Integrability of multicomponent models in multidimensional cosmology

General Relativity and Gravitation

Volumn 29, Issue 5, 1997, Pages 599-612

  Gavrilov, V R ^a   Ivashchuk, V D ^a   Kasper, U ^b   Melnikov, V N ^a  

^a CENTER FOR GRAVITATION AND FUNDAMENTAL METROLOGY   (Russian Federation)

^b UNIVERSITY OF POTSDAM   (Germany)

Author keywords

Integrable systems; Toda lattices

Indexed keywords

EID: 0031286868     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018847419531     Document Type: Article

References (33)

1. Ivashchuk, V. D., and Melnikov, V. N. (1989). Phys. Lett. A136, 465.
2. Ivashchuk, V. D., Melnikov, V. N., and Zhuk, A. I. (1989). Nuovo Cimento B104, 575.
3. Ivashchuk, V. D., and Melnikov, V. N. (1990). Chinese Phys. Lett. 7, 97.
4. Ivashchuk, V. D. (1992). Phys. Lett. A170, 16.
5. Ivashchuk, V. D., and Melnikov, V. N. (1994). Int. J. Mod. Phys. D3, 795; (1995). Grav. Cosmol. 1, 133.
6. Ivashchuk, V. D., and Melnikov, V. N. (1994). Int. J. Mod. Phys. D3, 795; (1995). Grav. Cosmol. 1, 133.
7. Toda, M. (1970). Prog. Theor. Phys. 45, 174; 1981). Theory of Nonlinear Lattices (Springer-Verlag, Berlin).
8. Toda, M. (1970). Prog. Theor. Phys. 45, 174; (1981). Theory of Nonlinear Lattices (Springer-Verlag, Berlin).
9. Zhuk, A. I. (1992). Phys. Rev. D45, 1192.
10. Ivashchuk, V. D., and Melnikov, V. N. (1995). Class. Quantum Grav. 12, 809.
11. Gavrilov, V. R., Ivashchuk, V. D. and Melnikov, V. N. (1995). J. Math. Phys. 36, 5829.
12. Stanyukovich, K. P., and Melnikov, V. N. (1983). Hydrodynamics, Fields and Constants in the Theory of Gravitation (Moscow, Energoatomizdat), in Russian.
13. Bleyer, U., and Liebscher, D.-E. (1987). Ann. Phys. (Leipzig) 44, 81; Bleyer, U., Liebscher, D.-E., and Polnarev, A. G. (1991). Class. Quantum Grav. 8, 477.
14. Bleyer, U., and Liebscher, D.-E. (1987). Ann. Phys. (Leipzig) 44, 81; Bleyer, U., Liebscher, D.-E., and Polnarev, A. G. (1991). Class. Quantum Grav. 8, 477.
15. Belinskii, V. A., and Khalatnikov, I. M. (1972). Zh.E.T.F. 63, 1121.
16. Barrow, J. D., and Stein-Schabes, J. (1985). Phys. Rev. D32, 1595.
17. Demaret, J., Henneaux, M., and Spindel, P. (1985). Phys. Lett. B164, 27.
18. Szydłowski, M., Szczesny, J., and Biesiada, M. (1987). Gen. Rel. Grav. 19, 1181.
19. Szydłowski, M., and Pajdosz, G. (1989). Class. Quantum Grav. 6, 1391.
20. Ivashchuk, V. D., Kirillov, A. A., and Melnikov, V. N. (1994). Pis'ma Zh.E.T.F. 60 No 4, 225; 1994). Izv. Vuzov, Fizika No 11, in Russian.
21. Ivashchuk, V. D., Kirillov, A. A., and Melnikov, V. N. (1994). Pis'ma Zh.E.T.F. 60 No 4, 225; (1994). Izv. Vuzov, Fizika No 11, in Russian.
22. Szydłowski, M. (1994). J. Math. Phys. 35, 1850.
23. Szydłowski, M., Heller, M., and Sarin, W. (1996). J. Math. Phys. 37, 346.
24. Szydłowski, M. and Szczesny, J. (1994). Phys. Rev. D50, 819.
25. Szydłowski, M., Krawiec, A. (1996). Phys. Rev. D53, 6893.
26. Biesiada, M., and Szydłowski, M. (1991). Phys. Lett. A160, 123.
27. Bogoyavlensky, O. I. (1976). Commun. Math. Phys. 51, 201.
28. Kostant, B. (1979). Advances in Math. 34, 195.
29. Olshanetsky, M. A., and Perelomov, A. M. (1979). Invent. Math. 54, 261.
30. Polyanin, A. D., and Zaitsev, V. F. (1995). Handbook on Exact Solutions for Ordinary Differential Equations (CRC Press, Boca Raton).
31. Cremmer, E., Julia, B., and Scherk, J. (1978). Phys. Lett. B76, 409.
32. Duff, M. J. (1996). "M-Theory (the Theory Formerly Known as Strings)." Preprint hep-th/9608117; Lü, H., Pope, C. N., and Xu, K. W. (1996). "Liouville and Toda solitons in M-theory." Preprint hep-th/9604058.
33. Duff, M. J. (1996). "M-Theory (the Theory Formerly Known as Strings)." Preprint hep-th/9608117; Lü, H., Pope, C. N., and Xu, K. W. (1996). "Liouville and Toda solitons in M-theory." Preprint hep-th/9604058.