A step-like approximation and a new numerical schema for the Korteweg-de Vries equation in the soliton region

We discuss a numerical schema for solving the initial value problem for the Korteweg-de Vries equation in the soliton region which is based on a new method of evaluation of bound state data. Using a step-like approximation of the initial profile and a fragmentation principle for the scattering d...

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Bibliographic Details
Main Authors: Jason Baggett, Odile Bastille, Alexei Rybkin
Format: Article
Language:English
Published: Texas State University 2013-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/40/abstr.html