Stability of Pulses in Nonlinear Optical Fibers Using Phase-Sensitive Amplifiers

DOI10.1137/S0036139994277609zbMath0851.35124OpenAlexW2081124631MaRDI QIDQ4881327

William L. Kath, J. Nathan Kutz

Publication date: 18 November 1996

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

Full work available at URL: https://doi.org/10.1137/s0036139994277609

zbMATH Keywords

Kuramoto-Sivashinsky equationSwift-Hohenberg equationsfourth-order nonlinear diffusion equationstability of soliton-like pulses

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32)

Related Items (4)

Existence and stability of \(N\)-pulses on optical fibers with phase-sensitive amplifiers ⋮ On the stability of periodic travelling waves with large spatial period ⋮ Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics ⋮ Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations

Uses Software

• AUTO
• AUTO-86

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