Lie symmetries, kac-moody-virasoro algebras and integrability of certain (2+1)-dimensional nonlinear evolution equations

Journal of Nonlinear Mathematical Physics

Volumn 5, Issue 2, 1998, Pages 190-211

  Senthil Velan, M ^a   Lakshmanan, M ^a  

^a BHARATHIDASAN UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008071969     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.1998.5.2.10     Document Type: Article

References (35)

1. Ablowitz, M.J., and Clarkson, P.A., 1990. Solitons, Nonlinear Evolution Equations and Inverse Scattering Transform, Cambridge:Cambridge University Press.
2. Konopelchenko, B.G., 1993. Solitons in Multidimensions, Singapore:World Scientific.
3. Olver, P.J., 1986. Applications of Lie Groups to Differential Equations, New York:Springer.
4. Bluman, G.W., and Kumei, S., 1989. Symmetries and Differential Equations, New York:Springer.
5. Stephani, H., 1990. Differential Equations:Their Solutions Using Symmetries, Cambridge:Cambridge University Press.
6. Ibragimov, N.H., 1996. CRC Handbook of Lie Group Analysis of Differential Equations, Boca Raton:CRC Press.
7. Hill, J.M., 1982. Solutions of Differential Equations by Means of One-parameter Groups, Boston:Bitman.
8. Sesahdri, R., and Na, T.Y., 1985. Group Invariance in Engineering Boundary Value Problems, New York:Springer.
9. Lakshmanan, M., and Kaliappan, P., 1983. J. Math. Phys., 24:795
10. Clarkson, P.A., 1995. Chaos, Solitons & Fractals, 5:2261
11. Ames, W.F., and Rogers, C., eds. 1992. Nonlinear Equations in the Applied Sciences, Boston:Academic Press. Chapter II
12. David, D., Kamran, N., Levi, D., and Winternitz, P., 1986. J. Math. Phys., 27:1225
13. Champagne, B., and Winternitz, P., 1988. J. Math. Phys., 29:1
14. Martina, L., and Winternitz, P., 1989. Ann. Phys. (N.Y.), 196:231
15. Levi, D., and Winternitz, P., 1988. Phys. Lett. A, 129:165
16. Levi, D., Menyuk, C.R., and Winternitz, P., 1994. Phys. Rev. A, 49:2844
17. Lakshmanan, M., and Senthil, Velan M., 1995. J. Nonlin. Math. Phys, 3:24
18. Senthil, Velan M., and Lakshmanan, M., 1997. J. Nonlin. Math. Phys., 4:251
19. Faucher, M., and Winternitz, P., 1993. Phys. Rev. E, 48:3066
20. Paquin, G., and Winternitz, P., 1990. Physica D, 46:122
21. Bogoyavlenskii, O.I., 1990. Russian Math. Surveys, 45:1
22. Strachan, I.A.B., 1992. Inv. Prob., 8:L21
23. Radha, R., and Lakshmanan, M., 1994. Inv. Prob., 10:L29
24. Radha, R., and Lakshmanan, M., 1995. Phys. Lett. A, 197:7 J. Phys. A:Math. Gen., 1997, V.30, 3229
25. Head, A., 1993. Comput. Phys. Comm., 77:241
26. Novikov, S.P., and Veselov, A.P., 1986. Physica D, 18:267
27. Boiti, M., Martina, L., Manna, M., and Pempinelli, F., 1986. Inv. Prob., 2:271
28. Radha, R., and Lakshmanan, M., 1994. J. Math. Phys., 35:4746
29. Fokas, A.S., 1994. Inv. Prob., 10:L19
30. Radha, R., and Lakshmanan, M., 1997. Chaos, solitons & Fractals, 8:17
31. Konopelchenko, B.G., and Rogers, C., 1993. J. Math. Phys., 34:214
32. Radha, R., and Lakshmanan, M., 1996. J. Phys. A, 29:1551
33. Chakravarthy, S., Kent, S.L., and Newman, E.I., 1995. J. Math. Phys., 36:763
34. Boiti, M., Leon, J.J.P., and Pempinelli, F., 1987. Inv. Prob., 3:371
35. Radha, R., and Lakshmanan, M., 1997. J. Math. Phys., 38:292