Darboux system and separation of variables in the Goursat problem for a third order equation in \(\mathbb{R}^3\)

DOI10.3103/S1066369X20040040zbMath1445.37048OpenAlexW3023979337MaRDI QIDQ2191891

R. Ch. Kulaev, A. B. Shabat

Publication date: 26 June 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x20040040

zbMATH Keywords

integrable systemsHamiltonian systemsystems of hydrodynamic type equationsthree-dimensional Darboux systemthree-dimensional Goursat problem

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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Метод Римана для уравнений с доминирующей частной производной

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