Averaging of Dispersion-Managed Solitons: Existence and Stability

DOI10.1137/S0036139902400477zbMath1038.35126OpenAlexW1988197195MaRDI QIDQ4429755

Vadim Zharnitsky, Dmitry E. Pelinovsky

Publication date: 28 September 2003

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139902400477

zbMATH Keywords

dispersion managementoptical solitonsaveraging theoryGaussian approximationnormal form transformationserrors and convergence of asymptotic seriesexistence and stability of pulsesintegral NLS equationperiodic NLS equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Asymptotic analysis in optics and electromagnetic theory (78M35) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (8)

Well-posedness and blowup for the dispersion-managed nonlinear Schrödinger equation ⋮ Construction of Modulated Amplitude Waves via Averaging in Collisionally Inhomogeneous Bose–Einstein Condensates ⋮ Numerical methods for some nonlinear Schrödinger equations in soliton management ⋮ Optical solitons as ground states of NLS in the regime of strong dispersion management ⋮ Averaging of nonlinearity-managed pulses ⋮ Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation ⋮ Modified scattering for a dispersion-managed nonlinear Schrödinger equation ⋮ Complex plane representations and stationary states in cubic and quintic resonant systems

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