A new construction of recursion operators for systems of the hydrodynamic type

Theoretical and Mathematical Physics

Volumn 122, Issue 1, 2000, Pages 29-38

  Fordy, A P ^a   Gurel T B ^b  

^a UNIVERSITY OF LEEDS   (United Kingdom)

^b BILKENT UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033633224     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02551167     Document Type: Article

References (13)

1. 1. B. A. Dubrovin and S. P. Novikov, Sov. Math. Dokl., 27, 665-669 (1983).
2. 2. S. P. Tsarev, Math. USSR Izv., 37, 397-419 (1991).
3. 3. M. B. Sheftel, Theor. Math. Phys., 56, 878-891 (1983).
4. 4. V. M. Teshukov, "Hyperbolic systems admitting a nontrivial Lie-Bäcklund group," Preprint No. 106, LIIAN, Leningrad (1989) [in Russian].
5. 5. M. B. Sheftel, "Generalized hydrodynamic-type systems," in: CRC Handbook of Lie Group Analysis of Differential Equations (N. H. Ibragimov, ed.) (Vol. 3, No. 7), CRC Press, New York (1996), pp. 169-189.
6. 6. E. G. Kalnins, S. Benenti, and W. Miller, Jr., J. Math. Phys., 38, 2345-2365 (1997).
7. 7. E. T. Copson, Partial Differential Equations, Cambridge Univ. Press, Cambridge (1975).
8. 8. P. J. Olver, Application of Lie Groups to Differential Equations, Springer, New York (1986).
9. 9. E. V. Ferapontov, "Hydrodynamic-type systems," in: CRC Handbook of Lie Group Analysis of Differential Equations (N. H. Ibragimov, ed.) (Vol. 1, No. 14), CRC Press, New York (1994), pp. 303-331.
10. 10. E. V. Ferapontov and A. P. Fordy, J. Geom. Phys., 21, 169-182 (1997).
11. 11. E. V. Ferapontov and M. V. Pavlov, Physica D, 52, 211-219 (1991).
12. 12. D. Fairlie and I. A. B. Strachan, Physica D, 90, 1-8 (1996).
13. 13. J. Gibbons and S. P. Tsarev, Phys. Lett. A, 211, 19-24 (1996).