Multibreather solitons in the diffraction managed NLS equation

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 349, Issue 6, 2006, Pages 430-438

  Panayotaros, Panayotis ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Discrete breathers; Nonlinear Schr dinger equations; Variational methods

Indexed keywords

HAMILTONIANS; NONLINEAR EQUATIONS;

COUPLED WAVEGUIDES; DIFFRACTION MANAGEMENT; DINGER EQUATION; DISCRETE BREATHER; GENERAL SOLUTIONS; LOCAL EXTREMUM; NLS EQUATIONS; VARIATIONAL METHODS;

DIFFRACTION;

EID: 29644437330     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.09.055     Document Type: Article

References (24)

1. N. Ackermann, A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations, preprint, 2004
2. S. Angenent The shadowing lemma for elliptic PDE S.N. Chow J. Hale Dynamics of Infinite-Dimensional Systems 1987 Springer-Verlag New York
3. M.R. Ablowitz, and G. Biondini Opt. Lett. 23 1998 1668
4. M.R. Ablowitz, and Z.H. Musslimani Phys. Rev. Lett. 87 2001 254102
5. D. Bambusi Nonlinearity 9 1996 433
6. V. Coti Zelati, I. Ekeland, and E. Séré Math. Ann. 288 1990 133
7. D.N. Christodoulides, and R.I. Joseph Opt. Lett. 13 1988 794
8. V. Coti Zelati, and P.H. Rabinowitz Commun. Pure Appl. Math. 45 1992 1217
9. J.J. Dongarra, and C.B. Moler Eispack, a package for solving eigenvalue problems W.J. Cowell Sources and Development of Mathematical Software 1984 Prentice-Hall New York
10. W. Eckhaus J. Math. Anal. Appl. 49 1975 575
11. H.S. Eisenberg, Y. Silberberg, R. Morandotti, and J.S. Aitchison Phys. Rev. Lett. 85 2000 1863
12. H.O. Fattorini The Cauchy Problem 1983 Addison-Wesley London
13. I.R. Gabitov, and S.K. Turytsin Opt. Lett. 21 1996 327
14. Y.S. Kivshar, and D.K. Campbell Phys. Rev. E 48 1993 3077
15. J.T. Moeser Nonlinearity 18 2005 2275
16. R.S. MacKay, and S. Aubry Nonlinearity 7 1994 1623
17. J.J. Moré, D.C. Sorensen, B.S. Garbow, and K.E. Hillstrom The minpack project W.J. Cowell Sources and Development of Mathematical Software 1984 Prentice-Hall New York
18. R. Morandotti, U. Peschel, J.S. Aitchison, H.S. Eisenberg, and Y. Silberberg Phys. Rev. Lett. 83 1999 2726
19. M.J.D. Powell A hybrid method for nonlinear equations P. Rabinowitz Numerical Methods for Nonlinear Algebraic Equations 1970 Gordon and Breach New York
20. P. Panayotaros Physica D 206 2005 213
21. V.I. Petviashvili Plasma Phys. 2 1976 469
22. A. Pankov, and N. Zakharchenko Acta Appl. Math. 65 2001 295
23. J.A. Sanders, and F. Verhulst Averaging Methods in Nonlinear Dynamical Systems 1985 Springer-Verlag New York
24. M.I. Weinstein Nonlinearity 12 1999 673