Exact solutions of the one-dimensional generalized modified complex Ginzburg-Landau equation

Chaos, Solitons and Fractals

Volumn 17, Issue 5, 2003, Pages 847-860

  Yomba, Emmanuel ^a,b   Kofane, Timoléon Crépin ^b  

^a UNIVERSITY OF NGAOUNDERE   (Cameroon)

^b UNIVERSITY OF YAOUNDÉ I   (Cameroon)

Author keywords

[No Author keywords available]

Indexed keywords

LARGE SCALE SYSTEMS; LINEARIZATION; PARAMETER ESTIMATION; WAVE EQUATIONS;

EXACT SOLUTIONS;

CHAOS THEORY;

EID: 0037411781     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(02)00488-5     Document Type: Article

References (65)

1. Lamb G.L. Jr. Elements of soliton theory. 1980;Wiley-interscience.
2. Dodd R.K., Eilbeck J.C., Gibbon J.D., Morris H.C. Solitons and nonlinear wave equation. 1982;Academic Press.
3. Jeffrey A., Kawahara T. Asymptotic Methods in nonlinear wave theory. 1982;Pitman Publishing Inc.
4. Ablowitz M.J., Segur H. Solitons and inverse scattering method. 1981;SIAM, Philadelphia, PA.
5. Florjanczyk M., Gagnon L. Phys. Rev. A. 41:1990;4478.
6. Akhmediev N.N., Eleonskii V.M., Kulagin N.E. Theor. Mat. Fiz. 72:1987;183.
7. Mihalache D., Lederer F., Paboiu D.M. Phys. Rev. A. 47:1993;3285.
8. Kaup D.J. Phys. Rev. A. 44:1991;4582.
9. Tsurui T. Prog. Theor. Phys. 48:1977;1196.
10. Corones J. J. Phys. Rev. B. 16:1977;1763.
11. Muroya K., Saitoh N., Watanabe S. J. Phys. Soc. Jpn. 5:1982;1024.
12. Ndohi R., Kofané T.C. Phys. Lett. A. 1991;154,377.
13. Ketchakeu J., Kofané T.C., Zibi A. Physica Scripta. 44:1991;505.
14. Pelap F.B., Kofané T.C. Physica Scripta. 57:1998;410.
15. Agrawal G.P. Nonlinear fiber optics. 2nd ed. 1995;Academic, New York.
16. Mitschke F.M., Mollenauer L.K. Opt. Lett. 11:1986;659.
17. Tai K., Hasegawa A., Bekki N. Opt. Lett. 13:1988;392.
18. Stolen R.H., Tomlinson W.J. J. Opt. Soc. Am. B. 9:1992;565.
19. Zysset B., Beaud P., Hodel W. Appl. Phys. Lett. 50:1987;1027.
20. Chernikov S.V., Mamyshev P.V. J. Opt. Soc. Am. B. 8:1991;1633.
21. Kodama Y., Hasegawa A. IEEE J. Quantum Electron. 23:1987;510.
22. Mihalache D., Torner L., Molloveanu F., Panoiu N.C., Truta N. Phys. Rev. E. 48:1993;4699.
23. Gilles L., Bachiri H., Vàzquez L. Phys. Rev. E. 57:1998;6079.
24. Chen C.F., Chi S. Opt. Comm. 157:1998;170.
25. Newell A.C., Whitehead J.A. J. Fluid Mech. 38:1969;279.
26. Segel L.A. J. Fluid Mech. 38:1969;203.
27. Brand H.R., Deissler R.J. Phys. Rev. Lett. 63:1989;2801.
28. Kolodner P. Phys. Rev. A. 46:1992;6431.
29. Ward R.S. Nonlinearity. I:1988;671.
30. Weiss J. J. Math. Phys. 27:1986;1293.
31. Ramani A., Grammaticos B., Bountis T. Phys. Rep. 180:1989;159.
32. Ablowitz M.J., Ramani A., Segur H. J. Math. Phys. 21:1980;715.
33. Weiss J.M., Tabor M., Carnevale G. J. Math. Phys. 24:1983;527.
34. Pathria D., Moris J.L. Physica Scripta. 39:1989;673.
35. Clarkson P.A., Cosgrove C.M. J. Phys. A: Math. Gen. 20:1987;2003.
36. King R.B. J. Phys. A: Math. Gen. 20:1987;2333.
37. Conte R., Fordy A.P., Pickering A. Physica D. 69:1993;33.
38. Tian B., Gao Y.T. Phys. Lett. A. 208:1995;193.
39. Tian B., Gao Y.T. Phys. Lett. A. 212:1996;247.
40. Pickering A. J. Phys. A: Math. Gen. 26:1993;4395.
41. Lou S.Y. Phys. Rev. Lett. 80:1998;5027.
42. Yomba E., Kofané T.C. J. Phys. Soc. Jpn. 69:2000;1027.
43. Yomba E, Kofané TC. J Phys Soc Jpn, submitted for publication.
44. Gibbon J.D., Radmore P., Tabor M., Wood D. SIAM. 72:1985;39.
45. Chanda P.K., Chowdhury A.R. J. Math. Phys. 29:1988;843.
46. Nozaki K. J. Phys. Soc. Jpn. 56:1987;3052.
47. Malomed B.A., Stenflo L. J. Phys. A: Math. Gen. 24:1991;1149.
48. Gradov O.M., Stenflo L. Phys. Fluids. 25:1982;983.
49. Stenflo L., Gradov O.M. IEEE Trans. Plasma Sci. PS. 14:1986;554.
50. Yomba E., Kofané T.C. Physica Scripta. 54:1996;576.
51. Yomba E., Kofané T.C., Pelap F.P. J. Phys. Soc. Jpn. 65:1996;2337.
52. Yomba E., Kofané T.C. Physica D. 125:1999;105.
53. Yomba E, Kofané TC. Chaos, Solitons & Fractals, in press.
54. Bekki N., Nozaki K. Phys. Lett. A. 110:1985;133.
55. Lega J., Fauve S. Physica D. 102:1997;234.
56. Lega J., Janiaud B., Jucquois S., Croquette V. Phys. Rev. A. 45:1992;5596.
57. Popp S., Stiller O., Aranson I., Kramer L. Physica D. 84:1995;398.
58. Popp S., Stiller O., Aranson I., Weber A., Kramer L. Phys. Rev. Lett. 70:1993;3380.
59. Van Saarloos W., Hohenberg P.C. Physica D. 56:1992;303.
60. Marcq P., Chaté H., Conte R. Physica D. 73:1994;305.
61. Chaté H. Nonlinearity. 7:1994;185.
62. Pelap F.B., Kofané T.C. Physica Scripta. 64:2001;410.
63. Pelap FB, Kofané TC, Flytzanis N, Remoissenet M. J Phys Soc Jpn, in press.
64. Torcini A. Phys. Rev. Lett. 77:1996;1047.
65. Kenfack AJ, Kofané TC. J Phys Soc Jpn, in press.