Computing the Solutions of the Combined Korteweg-de Vries Equation by Turing Machines

In this paper, we study the computability of the initial value problem of the Combined KdV equation. It is shown that, for any integer s>2, the nonlinear solution operator which maps an initial condition data to the solution of the Combined KdV equation can be computed by a Turing machine.

Bibliographic Details
Main Authors: Dianchen Lu, Qingyan Wang, Rui Zheng
Format: Article
Language:English
Published: Open Publishing Association 2010-06-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1006.0400v1