This article is cited in 4 papers

On first-order conservation laws for systems of hydronamic type equations

E. V. Ferapontov^ab, R. A. Sharipov<sup>ab

a</sup> Bashkir State University
^b Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: We consider conservation laws of the first order quadratic in derivatives related to systems of equations of hydrodynamic type. We derive the defining relations for their densities in a form invariant with respect to the pointwise change of variables. Examples of nondiagonalizable systems admitting quadratic conservation laws are given.

Received: 17.09.1995

DOI: 10.4213/tmf1181

 English version: Theoretical and Mathematical Physics, 1996, 108:1, 937–952

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