when added to the equation, make it an
integrable system in fewer dimensions (if consistent).
History
School
- Science
Department
- Mathematical Sciences
Pages
178557 bytesPublication date
2003Notes
This pre-print has been submitted, and accepted, to the journal, Jounrnal of Mathematical Physics [© American Institute of Physics]. The definitive version: FERAPONTOV, E.V. and KHUSNUTDINOVA, K.R., 2004. Hydrodynamic reductions of multidimensional dispersionless PDEs: The test for integrability. Journal of Mathematical Physics, 45(6), pp. 2365-2377, is available at: http://jmp.aip.org/.Language
- en