Integrable systems and metrics of constant curvature

Journal of Nonlinear Mathematical Physics

Volumn 9, Issue , 2002, Pages 173-191

  Pavlov, Maxim ^a  

^a LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345531326     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2002.9.s1.15     Document Type: Article

References (12)

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2. B.A.Dubrovin, S.P.Novikov, Hamiltonian formalism for one-dimensional systems of the hydrodynamic type and the Bogolubov-Whitham averaging method, Dokl. Akad. Nauk SSSR, 270 (1983) No.4, 781-785.
3. S.P.Tsarev, Poisson brackets and one-dimensional Hamiltonian systems of hydrodynamic type. Russian Akad.Sci.Dokl.Math. 282 (1985), No.3, 534-537.
4. Mokhov O.I., Ferapontov E.V., Hamiltonian operators of Hydrodynamic type associated with constant curvature metrics, Usp.Math.Nauk, v.50, No.3 (1990), 191-192, translated as Russian Math.Surveys.
5. Maxim V.Pavlov, Elliptic coordinates and multi-Hamiltonian structures of systems of hydrodynamic type, Russian Acad.Sci. Dokl.Math. Vol.50 (1995), No.3, 374-377.
6. Ferapontov E.V., Nonlocal Hamiltonian Operators of Hydrodynamic Type: Differential Geometry and Applications, Amer. Math. Soc. Transl. (2) Vol.170, 1995.
7. Maxim V.Pavlov, Relationships between Differential Substitutions and Hamiltonian Structures of Korteweg-de Vries equation. Phys.Lett.A 243 (1998) 295-300.
8. O.I.Mokhov, Differential Geometry of Symplectic and Poisson Structures on Loop Spaces of Smooth manifolds, and Integrable Systems, Proceedings of the Steklov Institute of Mathematics, V.217 (1997), pp.91-125.
9. A.B.Borisov, M.Pavlov, S.Zykov, Prolifiration scheme for Kaup-Boussinesq system, Physica D 2649 (2001) 1-6.
10. Ferapontov E.V., Differential geometry of nonlocal Hamiltonian operators of hydrodynamic type, Funktional. Anal. i Prilozhen.25 (1991), No.3, 37-49; English transl. in Functional Anal. Appl. 25 (1991).
11. B. Enriquez, A. Orlov, V. Rubtsov, Higher Hamiltonian structures on the KdV phase space (the sl2 case), JETP Letters, 58:8 (1993), 677-83.
12. Maxim V.Pavlov, Four Lagrangian representations for the extended Harry-Dym equation. to be published.