Effects of higher-order dispersion on envelope solitons

Journal Article · Tue May 01 00:00:00 EDT 1990 · Physics of Fluids B; (USA)

DOI:https://doi.org/10.1063/1.859288· OSTI ID:6829611

Kuehl, H H; Zhang, C Y ^[1]

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1. University of Southern California, Los Angeles, California 90089-0271 (USA)

The soliton modifications resulting from the addition of a small third derivative term, due to higher-order dispersion, to the nonlinear Schroedinger equation are investigated. Based on direct perturbation theory, it is shown that through first order, the soliton phase and velocity are modified, but the shape, amplitude, and width are unchanged. The radiation stimulated by the third derivative term, which is not predicted by the perturbation theory, is also derived. The expression obtained confirms the result of Wai (Ph.D. thesis, University of Maryland, 1988), which was obtained by a different method. The rate of change of the soliton amplitude due to this radiation, which emerges in front of the soliton, is calculated. The nonlinear term that drives the radiation is shown to grow to a value that is much larger than the unperturbed value.

• OSTI ID: 6829611
• Journal Information: Physics of Fluids B; (USA), Vol. 2:5; ISSN 0899-8221
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
OPTICAL FIBERS
SOLITONS
PLASMA
AMPLITUDES
EQUATIONS
MODIFICATIONS
NONLINEAR PROBLEMS
OPTICAL DISPERSION
PERTURBATION THEORY
SCHROEDINGER EQUATION
SERIES EXPANSION
SHAPE
VELOCITY
WIDTH
DIFFERENTIAL EQUATIONS
DIMENSIONS
FIBERS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
WAVE EQUATIONS
640410* - Fluid Physics- General Fluid Dynamics