Solutions for solitons in nonlinear optically induced lattices

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

Volumn 69, Issue 6 2, 2004, Pages

  Shin, H J ^a  

^a Kyung Hee University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR OPTICS; NUMERICAL METHODS; PARAMETER ESTIMATION; PHOTONS; PROBLEM SOLVING; QUASICRYSTALS; SOLUTIONS;

BRAGG EQUATION; DARBOUX TRANSFORMATION TECHNIQUE; SCHRODINGER EQUATION;

SOLITONS;

EID: 42749109117     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.067602     Document Type: Article

References (24)

1. N. K. Efremidis et al., Phys. Rev. E 66, 046602 (2002).
2. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003); Nature (London) 422, 147 (2003); D. Neshev et al., Opt. Lett. 28, 710 (2003).
3. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003); Nature (London) 422, 147 (2003); D. Neshev et al., Opt. Lett. 28, 710 (2003).
4. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003); Nature (London) 422, 147 (2003); D. Neshev et al., Opt. Lett. 28, 710 (2003).
5. A. S. Desyatnikov et al., Phys. Rev. Lett. 91, 153902 (2003).
6. F. Lederer, S. Darmanyan, and A. Kobyakov, in Spatial Solitons, edited by S. Trillo and W. Torruellas (Springer, Berlin, 2001), p. 269.
7. S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 505 (1973) [Sov. Phys. JETP 38, 248 (1974)].
8. S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 505 (1973) [Sov. Phys. JETP 38, 248 (1974)].
9. M. R. Adams et al., Commun. Math. Phys. 155, 385 (1993).
10. F. Abdullaev, S. Darmanyan, and P. Khabibullaev, Optical Solitons, Springer Series in Nonlinear Dynamics (Springer-Verlag, Heidelberg, 1993).
11. See, for example, A. Kamchatnov, Phys. Rep. 286, 199 (1997).
12. H. J. Shin, J. Phys. A 36, 4113 (2003).
13. F. T. Hioe, J. Phys. A 32, 2415 (1999); K. W. Chow and D. W. C. Lai, Phys. Rev. E 68, 017601 (2003).
14. F. T. Hioe, J. Phys. A 32, 2415 (1999); K. W. Chow and D. W. C. Lai, Phys. Rev. E 68, 017601 (2003).
15. A. V. Porubov and D. F. Parker, Wave Motion 29, 97 (1999).
16. G. Darboux, Compt. Rend 94, 1456 (1882); V. Matveev and M. Salle, Darboux Transformations and Soltons, Springer Series in Nonlinear Dynamics (Springer-Verlag, Heiderberg, 1990).
17. G. Darboux, Compt. Rend 94, 1456 (1882); V. Matveev and M. Salle, Darboux Transformations and Soltons, Springer Series in Nonlinear Dynamics (Springer-Verlag, Heiderberg, 1990).
18. H. J. Shin, Phys. Rev. E 63, 026606 (2001).
19. Q-H. Park and H. J. Shin, Physica D 157, 1 (2001).
20. Q-H. Park and H. J. Shin, IEEE J. Sel. Top. Quantum Electron. 8, 432 (2002).
21. Encyclopedic Dictionary of Mathematics, edited by K. Itô (MIT press, Cambridge, MA, 1993).
22. Encyclopedic Dictionary of Mathematics, edited by K. Itô (MIT press, Cambridge, MA, 1993).
23. Table of Integrals, Series, and Products, edited by I. S. Gradshteyn and I. M. Ryzhik (Academic Press, New York, 1980).
24. A. Sym, Fluid Dyn. Res. 3, 151 (1988).