Dispersion managed solitons in the presence of saturated nonlinearity

DOI10.1016/j.physd.2017.06.004zbMath1378.35279OpenAlexW2708725126MaRDI QIDQ1691266

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

Publication date: 15 January 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://publikationen.bibliothek.kit.edu/1000069441

zbMATH Keywords

dispersion managementground statesdiffraction managementsaturated nonlinearity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods applied to PDEs (35A15) Diffraction, scattering (78A45) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (4)

Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities ⋮ Uniqueness of a Minimizer for a Variational Problem Related to the Dispersion Managed Nonlinear Schrödinger Equation ⋮ Multiplicity and concentration results for local and fractional NLS equations with critical growth ⋮ Normalized solutions for fractional nonlinear scalar field equations via Lagrangian formulation

Cites Work

• Maximizers for the Strichartz inequalities for the wave equation.
• Existence of maximizers for Sobolev-Strichartz inequalities
• The global Cauchy problem for the nonlinear Schrödinger equation revisited
• On the existence of a maximizer for the Strichartz inequality
• Maximizers for the Strichartz inequality
• A Sharp Inequality for the Strichartz Norm
• On sharp Strichartz inequalities in low dimensions
• Discrete diffraction managed solitons: Threshold phenomena and rapid decay for general nonlinearities
• Thresholds for Existence of Dispersion Management Solitons for General Nonlinearities

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