Darboux System and Separation of Variables in the Goursat Problem for a Third Order Equation in ℝ3-Reference-Cited by-同舟云学术

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Darboux System and Separation of Variables in the Goursat Problem for a Third Order Equation in ℝ3

Published:2020-04 Issue:4 Volume:64 Page:35-43
ISSN:1066-369X
Container-title:Russian Mathematics
language:en
Short-container-title:Russ Math.

Author:

Kulaev R. Ch.,Shabat A. B.

Publisher

Allerton Press

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.3103/S1066369X20040040.pdf

Reference16 articles.

1. Tsarev, S.P. “The geometry of hamiltonian systems of hydrodynamic type. The generalized hodograph method”, Math. USSR-Izv. 37 (2), 397–419 (1991).

2. Zakharov, V.E., Manakov, S.V. “Construction of higher-dimensional nonlinear integrable systems and of their solutions”, Funct. Anal. Appl. 19 (2), 89–101 (1985).

3. Zakharov, V.E. “Description of the n-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type, I. Integration of the Lame equations”, Duke Math. J. 94 (1), 103–139 (1998).

4. Dryuma, V.S. “Geometrical properties of the multidimensional nonlinear differential equations and the Finsler metrics of phase spaces of dynamical systems”, Theor. Math. Physics. 99 (2), 241–249 (1994).

5. Bogdanov, L.V., Konopelchenko, B.G. “Generalized integrable hierarchies and Combescure symmetry transfor-mations”, J. Phys. A: Math, and General. 30 (5), 1591–1603 (1997).

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1. Метод Римана для уравнений с доминирующей частной производной;Вестник Самарского государственного технического университета. Серия «Физико-математические науки»;2021

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