Ground states for the higher-order dispersion managed NLS equation in the absence of average dispersion

DOI10.1016/j.jde.2004.09.014zbMath1072.35169OpenAlexW2061377728MaRDI QIDQ1763787

Vadim Zharnitsky, Jamison Moeser, Markus Kunze

Publication date: 22 February 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.09.014

zbMATH Keywords

nonlinear Schrödinger equationdispersion managementground states

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items

Interchanging space and time in nonlinear optics modeling and dispersion management models ⋮ Exponential decay of dispersion-managed solitons for general dispersion profiles ⋮ Nonlinear PDEs with Modulated Dispersion I: Nonlinear Schrödinger Equations ⋮ On non-local variational problems with lack of compactness related to non-linear optics ⋮ Ground states for Schrödinger-type equations with nonlocal nonlinearity ⋮ Maximisers for Strichartz inequalities on the torus

Cites Work

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• On a variational problem with lack of compactness related to the Strichartz inequality
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Space-time estimates for null gauge forms and nonlinear Schrödinger equations
• Bifurcation from the essential spectrum without sign condition on the nonlinearity
• Stable Pulse Solutions for the Nonlinear Schrödinger Equation with Higher Order Dispersion Management
• Stabilizing effects of dispersion management

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