Modulational instability and pattern formation on DNA dynamics with viscosity

Journal of Computational and Theoretical Nanoscience

Volumn 5, Issue 4, 2008, Pages 647-654

  Tabi, Conrad B ^a   Mohamadou, Alidou ^a,b   Kofané, Timoléon C ^a  

^a UNIVERSITY OF YAOUNDÉ I   (Cameroon)

^b UNIVERSITY OF DOUALA   (Cameroon)

Author keywords

Discrete complex ginzburg landau equation; DNA dynamics; Energy localization; Modulational instability

Indexed keywords

COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; MOLECULAR DYNAMICS; WAVE PACKETS;

ENERGY LOCALIZATION; GINZBURG-LANDAU EQUATION; MODULATIONAL INSTABILITY; PEYRARD-BISHOP MODEL;

DNA;

EID: 44649190592     PISSN: 15461955     EISSN: None     Source Type: Journal    
DOI: 10.1166/jctn.2008.031     Document Type: Article

References (42)

1. S. W. Englander, N. R. Kallenbach, A. J. Heeger, J. A. Krumhansl, and S. Kitwin, Proc. Nad. Acad. Sci., USA 777, 7222 (1980).
2. S. Yomosa, Phys. Rev. A 27, 220 (1983); 30, 474 (1984).
3. S. Takeno and S. Homma, Prog. Theor. Phys. 77, 548 (1987).
4. Ch. T. Zhang, Phys. Rev. A 35, 886 (1987).
5. M. Peyrard and A. R. Bishop, Phys. Rev. Lett. 62, 2755 (1989).
6. M. Peyrard, R. Boesch, and I. Kourakis, Proceeding of the NATO Advanced Research Workshop, Heraklion, Crete, edited by T. Bountis, Plenum, New York (1991).
7. A. J. Sievers and S. Takeno, Phys. Rev. Lett. 61, 970 (1988).
8. S. Takeno, K. Kisoda, and A. J. Sievers, Prog. Theor. Phys. Suppl. 94, 242 (1988).
9. V. M. Burlakov, S. A. Kiselev, and V. N. Pyrkov, Phys. Rev. B 42, 4921 (1990).
10. K. Yoshimura and S. Watanabe, J. Phys. Soc. Jpn. 60, 82 (1991).
11. Y. S. Kivshar, Phys. Lett. A 161, 80 (1991).
12. N. K. Efremidis and D. N. Christodoulides, Phys. Rev. E 65, 056607 (2002).
13. T. Dauxois, M. Peyrard, and A. R. Bishop, Phys. Rev. E 47, 684 ( 1993).
14. T. Dauxois and M. Peyrard, Phys. Rev. E 51, 4027 (1995).
15. S. Zdravkovic̀ and M. V. Sataric̀, Physica Scripta 64, 612 ( 2001).
16. S. Zdravkovic̀ and M. V. Sataric̀, Int. J. Mod. Phys. B 17, 5911 (2003).
17. S. Zdravkovic̀ and M. V. Sataric̀, Chin. Phys. Lett. 24, 1210 (2007).
18. Y. S. Kivshar and M. Peyrard, Phys. Rev. A 46, 3198 (1992).
19. I. Daumont, T. Dauxois, and M. Peyrard, Nonlinearity 10, 617 ( 1997).
20. L. Brusch, A. Torcini, M. van Hecke, M. G. Zimmermannf, and M. Bär, Physica D 160, 127 (2001).
21. I. S. Aranson and L. Kramer, Rev. Mod. Phys. 74, 100 (2002).
22. N. Akhmedev and A. Ankewcz, Solitons: Nonlinear Pulses and Beams, Chapman and Hall, London (1997);
23. G. P. Agrawal, Nonlinear Fiber Optics, Academic Press, London (1989).
24. E. P. Ippen, Appl. Phys. B 58, 159 (1994).
25. Z. Bakonyi, D. Mchaelis, U. Peschel, G. Onshckukov, and F. Lederer, J. Opt. Soc. Am. B 19, 487 (2002).
26. P. Kolodner, Phy. Rev. Lett. 66, 1165 (1991).
27. M. C. Gross and P. C. Hohenberg, Rev. Mod. Phys. 56, 851 (1993).
28. H. Willame, O. Cardoso, and P. Tabelng, Phys. Rev. Lett. 67, 3247 (1991);
29. S. S. Wang and H. G. Winful, Appl. Phys. Lett. 52, 1774 (1988).
30. K. Otsuka, Nonlinear Dynamics in Optical Complex Systems, KTK Scientific Publishers, Tokyo (1999).
31. S. Boccaletti, C. Grebogi, Y.-C. Lai, H. Mancini, and D. Maza, Physics. Report. 329, 103 (2000).
32. S. Boccaletti, J. Kurth, G. Osipov, D. L. Valladares, and C. S. Zhou, Physics. Report. 366, 1 (2002).
33. A. Mohamadou, A. J. Kenfack, and T. C. Kofané, Phys. Rev. E 72, 036220 (2005).
34. A. Noguchi, Electron. Commun. 57, A9 (1974);
35. F. B. Pelap, T. C. Kofanè, N. Flytzanis, and M. Remoissenet, J. Phys. Soc. Jpn. 70, 2568 (2001).
36. A. Hasegawa and F. D. Tappert, Appl. Phys. Lett. 23, 142 (1973).
37. L. A. Ostrovsky, Zh. Eksp. Teor. Fiz. 51, 1189 (1966).
38. A. Hasegawa, Phys. Fluid. 15, 870 (1972).
39. G. I. Stegeman and M. Segev, Science 286, 1518 (1999).
40. T. Dauxois, M. Peyrard, and C. R. Willis, Physica D 57, 267 ( 1992).
41. T. Dauxois, M. Peyrard, and A. R. Bishop, Phys. Rev. E 47, R44 ( 1993).
42. D. P. Landau and K. Binder, A Guide to Monte Carlo Simulations in Statistical Physics, Cambridge University Press, Cambridge (2000).