Dynamics of coupled gap solitons in diatomic lattices with cubic and quartic nonlinearities

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 62, Issue 2, 2000, Pages 2827-2839

  Hu, Bambi ^a,b   Huang, Guoxiang ^a,c   Velarde, Manuel G ^d  

^a HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

^b UNIVERSITY OF HOUSTON   (United States)

^c EAST CHINA NORMAL UNIVERSITY   (China)

^d UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMIC PHYSICS; ENERGY GAP; HIGH ENERGY PHYSICS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PHONONS;

BRILLOUIN ZONE; COUPLED GAP SOLITON; COUPLED MODE EQUATION; DIATOMIC LATTICES; NONLINEAR SCHRODINGER EQUATION; PHONON SPECTRUM;

SOLITONS;

EID: 0034238745     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.2827     Document Type: Article

References (36)

1. E. Fermi, J. Pasta, and S. Ulam, Report LA1940, 1955 (unpublished).Also in Collected Papers of Enrico Fermi (Univ. Chicago Press, Chicago, 1962), Vol. 2, p. 978.
2. Zhu-Pei Shi, Guoxiang Huang, and Ruibao Tao, Int. J. Mod. Phys. B 5, 2237 (1991).
3. Y.S. Kivshar and N. Flytzanis, Phys. Rev. A 46, 7972 (1992).
4. S.A. Kiselev, S.R. Bickham, and A.J. Sievers, Phys. Rev. B 48, 13 508 (1993)
5. Phys. Rev. BS.A. KiselevS.R. BickhamA.J. Sievers50, 9153 (1994).
6. Guoxiang Huang, Phys. Rev. B 51, 12 347 (1995).
7. M. Aoki and S. Takeno, J. Phys. Soc. Jpn. 64, 809 (1995).
8. D. Bonart, A.P. Mayer, and U. Schröder, Phys. Rev. Lett. 75, 870 (1995)
9. D. BonartA.P. MayerU. SchröderPhys. Rev. B 51, 13 739 (1995).
10. D. Bonart, T. Rössler, and J.B. Page, Phys. Rev. B 55, 8829 (1997).
11. J.N. Teixeira and A.A. Maradudin, Phys. Lett. A 205, 349 (1995).
12. A. Franchini, V. Bortolani, and R.F. Wallis, Phys. Rev. B 53, 5420 (1996).
13. V.V. Konotop, Phys. Rev. E 53, 2843 (1996), Sec. III.
14. S.A. Kiselev and A.J. Sievers, Phys. Rev. B 55, 5755 (1997).
15. Guoxiang Huang and Bambi Hu, Phys. Rev. B 57, 5746 (1998).
16. S. Jiménez and V.V. Konotop, Phys. Rev. B 60, 6465 (1999).
17. W. Chen and D.L. Mills, Phys. Rev. Lett. 58, 160 (1987).
18. Sen-yue Lou and Guoxiang Huang, Mod. Phys. Lett. A 9, 1231 (1995).
19. Sen-yue Lou, Jun Yu, Ji Lin, and Guoxiang Huang, Chin. Phys. Lett. 12, 400 (1995).
20. Ji Lin, Yong Li, Guoxiang Huang, and Sen-yue Lou, Chin. Sci. Bull. 4, 120 (1997).
21. O.A. Chubykalo, A.S. Kovalev, and O.V. Usatenko, Phys. Rev. B 47, 3153 (1993).
22. Y.S. Kivshar, O.A. Chubykalo, O.V. Usatenko, and D.V. Grinyoff, Int. J. Mod. Phys. B 9, 2963 (1996).
23. A.S. Kovalev, O.V. Usatenko, and A.V. Gorbatch, Phys. Rev. E 60, 2309 (1999).
24. D.L. Mills and S.E. Trullinger, Phys. Rev. B 36, 947 (1987).
25. H.G. Winful, Appl. Phys. Lett. 35, 379 (1979)
26. Appl. Phys. Lett.H.G. Winful40, 298 (1982).
27. A. Jeffery and T. Kawahawa, Asymptotic Method in Nonlinear Wave Theory (Pitman, London, 1982).
28. M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
29. A. Tsurui, Prog. Theor. Phys. 48, 1196 (1972).
30. M.J. Ablowitz, G. Biondini, and S. Blair, Phys. Lett. A 236, 520 (1997).
31. T. Iizuka and Y.S. Kivshar, Phys. Rev. E 59, 7148 (1999).
32. C.M. de Sterke, Phys. Rev. E 48, 4136 (1993).
33. C.M. de Sterke, D.G. Salinas, and J.E. Sipe, Phys. Rev. E 54, 1969 (1996).
34. Guoxiang Huang, Zhu-Pei Shi, and Zaixin Xu, Phys. Rev. B 47, 14 561 (1993).
35. A.V. Buryak, Y.S. Kivshar, and D.F. Parker, Phys. Lett. A 215, 57 (1996), and references therein.
36. Guoxiang Huang, Peiqing Tong, and Bambi Hu, J. Phys.: Condens. Matter 11, 2759 (1999).