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Dispersion managed solitons in the presence of saturated nonlinearity

Hundertmark, Dirk; Lee, Young-Ran; Ried, Tobias; Zharnitsky, Vadim

Abstract:
The averaged dispersion managed nonlinear Schrödinger equation with saturated nonlinearity is considered. It is shown that under rather general assumptions on the saturated nonlinearity, the ground state solution corresponding to the dispersion managed soliton can be found for both zero residual dispersion and positive residual dispersion. The same applies to di_raction management solitons, which are a discrete version describing certain waveguide arrays.


Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2017
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000069441
ISSN: 2365-662X
URN: urn:nbn:de:swb:90-694411
KITopen ID: 1000069441
Verlag KIT, Karlsruhe
Umfang 12 S.
Serie CRC 1173 ; 2017/10
Schlagworte dispersion management, saturated nonlinearities, existence of solitons
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