An Effective Algorithm for Finding Multidimensional Conservation Laws for Integrable Systems of Hydrodynamic Type
- Autores: Makridin Z.V.1,2
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Afiliações:
- Novosibirsk State University
- Lavrentyev Institute of Hydrodynamics RAS
- Edição: Volume 194, Nº 2 (2018)
- Páginas: 274-283
- Seção: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171640
- DOI: https://doi.org/10.1134/S0040577918020071
- ID: 171640
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Resumo
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.
Sobre autores
Z. Makridin
Novosibirsk State University; Lavrentyev Institute of Hydrodynamics RAS
Autor responsável pela correspondência
Email: makridin@hydro.nsc.ru
Rússia, Novosibirsk; Novosibirsk
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