Darboux system: Liouville reduction and an explicit solution

DOI10.1134/S0081543818060123zbMath1439.35401OpenAlexW2908273111WikidataQ128658785 ScholiaQ128658785MaRDI QIDQ2280445

A. K. Pogrebkov, R. Ch. Kulaev, A. B. Shabat

Publication date: 18 December 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818060123

zbMATH Keywords

explicit solutionDarboux systemChristoffel symbolLamé coefficientsLiouville reduction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Moduli problems for topological structures (58D29) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (4)

Darboux system and separation of variables in the Goursat problem for a third order equation in \(\mathbb{R}^3\) ⋮ Hamiltonian operators with zero-divergence constraints ⋮ Hirota difference equation and Darboux system: mutual symmetry ⋮ On One Class of Solutions of the Darboux System

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