TY - JOUR
T1 - Dispersion managed solitons in the presence of saturated nonlinearity
AU - Hundertmark, Dirk
AU - Lee, Young Ran
AU - Ried, Tobias
AU - Zharnitsky, Vadim
N1 - Funding Information:
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 ‘Wave Phenomena’. 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).
Funding Information:
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 ‘Wave Phenomena’. 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).
Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2017/10/1
Y1 - 2017/10/1
N2 - 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 diffraction management solitons, which are a discrete version describing certain waveguide arrays.
AB - 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 diffraction management solitons, which are a discrete version describing certain waveguide arrays.
KW - Diffraction management
KW - Dispersion management
KW - Ground states
KW - Saturated nonlinearity
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U2 - 10.1016/j.physd.2017.06.004
DO - 10.1016/j.physd.2017.06.004
M3 - Article
AN - SCOPUS:85025467205
VL - 356-357
SP - 65
EP - 69
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
ER -