Painlevé analysis and integrability aspects of some nonlinear partial differential equations

Pramana - Journal of Physics

Volumn 48, Issue 1, 1997, Pages 143-161

  Porsezian, K ^a,b  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b ANNA UNIVERSITY   (India)

Author keywords

Integrability; Lax pair; Painlev analysis; Solitons

Indexed keywords

INTEGRATION; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; SOLITONS;

BACKLUND TRANSFORMATION; LAX PAIR; PAINLEVE ANALYSIS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0001628064     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02845628     Document Type: Article

References (56)

1. S Kovalevskaya, Acta Math. 12, 177, (1889); 14, 81(1889)
2. S Kovalevskaya, Acta Math. 12, 177, (1889); 14, 81(1889)
3. P Painlevé, Oeuvres, Vol. I, CNRS, Paris (1973)
4. E L Ince, Ordinary differential equations (Dover, New York, 1956)
5. T T Wu, B M McCoy, C A Tracy and E Barouch, Phys. Rev. B13, 316 (1976)
6. M Tabor and J Weiss, Phys. Rev. A24, 2157 (1981)
7. Y F Chang, M Tabor and J Weiss, J. Math. Phys. 23, 531 (1982)
8. T Bountis, H Segur and F Vivaldi, Phys. Rev. A25, 1257 (1982)
9. A Ramani, B Dorizzi and B Grammaticos, Phys. Rev. Lett. 49, 1539 (1982)
10. M J Alowitz, D J Kaup, A C Newell and H Segur, Stud. Appl. Math. Phys. 53, 249 (1974)
11. R Hirota, in Solitons edited by R K Bullough and P J Caudrey (Springer, Berlin, 1980)
12. M J Alowitz, A Ramani and H Segur, J. Math. Phys. 27, 1006 (1980)
13. J Weiss, M Tabor and G Carnevale, J. Math. Phys. 24, 532 (1983)
14. M D Kruskal, Private Communication (1982)
15. J Weiss, J. Math. Phys. 24, (1983), 1405, 532; 25, (1984), 13,2226; 26, (1985), 258, 2174 (1986)
16. J Weiss, J. Math. Phys. 24, (1983), 1405, 532; 25, (1984), 13,2226; 26, (1985), 258, 2174 (1986)
17. J Weiss, J. Math. Phys. 24, (1983), 1405, 532; 25, (1984), 13,2226; 26, (1985), 258, 2174 (1986)
18. J Weiss, J. Math. Phys. 24, (1983), 1405, 532; 25, (1984), 13,2226; 26, (1985), 258, 2174 (1986)
19. A C Newell, M Tabor and Y B Zeng, Physica D29, 1 (1987)
20. F Lund and T Regge, Phys. Rev. D14, 1524 (1976)
21. K Pohlymeyer, Com. Math. Phys. 46, 207 (1977)
22. B S Getmanov, JINR Preprint E2-11093, Dubna 1977
23. K Porsezian, Chaos, solitons and fractals (Submitted)
24. P Goldstein and E Infeld, Phys. Lett. A103, 8 (1984)
25. K Porsezian and K Nakkeeran, J. Mod. Opt. 42, 1953 (1995)
26. K Porsezian and K Nakkeeran, Phys. Rev. Lett. 76, 3955 (1996)
27. S Liu and W Z Wang, Phys. Rev. E49, 5726 (1994)
28. K Porsezian, Pure. App. Opt. 5, L345 (1996)
29. F Cariello and M Tabor, Physica D39, 77 (1989)
30. M Lakshmanan and P Kaliappan, J. Math. Phys. 24, 795 (1983)
31. J D Gibbon and M Tabor, J. Math. Phys. 26, 1956 (1985)
32. R Conte, A P Fordy and A Pickering, Physica D69, 33 (1993)
33. R Conte, Phys. Lett. A140, 383 (1989)
34. A Pickering, J. Math. Phys. 37, 1894 (1996)
35. F Calogero and A Degasperis, Lett. Nuovo Cimento 22, 139, 271 421 (1978)
36. R Balakrishnan, Phys. Rev. A32, 1144 (1985)
37. H H Chen and C S Liu, Phys. Fluids 21, 377 (1978)
38. S P Burtsev, V E Zakharov and A V Mikhailov, Teor. Math. Fiz. 70, 323 (1987)
39. M Daniel, K Porsezian and M Lakshmanan, J. Math. Phys. 35, 6498 (1994)
40. K Porsezian and K Nakkeeran, Phys. Lett. A206, 183 (1995)
41. K Porsezian, M Daniel and R Bharathikannan, Phys. Lett. A156, 206 (1991)
42. K Porsezian and M Lakshmanan, J. Math. Phys. 32, 2923 (1992)
43. K Porsezian, Phys. Lett. A191, 229 (1994)
44. K Porsezian, Phys. Lett. A221, 163 (1996)
45. W H Steeb and J A Louw, Phys. Lett. A113, 61 (1985)
46. S Puri, Phys. Lett. A107, 359 (1985)
47. N Joshi, Phys. Lett. A125, 456 (1987)
48. L Halavaty, J. Phys. Soc. Japan 55, 1405 (1995); Phys. Lett. A128, 335 (1988)
49. L Halavaty, J. Phys. Soc. Japan 55, 1405 (1995); Phys. Lett. A128, 335 (1988)
50. W H Steeb, M Kloke, B M Spieker and W Oevel, J. Phys. Lett. A128, 335 (1988)
51. N Nirmala, M J Vedan and B V Baby, J. Math. Phys. 27, 2640, 2644 (1986) P A Clarkson, Proc. R. Soc. Edinb. A109, 109 (1988)
52. N Nirmala, M J Vedan and B V Baby, J. Math. Phys. 27, 2640, 2644 (1986) P A Clarkson, Proc. R. Soc. Edinb. A109, 109 (1988)
53. R Radha and M Lakshmanan, J. Phys. A28, 6977 (1995)
54. K Porsezian and A Uthyakumar, Phys. Lett. A183, 371 (1993)
55. W Oevel and W H Steeb, Phys. Lett. A103, 239 (1984)
56. S Ganesan and M Lakshmanan, J. Phys. A20, L1147 (1988)