Nonlinear dynamics of a Davydov's model with two independent excitonic modes in complex one-dimensional molecular systems

Romanian Reports of Physics

Volumn 56, Issue 3-4, 2011, Pages 339-348

  Grecu, A T ^a   Grecu, D ^a   Vişinescu, Anca ^a  

^a HORIA HULUBEI NATIONAL INSTITUTE OF PHYSICS AND NUCLEAR ENGINEERING   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79957632075     PISSN: 1221146X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (55)

1. J. Devrese (ed.), Highly Conducting One Dimensional Solids. Biological Regulation and Development (Springer, 1979).
2. J. Rouxel (ed.), Crystal Chemistry and Properties of Materials with Quasi-One-Dimensional Structures: A Chemical and Physical Synthetic Approach (Springer, 1986).
3. N. Agrait, A. L. Yeyati, J. M. van Ruitenbeak, Phys. Rep. 377, 81 (2003).
4. D. S. G. Bauer, P. Mavropoulos, S. Lounis, S. Blugel, J. Phys: Condens. Matter (in press) (2010).
5. W.-D. Schneider, in Trends in Nanophysics: Theory, Experiment and Technology (A. Aldea, V. Barsan, eds.), p. 3 (Springer, 2010).
6. I. Cai, H. Qu, C. Lu, et al., Phys. Rev. B 70, 155411 (2004).
7. C. Lee, D. Vanderbilt, K. Laasonen, R. Car, M. Parrinello, Phys. Rev. Lett. 69, 462 (1992).
8. C. Lee, D. Vanderbilt, K. Laasonen, R. Car, M. Parrinello, Phys. Rev. B 47, 4863 (1993).
9. A. N. Rubtsov, T. Janssen, Phys. Rev. B 61, 126 (2000).
10. A. N. Rubtsov, T. Janssen, Phys. Rev. B 63, 172101 (2001).
11. X. Wang, D. K. Campbell, J. E. Gubernatis, Phys. Rev. B 49, 15485 (1994).
12. V. Barsan, S. Cojocaru, Rom. Rep. Phys. 58, 123 (2006).
13. V. Barsan, Philos. Mag. 87, 1043 (2007).
14. V. Barsan, Philos. Mag. 90, doi:10.1080/14786435.2010.525539 (2010).
15. A. S. Davydov, Solitons in Molecular Systems (Reidel, Dordrecht, 1985).
16. P. L. Christiansen, A. C. Scott (eds.), Davidov's Soliton Revisited (Plenum Press, New York, 1990).
17. A. S. Davydov, Physica Scripta 20, 387 (1979).
18. L. V. Yakushevich, Nonlinear Physics of D.N.A. (John Wiley & Sons, New York, 1998).
19. L. V. Yakushevich, in Nonlinear Science at the Dawn of the 21st Century (P. L. Christiansen, M. P. Sorensen, A. C. Scott, eds.), p. 371 (Springer, Berlin, 2000).
20. A. C. Scott, Phys. Rep. 217, 1 (1992).
21. A. Scott, Nonlinear Science Emergence and Dynamics of Coherent Structures (Oxford Univ. Press, 2003), 2nd edn.
22. R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, H. C. Morris, Solitons and Nonlinear Wave Equations (Academic Press, London, 1982).
23. G. Careri, U. Buontempo, F. Galluzzi, A. C. Scott, E. Gratton, E. Shyamsunder, Phys. Rev. B 30, 4689 (1984).
24. J. C. Eilbeck, P. S. Lomdahl, A. C. Scott, Phys. Rev. B 30, 4703 (1984).
25. P. L. Christiansen, A. V. Zolotaryuk, A. V. Savin, Phys. Rev. E 56, 877 (1997).
26. D. Hochstrasser, H. Büttner, H. Desfontaines, M. Peyrard, Phys. Rev. A 38, 5332 (1988).
27. M. Peyrard (ed.), Nonlinear Excitations in Biomolecules (Springer, Berlin, 1995).
28. D. W. Brown, Z. Ivić, Phys. Rev. B 40, 9876 (1989).
29. G. Kopidakis, C. M. Soukoulis, E. N. Economou, Phys. Rev. E 51, 15038 (1995).
30. D. M. Alexander, J. A. Krumhansl, Phys. Rev. B 33, 7172 (1986).
31. A. C. Scott, I. J. Bigio, C. T. Johnston, Phys. Rev. B 39, 12883 (1989).
32. A. Visinescu, D. Grecu, Proc. Institute of Math. of NAS Ukraine 50(3), 1502 (2004).
33. A. Visinescu, D. Grecu, A. S. Carstea, Rom. J. Phys. 47, 509 (2002).
34. N. Yajima, M. Oikawa, Prog. Theor. Phys. 56, 1719 (1976).
35. D. J. Benney, Stud. Appl. Math. 56, 81 (1977).
36. M. Boiti, J. Leon, F. Pempinelli, A. Spire, J. Phys. A: Math. Gen. 37, 4243 (2004).
37. T. Taniuti, C. C. Wei, J. Phys. Soc. Japan 21, 209 (1968).
38. A. Nayfeh, Perturbation Methods (Wiley, New York, 1973).
39. S. V. Manakov, Sov. Phys. JETP 38, 248 (1974).
40. V. D. Djordjevic, L. G. Redekopp, J. Fluid Mech. 79, 703 (1977).
41. R. H. J. Grimshaw, Stud. Appl. Math. 56, 241 (1977).
42. V. E. Zakharov, Sov. Phys. JETP 35, 908 (1972).
43. D. R. Nicholson, M. V. Goldman, Phys. Fluids 19(10), 1621 (1976).
44. Y. S. Kivshar, G. P. Agrawal, Optical Solitons. From Fibers to Photonic Crystals (Academic Press, Amsterdam, 2003).
45. D. Grecu, A. Vişinescu, R. Fedele, S. de Nicola, Rom. J. Phys. 55, 585 (2010).
46. M. Onorato, A. R. Osborne, M. Serio, Phys. Rev. Lett. 96, 014503 (2006).
47. P. K. Shukla, I. Kourakis, B. Eliasson, M. Marklund, L. Stenflo, Phys. Rev. Lett. 97, 094501 (2006).
48. R. Radha, C. Senthil Kumar, M. Lakshmanan, X. Y. Tang, S. Y. Lou, J. Phys. A: Math. Gen. 38, 9649 (2005).
49. Y. Ohta, K.-I. Maruno, M. Oikawa, J. Phys. A: Math. Theor. 40, 7659 (2007).
50. K.-I Maruno, Y. Ohta, M. Oikawa, Glasgow Math. J. 51, 129 (2009).
51. M. Yurova, J. Math. Phys. 48, 053516 (2007).
52. A. A. Zabolotskii, Phys. Rev. A 80, 063616 (2009).
53. H. E. Nistazakis, D. J. Frantzeskakis, P. G. Kevekidis, B. A. Malomed, R. Carretero-Gonzales, Phys. Rev. A 77, 033612 (2008).
54. M. Aguero, D. J. Frantzeskakis, P. G. Kevekidis, J. Phys. A 39, 7705 (2006).
55. A. Visinescu, D. Grecu, R. Fedele, S. de Nicola, Periodic and Solitary Wave Solutions of Two Component Zakharov-Yajima-Oikawa System using Madelung Approach, presented at 9th International Conference on Symmetries and Integrability of Differential Equations (SIDE-9), June 14-18, 2010, Varna, Bulgaria [to be published].