Solitons for the rotating reduced Maxwell-Bloch equations with anisotropy

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

Volumn 72, Issue 5, 2005, Pages

  Steudel, H ^a,b,c   Zabolotskii, A A ^b,c   Meinel, R ^c  

^a HUMBOLDT UNIVERSITY   (Germany)

^b INSTITUTE OF AUTOMATION AND ELECTROMETRY   (Russian Federation)

^c FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC DIPOLE MOMENT; BÃCKLUND TRANSFORMATIONS; MAXWELL-BLOCH EQUATIONS;

ANISOTROPY; ELECTROMAGNETIC WAVE POLARIZATION; MAXWELL EQUATIONS; TRANSPARENCY;

SOLITONS;

EID: 28844437439     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.056608     Document Type: Article

References (22)

1. J. K. Eilbeck, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/5/9/008 5, 1355 (1972).
2. J. K. Eilbeck, J. D. Gibbon, P. J. Caudrey, and R. K. Bullough, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/6/9/009 6, 1337 (1973).
3. P. J. Caudrey, J. C. Eilbeck, J. D. Gibbon, and R. K. Bullough, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/6/5/001. 6, L53 (1973).
4. R. K. Bullough, P. M. Jack, P. W. Kitchenside, and R. Saunders, Phys. Scr. PHSTBO 0031-8949 20, 364 (1979).
5. R. K. Dodd, J. K. Eilbeck, and J. D. Gibbon, Solitons and Nonlinear Wave Equations (Academic Press, London, 1982).
6. H. Steudel and A. A. Zabolotskii, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/18/009 37, 5047 (2004).
7. D. J. Kaup and A. C. Newell, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.523737 19, 798 (1978).
8. S. L. McCall and E. L. Hahn, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.183.457 183, 457 (1969).
9. H. M. Gibbs and R. E. Slusher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.24.638 24, 638 (1970).
10. H. M. Gibbs and R. E. Slusher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.6.2326 6, 2326 (1972).
11. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, New York, 1987).
12. G. Neugebauer and R. Meinel, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(84)90827-2 100A, 467 (1984).
13. R. Meinel, G. Neugebauer, and H. Steudel, Solitonen-Nichtlineare Strukturen (Akademie Verlag, Berlin, 1991).
14. H. Steudel and A. A. Zabolotskii, J. Phys. A JPHAC5 0305-4470 34, 5297 (2001).
15. H. Steudel, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/7/309 36, 1931 (2003).
16. M. J. Ablowitz, D. J. Kaup, and A. C. Newell, J. Math. Phys. JMAPAQ 0022-2488 19, 1852 (1974).
17. L. W. Casperson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.609 57, 609 (1998).
18. H. Steudel, R. Meinel, and G. Neugebauer, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.532115 38, 4692 (1997).
19. H. Federer, Geometric Measure Theory (Springer, Berlin, 1996).
20. H. Steudel, R. Meinel, and D. J. Kaup, J. Mod. Opt. JMOPEW 0950-0340 44, 287 (1997).
21. H. Steudel, in Bãcklund and Darboux Transformations. The Geometry of Solitons, edited by, A. Coley, D. Levi, R. Milson, C. Rogers, and, P. Winternitz, CRM Proceedings and Lecture Notes Vol. 29 (Les Publications CRM, MontrÃal, 2001), p. 411.
22. R. Schimming, in Analysis, Geometry and Groups, edited by, H. M. Srivastava, and, T. M. Rassias, (Hadronic Press, Palm Harbour, 1993), p. 672.