ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 68,   2   (1999)
pp.   243-247
EXISTENCE OF CONSERVATION LAWS IN NILPOTENT CASE
M. MEHDI

Abstract.  Using the Spencer-Goldschmidt version of the Cartan-Kahler theorem, we prove the local existence of conservation laws for analytical quasi-linear systems of two independent variables in the nilpotent and $2$-cyclic case.

AMS subject classification.  35G20, 35N10; Secondary 58F07, 58G30
Keywords.  Conservation laws, completely integrable systems, Cartan-Kahler theorem, Nijenhuis-manifolds
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