Fundamental solitons in discrete lattices with a delayed nonlinear response

Chaos

Volumn 20, Issue 4, 2010, Pages

  Maluckov, A ^a   Hadzievski L ^b   Malomed, B A ^c  

^a UNIVERSITY OF NI   (Serbia)

^b UNIVERSITY OF BELGRADE   (Serbia)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 78650681759     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3493407     Document Type: Article

References (28)

1. Balanov A.G. Janson N.B. Schöll E. Phys. Rev. E 2005, 71:016222. PLEEE8, 1063-651X, 10.1103/PhysRevE.71.016222
2. Ahlborn A. Parlitz U. Phys. Rev. E 2005, 72:016206. PLEEE8, 1063-651X, 10.1103/PhysRevE.72.016206
3. Wu Y.Y. Wu Y.Q. International Journal of Automation and Computing 2009, 6:223. 10.1007/s11633-009-0223-3
4. Lin C.T. Nein H.W. Lin W.-C. Int. J. Neural Syst. 1999, 9:311. IJSZEG, 0129-0657, 10.1142/S0129065799000319
5. Liao X. Wang J. Phys. Rev. E 2003, 68:016118. PLEEE8, 1063-651X, 10.1103/PhysRevE.68.016118
6. Canabarro A.A. Gleria I.M. Lyra M.L. Physica A 2004, 342:234. PHYADX, 0378-4371, 10.1016/j.physa.2004.04.083
7. Mather W. Bennett M.R. Hasty J. Tsimring L.S. Phys. Rev. Lett. 2009, 102:068105. PRLTAO, 0031-9007, 10.1103/PhysRevLett.102.068105
8. Awrejcewicz J. Acta Mech. 1989, 77:111. AMHCAP, 0001-5970, 10.1007/BF01379746.
9. Yariv A. Xu Y. Lee R.K. Scherer A. Opt. Lett. 1999, 24:711. OPLEDP, 0146-9592, 10.1364/OL.24.000711
10. Chou C.S. Shih M.F. J. Opt. A, Pure Appl. Opt. 2009, 11:105204. JOAOF8, 1464-4258, 10.1088/1464-4258/11/10/105204
11. Poon J.K. S. Scheuer J. Mookherjea S. Paloczi G.T. Huang Y.Y. Yariv A. Opt. Express 2004, 12:90. OPEXFF, 1094-4087, 10.1364/OPEX.12.000090
12. Kouomou Y.C. Colet P. Larger L. Gastaud N. Phys. Rev. Lett. 2005, 95:203903. PRLTAO, 0031-9007, 10.1103/PhysRevLett.95.203903
13. Poon J.K. S. Scheuer J. Yariv A. J. Opt. Soc. Am. B 2004, 21:1665. JOBPDE, 0740-3224, 10.1364/JOSAB.21.001665
14. Cohen A.B. Tavoori B. Murphy T.E. Roy R. Phys. Rev. Lett. 2008, 101:154102. PRLTAO, 0031-9007, 10.1103/PhysRevLett.101.154102
15. Carr T.W. Eur. Phys. J. D 2002, 19:245. EPJDF6, 1434-6060, 10.1007/s10053-002-8873-5.
16. Larger L. Lacourt P.-A. Poinsot S. Hanna M. Phys. Rev. Lett. 2005, 95:043903. PRLTAO, 0031-9007, 10.1103/PhysRevLett.95.043903
17. de Moura F.A. B. F. Gleria I. dos Santos I.F. Lyra M.L. Phys. Rev. Lett. 2009, 103:096401. PRLTAO, 0031-9007, 10.1103/PhysRevLett.103.096401
18. The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations, and Physical Perspectives 2009, P. G. Kevrekidis, edited by (Springer-Verlag, Berlin Heidelberg).
19. Mori T. Fukuma N. Kuwahara M. IEEE Trans. Autom. Control 1982, 27:964. IETAA9, 0018-9286, 10.1109/TAC.1982.1103030
20. Amann A. Schöll E. Just W. Physica A 2007, 373:191. PHYADX, 0378-4371, 10.1016/j.physa.2005.12.073
21. Hout K.J. IMA J. Numer. Anal. 1997, 17:17. IJNADH, 0272-4979, 10.1093/imanum/17.1.17.
22. Engelborghs K. Luzyanina T. Roose D. J. Comput. Appl. Math. 2000, 125:265. JCAMDI, 0377-0427, 10.1016/S0377-0427(00)00472-6
23. Corwin S.P. Sarafyan D. Thompson S. Appl. Numer. Math. 1997, 24:319. ANMAEL, 0168-9274, 10.1016/S0168-9274(97)00029-9
24. Engelborghs K. Luzyanina T. Samaey G. and.
25. Aubry S. Kivshar Y. Campbell D.K. Phys. Rev. E 1993, 48:3077. PDNPDT, 0167-2789, 10.1016/0167-2789(83)90129-X, PLEEE8, 1063-651X, 10.1103/PhysRevE.48.3077
26. Aubry S. Cretegny T. Maluckov A. Hadzievski L. Stepić M. Gligorić G. Maluckov A. Hadžievski L. Malomed B.A. Phys. Rev. A 2008, 78:063615. PDNPDT, 0167-2789, 10.1016/S0167-2789(98)00062-1, PDNPDT, 0167-2789, 10.1016/j.physd.2005.12.011, PLRAAN, 1050-2947, 10.1103/PhysRevA.78.063615
27. Corless R.M. Gonnet G.H. Hare D.E. G. Jeffrey G.J. Knuth D.E. Adv. Comput. Math. 1996, 5:329. ACMHEX, 1019-7168, 10.1007/BF02124750
28. Salasnich L. Cetoli A. Malomed B.A. Toigo F. Phys. Rev. A 2007, 75:033622. PLRAAN, 1050-2947, 10.1103/PhysRevA.75.033622