Stability of dispersion managed solitons for vanishing average dispersion

Dirk Hundertmark, Peer Christian Kunstmann, Roland Schnaubelt

Type: Article

Publication Date: 2015-02-21

Citations: 11

DOI: https://doi.org/10.1007/s00013-015-0731-z

View Publication

Locations

Archiv der Mathematik - View

Similar Works

Action	Title	Year	Authors
+	Exponential decay of dispersion managed solitons for vanishing average dispersion	2010	M. Burak Erdoğan Dirk Hundertmark Young-Ran Lee
+	Exponential decay of dispersion managed solitons for vanishing average dispersion	2010	M. Burak Erdoğan Dirk Hundertmark Young-Ran Lee
+ PDF Chat	Exponential Decay of Dispersion-Managed Solitons for General Dispersion Profiles	2015	William R. Green Dirk Hundertmark
+ PDF Chat	Exponential decay of dispersion managed solitons for vanishing average dispersion	2011	M. Burak Erdoğan Dirk Hundertmark Young-Ran Lee
+	Diffraction Managed Solitons with Zero Mean Diffraction	2006	Milena Stanislavova
+	Exponential Decay for dispersion managed solitons for general dispersion profiles	2012	William R. Green Dirk Hundertmark
+	Exponential Decay for dispersion managed solitons for general dispersion profiles	2012	William R. Green Dirk Hundertmark
+ PDF Chat	On the boundary of the dispersion-managed soliton existence	2000	Pavel M. Lushnikov
+	Damping of soliton oscillations in media with a negative dispersion law	1985	Sergey Burtsev
+	Spatial dispersion of nonlinearity and stability of multidimensional solitons	1985	Sergei K. Turitsyn
+ PDF Chat	Stabilization of the Peregrine soliton and Kuznetsov–Ma breathers by means of nonlinearity and dispersion management	2018	Jesús Cuevas–Maraver Boris A. Malomed P. G. Kevrekidis D. J. Frantzeskakis
+ PDF Chat	Averaged dynamics of soliton molecules in dispersion-managed optical fibers	2014	S. M. Alamoudi U. Al Khawaja B. B. Baizakov
+	Stability of Solitons	1999	E. A. Kuznetsov
+ PDF Chat	Stable autosolitons in dispersive media with saturable gain and absorption	2000	Boris A. Malomed A. G. Vladimirov G. V. Khodova N. N. Rosanov
+	On Dispersion Managed Solitons	2008	Dirk Hundertmark Young-Ran Lee
+ PDF Chat	Dispersion managed generation of Peregrine solitons and Kuznetsov-Ma breather in an optical fiber	2021	Dipti Kanika Mahato A. Govindarajan M. Lakshmanan Amarendra K. Sarma
+	Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion	2000	V. I. Karpman A. G. Shagalov
+	The stability of solitons	1985	Iu. P. Rybakov
+ PDF Chat	Stability of Spatial Optical Solitons	2001	Yuri S. Kivshar Andrey A. Sukhorukov
+ PDF Chat	Dispersion-managed soliton in optical fibers with zero average dispersion	2000	Pavel M. Lushnikov

Works That Cite This (11)

Action	Title	Year	Authors
+	On dispersion managed nonlinear Schrödinger equations with lumped amplification	2020	Mi-Ran Choi Younghoon Kang Young-Ran Lee
+ PDF Chat	Averaging of dispersion managed nonlinear Schrödinger equations	2022	Mi-Ran Choi Young-Ran Lee
+ PDF Chat	Well–posedness of dispersion managed nonlinear Schrödinger equations	2022	Mi-Ran Choi Dirk Hundertmark Young-Ran Lee
+ PDF Chat	Continuum limit related to dispersion managed nonlinear Schrödinger equations	2023	Mi-Ran Choi Young-Ran Lee
+	On the well-posedness of the Cauchy problem for some nonlocal nonlinear Schrödinger equations	2017	John Albert Estapraq Kahlil
+	Maximizers for Strichartz Inequalities on the Torus	2020	Oreoluwa Adekoya John Albert
+	Maximisers for Strichartz inequalities on the torus	2021	Oreoluwa Adekoya John Albert
+ PDF Chat	On dispersion managed nonlinear Schrödinger equations with lumped amplification	2021	Mi-Ran Choi Younghoon Kang Young-Ran Lee
+ PDF Chat	Interchanging Space and Time in Nonlinear Optics Modeling and Dispersion Management Models	2022	Reika Fukuizumi Guido Schneider
+	On dispersion managed nonlinear Schr\"odinger equations with lumped amplification	2020	Mi-Ran Choi Younghoon Kang Young-Ran Lee

Works Cited by This (9)

Action	Title	Year	Authors
+	Exponential Decay for dispersion managed solitons for general dispersion profiles	2012	William R. Green Dirk Hundertmark
+	Regularity of ground state solutions of dispersion managed nonlinear schrödinger equations	2004	Milena Stanislavova
+	On a variational problem with lack of compactness related to the Strichartz inequality	2004	Markus Kunze
+	Orbital stability of standing waves for some nonlinear Schr�dinger equations	1982	Thierry Cazenave Pierre‐Louis Lions
+	Stabilizing effects of dispersion management	2001	Vadim Zharnitsky Emmanuel Grenier Christopher K. R. T. Jones Sergei K. Turitsyn
+ PDF Chat	Exponential decay of dispersion managed solitons for vanishing average dispersion	2011	M. Burak Erdoğan Dirk Hundertmark Young-Ran Lee
+ PDF Chat	Decay Estimates and Smoothness for Solutions of the Dispersion Managed Non-linear Schrödinger Equation	2008	Dirk Hundertmark Young-Ran Lee
+ PDF Chat	Exponential Decay of Dispersion-Managed Solitons for General Dispersion Profiles	2015	William R. Green Dirk Hundertmark
+ PDF Chat	On Non-local Variational Problems with Lack of Compactness Related to Non-linear Optics	2011	Dirk Hundertmark Young-Ran Lee