Nonlinearity management in higher dimensions

Journal of Physics A: Mathematical and General

Volumn 39, Issue 3, 2006, Pages 479-488

  Kevrekidis, P G ^a   Pelinovsky, D E ^b   Stefanov, A ^c  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

^b MCMASTER UNIVERSITY   (Canada)

^c UNIVERSITY OF KANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 29244462888     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/39/3/002     Document Type: Article

References (30)

1. Towers I and Malomed B A 2002 J. Opt. Soc. Am. 19 537
2. Bergé L et al 2000 Opt. Lett. 25 1037
3. Inouye S et al 1998 Nature 392 151
4. Stenger J et al 1999 Phys. Rev. Lett. 82 2422
5. Roberts J L et al 1998 Phys. Rev. Lett. 81 5109
6. Cornish S L et al 2000 Phys. Rev. Lett. 85 1795
7. Donley E A et al 2001 Nature 412 295
8. Kevrekidis P G, Theocharis G, Frantzeskakis D J and Malomed B A 2003 Phys. Rev. Lett. 90 230401
9. Abdullaev F Kh, Caputo J G, Kraenkel R A and Malomed B A 2003 Phys. Rev. A 67 013605
10. Saito H and Ueda M 2003 Phys. Rev. Lett. 90 040403
11. Montesinos G D, Pérez-García V M and Torres P J 2004 Physica D 191 193
12. Konotop V V and Pacciani P 2005 Phys. Rev. Lett. 94 240405
13. Gabitov I and Turitsyn S 1996 Opt. Lett. 21 327
14. Ablowitz M J and Biondini G 1998 Opt. Lett. 23 1668
15. Pelinovsky D E, Kevrekidis P G and Frantzeskakis D J 2003 Phys. Rev. Lett. 91 240201
16. Pelinovsky D E, Kevrekidis P G, Frantzeskakis D J and Zharnitsky V 2004 Phys. Rev. E 70 047604
17. Zharnitsky V and Pelinovsky D E 2005 Chaos 15 037105
18. Kuznetsov E A, Rubenchik A M and Zakharov V E 1986 Phys. Rep. 142 103
19. Abdullaev F Kh and Garnier J 2005 Phys. Rev. E 72 035603 (R)
20. Sulem C and Sulem P 1999 The Nonlinear Schrödinger Equation, Self-Focusing and Wave Collapse (New York: Springer)
21. Derrick G H 1964 J. Math. Phys. 5 1252
22. Poppenberg M 2001 Nonlinear Anal. 45 723
23. Kenig C E 2002 The Cauchy Problem for the Quasilinear Schrödinger Equation (IAS/Park city Mathematics Series)
24. Cuccagna S, Kirr E and Pelinovsky D 2006 J. Diff. Eqns 220 85
25. Grafakos L 2004 Classical and Modern Analysis (Englewood Cliffs, NJ: Pearson/Prentice-Hall)
26. Garcia-Ripoll J J, Konotop V V, Malomed B and Perez-Garcia V M 2003 Math. Comp. Simul. 62 21
27. Ermakov V P 1880 Univ. Izv. Kiev 20 1
28. Pinney E 1950 Proc. Am. Math. Soc. 1 681
29. King C and Lesniewski A 1997 Lett. Math. Phys. 39 367
30. Fibich G and Papanicolaou G 2000 SIAM J. Appl. Math. 60 183