Instability of continuous waves and rotating solitons in waveguide arrays

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

Volumn 55, Issue 6, 1997, Pages 7662-7668

  Darmanyan, S ^a   Relke, I ^a   Lederer, F ^a  

^a FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000608453     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.7662     Document Type: Article

References (30)

1. T B. Benjamin and J F. Feir, J. Fluid Mech.27, 417 (1967).
2. V I. Bespalov and V I. Talanov, Pis’ma Zh. Éksp. Teor. Fiz.3, 471 (1966) [JETP Lett. 3, 307 (1966)].
3. H C. Yuen and B M. Lake, in Soliton in Action, edited by K. Lonngren and A. Scott (Academic Press, New York, 1978).
4. E A. Kuznetsov, V E. Zacharov and A M. Rubenchik, Phys. Rep.142, 103 (1986).
5. C. Montes, O. Legrand, A M. Rubenchik, and I V. Relke, in Nonlinear World (World Scientific, Singapore, 1990), p. 1250.
6. F. Abdullaev, S. Darmanyan, and P. Khabibullaev, Optical Solitons (Springer-Verlag, Heidelberg, 1993).
7. G P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, 1995).
8. A. Hasegawa, Opt. Lett.9, 288 (1984).
9. K. Tai, A. Hasegawa and A. Tomita, Phys. Rev. Lett.11, 171 (1986);
10. K. Tai, A. Hasegawa and A. Tomita, Phys. Rev. A46, 3198 (1992).
11. Yu. S. Kivshar and M. Peyrard, Phys. Rev. A46, 3198 (1992).
12. V M. Burlakov, S A. Darmanyan and V N. Pyrkov, Phys. Rev. B54, 3257 (1996).
13. D N. Christodoulides and R I. Joseph, Opt. Lett.13, 794 (1988).
14. Yu. Kivshar, Opt. Lett.18, 1147 (1993).
15. A. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo and S. Wabnitz, Phys. Rev. E53, 1172 (1996).
16. C. Schmidt-Hattenberger, U. Trutschel and F. Lederer, Opt. Lett.16, 294 (1991).
17. C. Schmidt-Hattenberger, R. Muschall, F. Lederer and U. Trutschel, J. Opt. Soc. Am. B10, 1592 (1993).
18. W. Krolikowski, U. Trutschel, M. Cronin-Golomb and C. Schmidt-Hattenberger, Opt. Lett.19, 320 (1994).
19. R. Muschall, C. Schmidt-Hattenberger and F. Lederer, Opt. Lett.19, 323 (1994).
20. W. Krolikowski and Yu. Kivshar, J. Opt. Soc. Am. B13, 876 (1996).
21. A V. Aceves, C. De Angelis, A M. Rubenchik and S K. Turitsyn, Opt. Lett.19, 329 (1994).
22. A V. Aceves, G G. Luther, C. De Angelis, A M. Rubenchik and S K. Turitsyn, Phys. Rev. Lett.75, 73 (1995).
23. A V. Aceves, C. De Angelis, G G. Luther and A M. Rubenchik, Opt. Lett.19, 1186 (1994).
24. E W. Laedke, K H. Spatschek, S K. Turitsyn and V K. Mezentsev, Phys. Rev. E52, 5549 (1996).
25. A. Buryak and N. Akhmediev, IEEE J. Quantum Electron.31, 682 (1995).
26. G I. Barenblatt and Ya. B. Zel’dovich, Prikl. Mat. Mekh.21, 856 (1958).
27. L P. Pitaevski, Zh. Eksp. Teor. Fiz.40, 646 (1960) [Sov. Phys. JETP 13, 451 (1961)].
28. B B. Kadomtsev and V I. Petviashvili, Dokl. Akad. Nauk SSSR192, 753 (1970) [Sov. Phys. Dokl. 15, 539 (1970)].
29. F. Abdullaev, R. Abrarov and S. Darmanyan, Opt. Lett.14, 131 (1989).
30. R. Abrarov, P. Christiansen, S. Darmanyan, A. Scott and M. Soerensen, Phys. Lett. A171, 298 (1992).