Nonlinear Schrödinger equations with mean terms in nonresonant multidimensional quadratic materials

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

Volumn 63, Issue 4, 2001, Pages

  Ablowitz, M J ^a   Biondini, Gino ^b   Blair, Steve ^c  

^a UNIVERSITY OF COLORADO   (United States)

^b NORTHWESTERN UNIVERSITY   (United States)

^c University of Utah   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; ELECTROMAGNETIC WAVE POLARIZATION; MATHEMATICAL MODELS; MAXWELL EQUATIONS; VECTORS;

NONLINEAR SCHRODINGER EQUATIONS; QUASI MONOCHROMATIC OPTICAL PULSES;

LIGHT PROPAGATION;

EID: 0035306022     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.046605     Document Type: Article

References (31)

1. C. Bosshard, R. Spreiter, M. Zgonik and P. Günther, Phys. Rev. Lett. 74, 2816 (1995).
2. A. G. Kalocsai and J. W. Haus, Opt. Commun. 97, 239 (1993).
3. A. G. Kalocsai and J. W. Haus, Phys. Rev. A 49, 574 (1994).
4. T. K. Gustafson, J. E. Taran, P. L. Kelley, and R. Y. Chiao, Opt. Commun. 2, 17 (1970).
5. M. Bass, P. A. Franken, J. F. Ward, and G. Weinreich, Phys. Rev. Lett. 9, 446 (1962).
6. A. G. Kalocsai and J. W. Haus, Phys. Rev. E 52, 3166 (1995).
7. A. G. Kalocsai and J. W. Haus, J. Opt. Soc. Am. B 14, 1680 (1997).
8. P. L. Kelley, Phys. Rev. Lett. 15, 1005 (1965).
9. V. I. Talanov, Sov. Phys. JETP 2, 138 (1965).
10. D. J. Benney and A. C. Newell, J. Math. Phys. 46, 133 (1967).
11. O. Bang, J. Opt. Soc. Am. B 14, 51 (1997).
12. T. B. Benjamin and J. E. Feir, J. Fluid Mech. 27, 417 (1967).
13. D. J. Benney and G. J. Roskes, Stud. Appl. Math. 48, 377 (1969).
14. V. E. Zakharov, Sov. Phys. JETP 35, 908 (1972).
15. A. Davey and K. Stewartson, Proc. R. Soc. London, Ser. A 338, 101 (1974).
16. M. Boiti, J. J. Leon, L. Martina, and F. Pempinelli, Phys. Lett. A 132, 432 (1988).
17. A. Fokas and P. Santini, Physica D 44, 99 (1990).
18. M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge University Press, Cambridge, 1991).
19. M. J. Ablowitz and H. Segur, J. Fluid Mech. 92, 691 (1979).
20. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (SIAM, Philadelphia, 1981).
21. M. J. Ablowitz, G. Biondini, and S. Blair, Phys. Lett. A 236, 520 (1997).
22. A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Redwood City, 1992).
23. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).
24. P. N. Butcher and D. Cotter, The Elements of Nonlinear Optics (Cambridge University Press, Cambridge, 1990).
25. J. R. Thomas and J. E. Taran, Opt. Commun. 4, 329 (1972).
26. J. U. Kang, G. I. Stegeman, J. S. Atchinson, and N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
27. A. V. Buryak, Y. S. Kivshar, and S. Trillo, Phys. Rev. Lett. 77, 5210 (1996).
28. C. B. Clausen, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 78, 4749 (1997).
29. D. J. Benney, Stud. Appl. Math. 56, 81 (1977).
30. C. R. Menyuk, IEEE J. Quantum Electron. 23, 174 (1987).
31. F. If, P. Berg, P. L. Christiansen, and O. Skovgaard, J. Comput. Phys. 72, 501 (1987).