Model
Digital Document
Publisher
Florida Atlantic University
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.
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.
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