Diffraction managed solitons with zero mean diffraction
From MaRDI portal
Publication:2641358
DOI10.1007/s10884-006-9054-xzbMath1125.49005OpenAlexW2092555522MaRDI QIDQ2641358
Publication date: 20 August 2007
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-006-9054-x
Variational inequalities (49J40) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Waves and radiation in optics and electromagnetic theory (78A40)
Related Items (4)
Discrete diffraction managed solitons: Threshold phenomena and rapid decay for general nonlinearities ⋮ Continuum limit related to dispersion managed nonlinear Schrödinger equations ⋮ On non-local variational problems with lack of compactness related to non-linear optics ⋮ Super-exponential decay of diffraction managed solitons
Cites Work
- On a variational problem with lack of compactness related to the Strichartz inequality
- On the growth of high Sobolev norms of solutions for KdV and Schrödinger equations
- Dynamics of systems on infinite lattices
- The global Cauchy problem for the nonlinear Schrödinger equation revisited
- On the existence of a maximizer for the Strichartz inequality
- Regularity of ground state solutions of dispersion managed nonlinear Schrödinger equations
- The singular perturbation limit of a variational problem from nonlinear fiber optics
- Maximizers for the Strichartz inequality
- Breather solutions in the diffraction managed NLS equation
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Bifurcation from the essential spectrum without sign condition on the nonlinearity
- Infinitely many radial solutions of a variational problem related to dispersion-managed optical fibers
- Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations
- Diffraction managed solitons: asymptotic validity and excitation thresholds
- Stabilizing effects of dispersion management
This page was built for publication: Diffraction managed solitons with zero mean diffraction
