Thresholds for Existence of Dispersion Management Solitons for General Nonlinearities

DOI10.1137/15M103666XzbMath1432.35184arXiv1508.05888MaRDI QIDQ5737796

Mi-Ran Choi, Young-Ran Lee, Dirk Hundertmark

Publication date: 30 May 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05888

zbMATH Keywords

variational problemgeneral nonlinearitythreshold phenomenondispersion management soliton

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Existence theories for free problems in two or more independent variables (49J10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)

Related Items (9)

Averaging of dispersion managed nonlinear Schrödinger equations ⋮ Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities ⋮ Discrete diffraction managed solitons: Threshold phenomena and rapid decay for general nonlinearities ⋮ Continuum limit related to dispersion managed nonlinear Schrödinger equations ⋮ Dispersion managed solitons in the presence of saturated nonlinearity ⋮ Well-posedness of dispersion managed nonlinear Schrödinger equations ⋮ Uniqueness of a Minimizer for a Variational Problem Related to the Dispersion Managed Nonlinear Schrödinger Equation ⋮ On dispersion managed nonlinear Schrödinger equations with lumped amplification ⋮ Maximisers for Strichartz inequalities on the torus

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