@article{c4ae9442107f49cdbde628edeb14f66f,
title = "Dispersion managed solitons in the presence of saturated nonlinearity",
abstract = "The averaged dispersion managed nonlinear Schr{\"o}dinger 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 diffraction management solitons, which are a discrete version describing certain waveguide arrays.",
keywords = "Diffraction management, Dispersion management, Ground states, Saturated nonlinearity",
author = "Dirk Hundertmark and Lee, {Young Ran} and Tobias Ried and Vadim Zharnitsky",
note = "Y.-R. Lee and V. Zharnitsky thank the Department of Mathematics at KIT and D. Hundertmark thanks the Department of Mathematics at Sogang University for their warm hospitality. D. Hundertmark and T. Ried gratefully acknowledge financial support by the Deutsche Forschungsgemeinschaft (DFG) through CRC 1173 {\textquoteleft}Wave Phenomena{\textquoteright}. D. Hundertmark also thanks the Alfried Krupp von Bohlen und Halbach Foundation for financial support. Y.-R. Lee thanks the National Research Foundation of Korea (NRF) for financial support funded by the Ministry of Education (No. 2014R1A1A2058848). V. Zharnitsky thanks Simons foundation for partial support (#278840 to Vadim Zharnitsky). Y.-R. Lee and V. Zharnitsky thank the Department of Mathematics at KIT and D. Hundertmark thanks the Department of Mathematics at Sogang University for their warm hospitality. D. Hundertmark and T. Ried gratefully acknowledge financial support by the Deutsche Forschungsgemeinschaft (DFG) through CRC 1173 {\textquoteleft}Wave Phenomena{\textquoteright}. D. Hundertmark also thanks the Alfried Krupp von Bohlen und Halbach Foundation for financial support. Y.-R. Lee thanks the National Research Foundation of Korea (NRF) for financial support funded by the Ministry of Education (No. 2014R1A1A2058848 ). V. Zharnitsky thanks Simons foundation for partial support ( #278840 to Vadim Zharnitsky).",
year = "2017",
month = oct,
day = "1",
doi = "10.1016/j.physd.2017.06.004",
language = "English (US)",
volume = "356-357",
pages = "65--69",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier B.V.",
}