Email this article An Effective Algorithm for Finding Multidimensional Conservation Laws for Integrable Systems of Hydrodynamic Type
- Authors: Makridin Z.V.1,2
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Affiliations:
- Novosibirsk State University
- Lavrentyev Institute of Hydrodynamics RAS
- Issue: Vol 194, No 2 (2018)
- Pages: 274-283
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171640
- DOI: https://doi.org/10.1134/S0040577918020071
- ID: 171640
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Abstract
We study a new property of integrable systems, the existence of infinitely many local three-dimensional conservation laws for pairs of integrable two-dimensional hydrodynamic chains. We describe an effective algorithm for successively computing an infinite set of three-dimensional conservation laws for the Benney pair of commuting flows.
About the authors
Z. V. Makridin
Novosibirsk State University; Lavrentyev Institute of Hydrodynamics RAS
Author for correspondence.
Email: makridin@hydro.nsc.ru
Russian Federation, Novosibirsk; Novosibirsk
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