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.
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This research was supported in part by a grant from the Russian Science Foundation (Project No. 15-11-20013).
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 194, No. 2, pp. 320–330, February, 2018.
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Makridin, Z.V. An Effective Algorithm for Finding Multidimensional Conservation Laws for Integrable Systems of Hydrodynamic Type. Theor Math Phys 194, 274–283 (2018). https://doi.org/10.1134/S0040577918020071
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DOI: https://doi.org/10.1134/S0040577918020071