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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 7, Pages 251–262
(Mi fpm1016)
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This article is cited in 6 scientific papers (total in 6 papers)
On the variational integrating matrix for hyperbolic systems
S. Ya. Startsev Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Abstract:
We obtain a necessary and sufficient condition for a hyperbolic system to be an Euler–Lagrange system with a first-order Lagrangian up to multiplication by some matrix. If this condition is satisfied and an integral of the system is known to us, then we can construct a family of higher symmetries that depend on an arbitrary function. Also, we consider the systems that satisfy the above criterion and that possess a sequence of the generalized Laplace invariants with respect to one of the characteristics; then we prove that the generalized Laplace invariants with respect to the other characteristic are uniquely defined.
Citation:
S. Ya. Startsev, “On the variational integrating matrix for hyperbolic systems”, Fundam. Prikl. Mat., 12:7 (2006), 251–262; J. Math. Sci., 151:4 (2008), 3245–3253
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https://www.mathnet.ru/eng/fpm1016 https://www.mathnet.ru/eng/fpm/v12/i7/p251
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Abstract page: | 335 | Full-text PDF : | 126 | References: | 31 | First page: | 1 |
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