Resonant scattering of nonlinear Schrödinger solitons from potential wells

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 6 2, 2004, Pages

  Stoychev, K T ^a   Primatarowa, M T ^a   Kamburova, R S ^a  

^a INSTITUTE OF SOLID STATE PHYSICS   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONTINUUM MECHANICS; ELECTROMAGNETIC WAVE SCATTERING; KINETIC ENERGY; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PERTURBATION TECHNIQUES; RESONANCE; VELOCITY MEASUREMENT;

INELASTIC SOLITONS; NONLINEAR WAVES; POTENTIAL WELLS; RESONANT SCATTERING; SCHRÖDINGER SOLITONS;

SOLITONS;

EID: 37649031958     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.066622     Document Type: Article

References (35)

1. Yu. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763 (1989).
2. M. J. Ablowitz, M. D. Kruskal, and J. R. Ladik, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 36, 478 (1979).
3. D. K. Campbell, J. F. Schonfeld, and C. A. Wingate, Physica D 9, 1 (1983).
4. M. Peyrard and D. K. Campbell, Physica D 9, 33 (1983).
5. D. K. Campbell and M. Peyrard, Physica D 18, 47 (1986).
6. D. Cai, A. R. Bishop, and N. Grønbech-Jensen, Phys. Rev. E 56, 7246 (1997).
7. J. Yang and Yu Tan, Phys. Rev. Lett. 85, 3624 (2000).
8. Yu. S. Kivshar, Z. Fei, and L. Vázquez, Phys. Rev. Lett. 67, 1177 (1991).
9. Z. Fei, Yu. S. Kivshar, and L. Vázquez, Phys. Rev. A 45, 6019 (1992).
10. Z. Fei, Yu. S. Kivshar, and L. Vázquez, Phys. Rev. A 46, 5214 (1992).
11. Yu. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Zh. Eksp. Teor. Fiz. 93, 968 (1987)
12. [Sov, Phys. JETP 66, 545 (1987)].
13. Yu. S. Kivshar, A. M. Kosevich, and O. A. Chubykalo, Phys. Lett. A 125, 35 (1987).
14. D. I. Pushkarov and R. D. Atanasov, Phys. Lett. A 149, 287 (1990).
15. X. D. Cao and B. A. Malomed, Phys. Lett. A 206, 177 (1995).
16. V. V. Konotop, D. Cai, M. Salerno, A. R. Bishop, and N. Grønbech-Jensen, Phys. Rev. E 53, 6476 (1996).
17. R. Sharf and A. R. Bishop, Phys. Rev. A 46, R2973 (1992).
18. J. J.-L. Ting and M. Peyrard, Phys. Rev. E 53, 1011 (1996).
19. H. Frauenkron and P. Grassberger, Phys. Rev. E 53, 2823 (1996).
20. G. Kälbermann, Phys. Rev. E 55, R6360 (1997).
21. G. Kälbermann, Phys. Lett. A 252, 37 (1999).
22. G. Kälbermann, Chaos, Solitons Fractals 12, 2381 (2001).
23. G. Kälbermann, Chaos, Solitons Fractals 12, 625 (2001).
24. Y. Nogami and F. M. Toyama, Phys. Lett. A 184, 245 (1994).
25. L. F. Shampine and M. K. Gordon, Computer Solution of Ordinary Differential Equations (Freeman, San Francisco, 1975).
26. J. Satsima and N. Yajima, Suppl. Prog. Theor. Phys. 55, 284 (1974).
27. T. Ueda and W. L. Kath, Phys. Rev. A 42, 563 (1990).
28. J. P. Gordon, J. Opt. Soc. Am. B 9, 91 (1992).
29. M. W. Chbat, J. P. Prucnal, M. N. Islam, C. E. Soccolich, and J. P. Gordon, J. Opt. Soc. Am. B 10, 1386 (1993).
30. D. J. Kaup, B. A. Malomed, and R. S. Tasgal, Phys. Rev. E 48, 3049 (1993).
31. E. A. Kuznetsov, A. V. Mikhailov, and I. A. Shimokhin, Physica D 87, 201 (1995).
32. B. A. Malomed and R. S. Tasgal, Phys. Rev. E 58, 2564 (1998).
33. J. Yang, Phys. Rev. E 66, 026601 (2002).
34. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].
35. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 61, 118 (1971) [Sov. Phys. JETP 34, 62 (1972)].