Guided waves in a multi-layered optical structure

Nonlinearity

Volumn 19, Issue 9, 2006, Pages 2103-2113

  Torres, Pedro J ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747445557     PISSN: 09517715     EISSN: 13616544     Source Type: Journal    
DOI: 10.1088/0951-7715/19/9/006     Document Type: Article

References (20)

1. Agarwal R P and O'Regan D 2001 Infinite Interval Problems for Differential, Difference and Integral Equations (Dordrecht: Kluwer)
2. Akhmediev N N 1982 Novel class of nonlinear surface waves: asymmetric modes in a symmetric layered structure Sov. Phys.-JETP 56 299-303
3. Ambrosetti A, Arcoya D and Gmez J L 1998 Asymmetric bound states of differential equations in nonlinear optics Rend. Sem. Mat. Univ. Padova 100 231-47
4. Arcoya D, Cingolani S and Gmez J L 1999 Asymmetric modes in symmetric nonlinear optical waveguides SIAM J. Math. Anal. 30 1391-400
5. Erbe L H and Mathsen R M 2001 Positive solutions for singular nonlinear boundary value problems Nonlin. Anal. 46 979-86
6. Erbe L H and Wang H 1994 On the existence of positive solutions of ordinary differential equations Proc. Am. Math. Soc. 120 743-8
7. Franco D and O'Regan D 2006 Solutions of Volterra integral equations with infinite delay Math. Nachr. at press
8. Guo D and Laksmikantham V 1988 Multiple solutions of two-point boundary value problems of ordinary differential equations in Banach spaces J. Math. Anal. Appl. 129 211-22
9. Henderson J and Wang H 1997 Positive solutions for nonlinear eigenvalue problems J. Math. Anal. Appl. 208 252-9
10. Kivshar Yu S 1998 Bright and dark spatial solitons in non-Kerr media Opt. Quant. Electron. 30 571-614
11. Krasnosel'skii M A 1964 Positive Solutions of Operator Equations (Groningen: Noordhoff)
12. Kurata K, Shibata M and Watanabe T 2005 A symmetry breaking phenomenon and asymptotic profiles of least energy solutions to a nonlinear Schrödinger equation Proc. R. Soc. Edin. A 135 1-36
13. Meehan M and O'Regan D 2002 A note on positive solutions of Volterra integral equations using integral inequalities J. Inequalities Appl. 7 285-307
14. Merivenci Atici F and Guseinov G Sh 2001 On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions J. Comput. Appl. Math. 132 341-56
15. Stuart C A 1993 Guidance properties of nonlinear planar waveguides Arch. Ration. Mech. Anal. 125 145-200
16. Ruppen H J 1997 Multiple TE-modes for planar, self-focusing wave guides Ann. Mat. Pura. Appl. (IV) CLXXII 323-77
17. Torres P J 2003 Existence of one-signed periodic solutions of some second order differential equations via a Krasnoselskii fixed point theorem J. Diff. Eqns 190 643-62
18. Watanabe T 2005 Some results for positive solutions to a nonlinear Schrödinger equation arising in nonlinear optics Nonlin. Anal. 63 e2491-4
19. Zima K 1973 Sur l'existence des solutions d'une équation intégro-différentielle Ann. Polon. Math. 27 181-7
20. Zima M 2001 On positive solutions of boundary value problems on the half-line J. Math. Anal. Appl. 259 127-36