An analog of the variational derivative and constructive necessary integrability condition for hyperbolic equation

S. Ya. Startsev

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An analog of the variational derivative and constructive necessary integrability condition for hyperbolic equation

S. Ya. Startsev

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Abstract

An algorithm is constructed which allows to express conserved flows of hyperbolic equations in terms of corresponding conserved densities and to eliminate these flows from conservation laws of hyperbolic equations. The application of this algorithm to canonical conservation laws gives constructive necessary integrability conditions of hyperbolic equations in terms of the generalized Laplace invariants of these equations.

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S. Ya. Startsev. 1997-03-04. An analog of the variational derivative and constructive necessary integrability condition for hyperbolic equation. https://arxiv.org/abs/solv-int/9703002

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