Stationary solutions and self-trapping in discrete quadratic nonlinear systems

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

Volumn 56, Issue 6, 1997, Pages 7257-7266

  Bang, Ole ^a   Christiansen, Peter Leth ^b   Clausen, Carl Balslev ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NONLINEAR OPTICS; OPTICAL KERR EFFECT; OPTICAL WAVEGUIDES; REFRACTIVE INDEX; SECOND HARMONIC GENERATION;

DISCRETE NONLINEAR SCHRODINGER EQUATION; FERMI RESONANCE; HAMILTONIAN STRUCTURE; SELF TRAPPING;

DYNAMICS;

EID: 0031381680     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.7257     Document Type: Article

References (40)

1. J C. Eilbeck, P S. Lomdahl, and A C. Scott, Physica D16, 318 (1985).
2. T. Holstein, Ann. Phys. (N.Y.)8, 325 (1959).
3. A S. Davydov and N I. Kislukha, Phys. Status Solidi B59, 465 (1973).
4. A C. Scott and J C. Eilbeck, Chem. Phys. Lett.132, 23 (1986).
5. J C. Eilbeck, P S. Lomdahl, and A C. Scott, Phys. Rev. B30, 4703 (1984).
6. J H. Jensen, P L. Christiansen, O. Skovgaard, O F. Nielsen, and I J. Bigio, Phys. Lett. A117, 123 (1986).
7. H. Feddersen, Phys. Lett. A154, 391 (1991).
8. S M. Jensen, IEEE J. Quantum Electron.18, 1580 (1982).
9. D N. Christodoulides and R I. Joseph, Opt. Lett.13, 794 (1988).
10. A B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E53, 1172 (1996).
11. V M. Agranovich and O A. Dubovsky, Chem. Phys. Lett.210, 458 (1993).
12. V M. Agranovich and A M. Kamchatnov, Pis’ma Zh. Éksp. Teor. Fiz. 59, 397 (1994) [JETP Lett.59, 424 (1994)].
13. S.A. Dubovskiĭ and A V. Orlov, Fiz. Tverd. Tela 38, 1221 (1996) [Phys. Solid State38, 675 (1996)].
14. S.A. Dubovskiĭ and A V. Orlov, [Phys. Solid State38, 1931 (1996) [38, 1067(1996)].
15. T. Peschel, U. Peschel, and F. Lederer, Phys. Rev. E55, 4730(1997).
16. J A. Armstrong, N. Bloembergen, J. Ducuing, and P S. Pershan, Phys. Rev.127, 1918 (1962).
17. G I. Stegeman, E M. Wright, N. Finlayson, R. Zanoni, and T. Seaton, IEEE J. Light. Technol.6, 953 (1988).
18. G I. Stegeman, D J. Hagan, and L. Torner, Opt. Quantum Electron.28, 1691 (1996).
19. V E. Zakharov and A B. Shabat, Zh. Éksp. Teor Fiz. 61, 118 (1971) [Sov. Phys. JETP34, 62 (1972)].
20. J J. Rasmussen and K. Rypdal, Phys. Scr.33, 481 (1986).
21. L. Bergé, V K. Mezentsev, J J. Rasmussen, and J. Wyller, Phys. Rev. A52, R28 (1995).
22. L. Bergé, O. Bang, J J. Rasmussen, and V K. Mezentsev, Phys. Rev. E55, 3555 (1997).
23. A A. Kanashov and A M. Rubenshik, Physica D4, 122 (1981).
24. L. Torner, C R. Menyuk, W E. Torruellas, and G I. Stegeman, Opt. Lett.20, 13 (1995).
25. D E. Pelinovsky, A V. Buryak, and Y S. Kivshar, Phys. Rev. Lett.75, 591 (1995).
26. W E. Torruellas, Z. Wang, D J. Hagan, E.W. Van Stryland, G I. Stegeman, L. Torner, and C R. Menyuk, Phys. Rev. Lett.74, 5036 (1995).
27. R. Schiek, Y. Baek, and G I. Stegeman, Phys. Rev. E53, 1138 (1996).
28. A G. Kalocsai and J W. Haus, Opt. Commun.97, 239 (1993).
29. Q. Guo, Quantum Opt.5, 133 (1993).
30. A V. Buryak and Y S. Kivshar, Phys. Lett. A197, 407 (1995).
31. C. Etrich, U. Peschel, F. Lederer, and B. Malomed, Phys. Rev. A52, R3444 (1995).
32. D M. Baboiu, G I. Stegeman, and L. Torner, Opt. Lett.20, 2282 (1995).
33. C. Balslev Clausen, P L. Christiansen, and L. Torner, Opt. Commun.136, 185 (1997).
34. T. Gabler, Frauenhofer Institut für Angewandte Optik un Feinmechanik (private communication).
35. M.F. Jørgensen, and P L. Christiansen (unpublished).
36. O. Bang, J. Opt. Soc. Am. B14, 51 (1997).
37. S. Trillo, S. Wabnitz, R. Chisari, and G. Cappellini, Opt. Lett.17, 637 (1992).
38. K C. Rustagi, S C. Mehendale, and S. Meenakshi, IEEE J. Quantum Electron.18, 1029 (1982).
39. A. Kobyakov and F. Lederer, Phys. Rev. A54, 3455 (1996).
40. A. Kobyakov, E. Schmidt, and F. Lederer, J. Opt. Soc. Am. B14, 3242 (1997).