Deriving average soliton equations with a perturbative method

Journal Article · Sun Jan 01 04:00:00 EST 1995 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.51.825· OSTI ID:6712168

Ballantyne, G J; Gough, P T; Taylor, D P ^[1]

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1. Communications Research Centre, Department of Electrical and Electronic Engineering, University of Canterbury, Private Bag 4800, Christchurch (New Zealand)

The method of multiple scales is applied to periodically amplified, lossy media described by either the nonlinear Schroedinger (NLS) equation or the Korteweg--de Vries (KdV) equation. An existing result for the NLS equation, derived in the context of nonlinear optical communications, is confirmed. The method is then applied to the KdV equation and the result is confirmed numerically.

• OSTI ID: 6712168
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 51:1; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIBER OPTICS
FIBERS
KORTEWEG-DE VRIES EQUATION
NONLINEAR OPTICS
OPTICAL FIBERS
OPTICS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
QUASI PARTICLES
SCHROEDINGER EQUATION
SOLITONS
WAVE EQUATIONS