Hydrodynamic type integrable equations on a segment and a half-line

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2008-10-01

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Guerses, Metin
Habibullin, Ismagil
Zheltukhın, Kostyantyn

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The concept of integrable boundary conditions is applied to hydrodynamic type systems. Examples of such boundary conditions for dispersionless Toda systems are obtained. The close relation of integrable boundary conditions with integrable reductions in multifield systems is observed. The problem of consistency of boundary conditions with the Hamiltonian formulation is discussed. Examples of Hamiltonian integrable hydrodynamic type systems on a segment and a semiline are presented. (C) 2008 American Institute of Physics. [DOI: 10.1063/1.2993008]

Subject Keywords

Mathematical Physics, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/47119

Journal

JOURNAL OF MATHEMATICAL PHYSICS

DOI

https://doi.org/10.1063/1.2993008

Collections

Department of Mathematics, Article

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Citation Formats

M. Guerses, I. Habibullin, and K. Zheltukhın, “Hydrodynamic type integrable equations on a segment and a half-line,” JOURNAL OF MATHEMATICAL PHYSICS, pp. 0–0, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47119.