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TIME EVOLUTION OF TRUNCATED SOLITONS ACCORDING TO THE KORTEWEG-DE VRIES EQUATION
Title
TIME EVOLUTION OF TRUNCATED SOLITONS ACCORDING TO THE KORTEWEG-DE VRIES EQUATION.
Creator
ERICKSON, GARY MICHAEL., Florida Atlantic University
Abstract/Description
The long-time behavior of the solution for x >> t^1/3 of the Korteweg-de Vries equation is found when the initial data consists of a right or left-truncated soliton. The initial data in either case is found to evolve into a complete soliton of smaller amplitude. The amplitude, velocity, and phase shift of the resultant soliton is explicitly given, and the emergence of this soliton from the initial disturbance is described in both cases.
Date Issued
1978
PURL
http://purl.flvc.org/fcla/dt/13950
Subject Headings
Solitons, Plasma dynamics, Nonlinear waves, Wave equation
Format
Document (PDF)
MODE-MODE COUPLING OF PLASMA WAVES IN SYSTEMS WITH STRONG NON-LINEARITIES
Title
MODE-MODE COUPLING OF PLASMA WAVES IN SYSTEMS WITH STRONG NON-LINEARITIES.
Creator
LODDEN, JAMES ALAN, Florida Atlantic University, Charles E. Schmidt College of Science, Department of Physics
Abstract/Description
The coupled equations of motion describing electrostatic plasma oscillations are derived using a collective coordinate approach. The boundary between the physical and nonphysical regions of phase space is discussed. The two mode case is studied in detail for both small and large initial disturbances. For small initial disturbances the motion was found to be periodic. For large initial disturbances, non-periodic growing solutions were found that approached one of two asymptotic limits. For...
Show moreThe coupled equations of motion describing electrostatic plasma oscillations are derived using a collective coordinate approach. The boundary between the physical and nonphysical regions of phase space is discussed. The two mode case is studied in detail for both small and large initial disturbances. For small initial disturbances the motion was found to be periodic. For large initial disturbances, non-periodic growing solutions were found that approached one of two asymptotic limits. For these solutions, the variables became infinitely large in a finite time.
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Date Issued
1976
PURL
http://purl.flvc.org/fcla/dt/13828
Subject Headings
Coupled mode theory, Plasma waves
Format
Document (PDF)