- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Solitons in anharmonic chains with negative group velocity

Edward Arévalo

  • Institut für Theorie Elektromagnetischer Felder, Technische Universität Darmstadt, Schlossgartenstrasse 8, D-64289 Darmstadt, Germany

PDF

Phys. Rev. E 76, 066602 – Published 6 December, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.066602

Abstract

We consider the problem of the soliton dynamics in anharmonic chains with nearest-neighbor interactions and negative group velocity. By using the quasicontinuum approach we derive analytic expressions for envelope solitons. We observe that these solitons are stable under collisions and, moreover, in the absence of losses they can propagate with nearly any desired velocity. Energy loss effects are discussed by considering the presence of Stokes and hydrodynamical damping. Numerical simulations are performed showing a good agreement with the theory.

View figure in article

Article Text

References (25)

  1. G. M. Gehring, A. Schweinsberg, C. Barsi, N. Kostinski, and R. W. Boyd, Science 312, 895 (2006), and references therein.
  2. I. V. Shadrivov and Y. S. Kivshar, J. Opt. A, Pure Appl. Opt. 7, S68 (2005).
  3. A. D. Boardman, P. Egan, L. Velasco, and N. King, J. Opt. A, Pure Appl. Opt. 7, S57 (2005).
  4. A. Haché and L. Poirier, Phys. Rev. E 65, 036608 (2002).
  5. H. Luo, W. Hu, W. Shu, F. Li, and Z. Ren, Europhys. Lett. 74, 1081 (2006).
  6. Christopher Caloz, I-Hsiang Lin, and Tatso Itoh, Microwave Opt. Technol. Lett. 40, 471 (2004).
  7. G. V. Eleftheriades, O. Siddiqui, and A. K. Iyer, IEEE Microwave Wirel. Compon. Lett. 13, 51 (2003).
  8. A. B. Kozyrev and D. W. van der Weide, IEEE Trans. Microwave Theory Tech. 53, 238 (2005).
  9. A. Alú, F. Bilotti, and L. Vegni, Microwave Opt. Technol. Lett. 49, 94 (2007).
  10. N. Lazarides, M. Eleftheriou, and G. P. Tsironis, Phys. Rev. Lett. 97, 157406 (2006).
  11. I. Kourakis, N. Lazarides, and G. P. Tsironis, Phys. Rev. E 75, 067601 (2007).
  12. M. Remoissenet, Waves Called Solitons (Springer, New York, 1996).
  13. E. Sawado, M. Taki, and S. Kiliu, Phys. Rev. B 38, 11911 (1988).
  14. A. Neuper, F. G. Mertens, and N. Flytzanis, Z. Phys. B 95, 397 (1994).
  15. C. Brunhuber, F. G. Mertens, and Y. Gaididei, Eur. Phys. J. B 42, 103 (2004).
  16. C. Brunhuber, F. G. Mertens, and Y. Gaididei, Phys. Rev. E 73, 016614 (2006).
  17. M. Collins, Chem. Phys. Lett. 77, 342 (1981).
  18. D. Hochstrasser, F. G. Mertens, and H. Büttner, Phys. Rev. A 40, 2602 (1989).
  19. P. Rosenau, Phys. Lett. A 118, 222 (1986).
  20. E. Arévalo, Yu. Gaididei, and F. G. Mertens, Eur. Phys. J. B 27, 63 (2002).
  21. N. G. Vakhitov and A. A. Kolokolov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 16, 1020 (1973).
  22. L. Bergé, Phys. Rep. 303, 259 (1998).
  23. Y. S. Kivshar and M. Peyrard, Phys. Rev. A 46, 3198 (1992).
  24. E. Arévalo, Yu. Gaididei, and F. G. Mertens, Physica A 334, 417 (2004).
  25. P. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations (Springer-Verlag, New York, 1992).

Outline

Information

Phys. Rev. E 76, 066602– Published 6 December, 2007
  • Received 16 May 2007

© 2007 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation