Interactions of parametrically driven dark solitons. II. Néel-Bloch interactions

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

Volumn 75, Issue 2, 2007, Pages

  Barashenkov, I V ^a,c   Woodford, S R ^b  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b FORSCHUNGSZENTRUM JÜLICH   (Germany)

^c UNIVERSITY OF CAPE TOWN   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL PARTICLES; DARK SOLITONS; FOURFOLD ZERO EIGENVALUE;

DISSOCIATION; EIGENVALUES AND EIGENFUNCTIONS; NONLINEAR EQUATIONS;

SOLITONS;

EID: 33846958738     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.026605     Document Type: Article

References (21)

1. I. V. Barashenkov, S. R. Woodford, and E. V. Zemlyanaya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.026604 74, 026604 (2007).
2. L. N. Bulaevskii and V. L. Ginzburg, Sov. Phys. JETP SPHJAR 0038-5646 18, 530 (1964).
3. R. Rajaraman and E. J. Weinberg, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.11.2950 11, 2950 (1975).
4. J. Lajzerowicz and J. J. Niez, in Solitons and Condensed Matter Physics, edited by, A. R. Bishop, and, T. Schneider, Springer Series in Solid-State Sciences Vol. 8 (Springer-Verlag, Berlin, 1978).
5. J. Lajzerowicz and J. J. Niez, J. Phys. (Paris) JOPQAG 0302-0738 40, L165 (1979).
6. C. Elphick and E. Meron, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.40.3226 40, 3226 (1989).
7. S. Sarker, S. E. Trullinger, and A. R. Bishop, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(76)90784-2 59, 255 (1976).
8. C. Montonen, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(76)90537-X 112, 349 (1976).
9. I. V. Barashenkov, S. R. Woodford, and E. V. Zemlyanaya, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.054103 90, 054103 (2003).
10. R. Rajaraman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.42. 200 42, 200 (1979).
11. K. R. Subbaswamy and S. E. Trullinger, Physica D PDNPDT 0167-2789 10.1016/0167-2789(81)90016-6 2, 379 (1981).
12. P. Hawrylak, K. R. Subbaswamy, and S. E. Trullinger, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.29.1154 29, 1154 (1984).
13. I. V. Barashenkov and S. R. Woodford, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.026613 71, 026613 (2005).
14. I. V. Barashenkov and V. G. Makhankov, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(88)91042-0 128, 52 (1988);
15. I. V. Barashenkov and E. Yu. Panova, Physica D PDNPDT 0167-2789 10.1016/0167-2789(93)90184-3 69, 114 (1993).
16. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, 3rd ed. (Butterworth-Heinemann, Oxford, 1997), see problem 3 in Sec. 50, Chap..
17. I. V. Barashenkov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 77.1193 77, 1193 (1996).
18. See Appendix A6 in V. I. Arnol'd, Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics) (Springer-Verlag, New York, 1989).
19. J. A. C. Weideman and B. M. Herbst, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. SJNAEQ 0036-1429 10.1137/0723033 23, 485 (1986).
20. B. A. Malomed and A. A. Nepomnyashchy, Europhys. Lett. EULEEJ 0295-5075 27, 649 (1994).
21. E. A. Ostrovskaya, Y. S. Kivshar, Z. G. Chen, and M. Segev, Opt. Lett. OPLEDP 0146-9592 24, 327 (1999).