Exact self-similar solutions of the generalized nonlinear Schrödinger equation with distributed coefficients

Physical Review Letters

Volumn 90, Issue 11, 2003, Pages

  Kruglov, V I ^a   Peacock, A C ^a   Harvey, J D ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELECTRIC FIELDS; INTEGRATION; LASER PULSES; LIGHT AMPLIFIERS; MATHEMATICAL TRANSFORMATIONS; OPTICAL FIBERS; SOLITONS;

GALILEAN TRANSFORMATION; GROUP VELOCITY DISPERSION; INVERSE SCATTERING METHOD; NONLINEAR SCHRODINGER EQUATION; OPTICAL FIBER AMPLIFIERS; OPTICAL PULSE COMPRESSORS; SOLITARY WAVE SOLUTIONS;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0037628779     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. G. I. Barenblatt, Scaling, Self-Similarity, and Intermediate Asymptotics (Cambridge University Press, Cambridge, 1996).
2. A. A. Afanas'ev, V. I. Kruglov, B. A. Samson, R. Jakyte, and V. M. Volkov, J. Mod. Opt. 38, 1189 (1991).
3. C. R. Menyuk, D. Levi, and P. Winternitz, Phys. Rev. Lett. 69, 3048 (1992).
4. T. M. Monro, P. D. Millar, L. Poladian, and C. M. de Sterke, Opt. Lett. 23, 268 (1998).
5. M. Soljacic, M. Segev, and C. R. Menyuk, Phys. Rev. E 61, R1048 (2000).
6. D. Anderson, M. Desaix, M. Karlsson, M. Lisak, and M. L. Quiroga-Teixeiro, J. Opt. Soc. Am. B 10, 1185 (1993).
7. J. D. Moores, Opt. Lett. 21, 555 (1996).
8. M. L. Quiroga-Teixeiro, D. Anderson, P. A. Andrekson, A. Berntson, and M. Lisak, J. Opt. Soc. Am. B 13, 687 (1996).
9. Govind P. Agrawal, Nonlinear Fiber Optics (Academic Press, Inc., San Diego, CA, 1995).
10. M. E. Fermann, V. I. Kruglov, B. C. Thomsen, J. M. Dudley, and J. D. Harvey, Phys. Rev. Lett. 84, 6010 (2000).
11. V. I. Kruglov, A. C. Peacock, J. M. Dudley, and J. D. Harvey, Opt. Lett. 25, 1753 (2000).
12. V. I. Kruglov and J. D. Harvey (to be published).
13. A. Mostofi, H. Hatami-Hanza, and P. L. Chu, IEEE J. Quantum Electron. 33, 620 (1997).
14. P. C. Reeves-Hall and J. R. Taylor, Electron. Lett. 37, 417 (2001).
15. A. Hasegava and Y. Kodama, Phys. Rev. Lett. 66, 161 (1991).
16. H. Bremerman, Distributions, Complex Variables, and Fourier Transforms (Addison-Wesley Publishing Company, Reading, MA, 1965).