Date of Award
1978
Document Type
Thesis
Publication Status
Version of Record
Submission Date
October 2026
Abstract
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.
Extent
68 p.
Recommended Citation
ERICKSON, GARY MICHAEL, "TIME EVOLUTION OF TRUNCATED SOLITONS ACCORDING TO THE KORTEWEG-DE VRIES EQUATION" (1978). Electronic Theses and Dissertations 1970 - 1979. 665.
https://digitalcommons.fau.edu/etd_general_2/665
Identifier
FADT13950
Comments
Thesis (M.S.)--Florida Atlantic University, 1978.|Charles E. Schmidt College of Science|FAU Electronic Theses and Dissertations Collection|Thesis (M.S.)--Florida Atlantic University, 1978.