Boyer-Finley equation and systems of hydrodynamic type

Classical and Quantum Gravity

Volumn 19, Issue 24, 2002, Pages

  Ferapontov, E V ^a   Korotkin, D A ^b   Shramchenko, V A ^b  

^a LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^b Dept of Electrical and Computer Engineering   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036913845     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/19/24/101     Document Type: Article

References (19)

1. Boyer C P and Finley J D 1982 Killing vectors in self-dual Euclidean Einstein spaces J. Math. Phys. 23 1126-30
2. Calderbank D M J and Tod K P 2001 Einstein metrics, hypercomplex structures and the Toda field equation Differ. Geom. Appl. 14 199-208
3. Ward R S 1990 Einstein-Weil spaces and SU(∞) Toda fields Class. Quantum Grav. 7 L95
4. Saveliev M V 1992 On the integrability problem of a continuous Toda system Theor. Math. Phys. 92 1024
5. Martina L, Sheftel M B and Winternitz P 2001 Group foliation and non-invariant solutions of the heavenly equation J. Phys. A: Math. Gen. 34 9243-63
6. Dunajski M, Mason L J and Tod K P 2001 Einstein-Weyl geometry, the dKP equation and twistor theory J. Geom. Phys. 37 63-92
7. Boyer C P and Winternitz P 1989 Symmetries of the self-dual Einstein equations. I. The infinite-dimensional symmetry group and its low-dimensional subgroups J. Math. Phys. 30 1081-94
8. Krichever I M 1989 Spectral theory of two-dimensional periodic operators and its applications Russ. Math. Surv. 44 145-225
9. Krichever I M 1994 The τ-function of the universal Whitham hierarchy, matrix models and topological field theories Commun. Pure Appl. Math. 47 437-75
10. Lei Yu 2001 Reductions of dispersionless integrable hierarchies PhD Thesis, Imperial College, London
11. Tsarev S P 1990 Geometry of Hamiltonian systems of hydrodynamic type. Generalized hodograph method Izv. Akad. Nauk USSR Math. 54 1048-68
12. Gibbons J and Tsarev S P 1996 Reductions of the Benney equations Phys. Lett. A 211 19
13. Gibbons J and Tsarev S P 1999 Conformal maps and reductions of the Benney equations Phys. Lett. A 258 263
14. Manas M and Alonso L M 2002 A hodograph transformation which applies to the heavenly equation Preprint nlin.SI/0209050
15. Guil F, Manas M and Alonso L M 2002 On the Whitham hierarchies: reductions and hodograph solutions Preprint nlin.SI/0209051
16. Kupershmidt B A and Manin Yu I 1977 Long wave equations with a free surface. I. Conservation laws and solutions Functional Analysis and its Applications 11 31-42
17. Gibbons J 1981 Collisionless Boltzmann equations and integrable moment equations Physica 3 503-11
18. Kodama Y and Konopelchenko B 2002 Deformations of plane algebraic curves and integrable systems of hydrodynamic type Preprint nlin.SI/0210002
19. Kokotov A and Korotkin D 2001 Some integrable systems on Hurwitz spaces Preprint math-ph/0112051