English

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

Computational Complexity 2010-06-03 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1006.0400,
  title  = {Computing the Solutions of the Combined Korteweg-de Vries Equation by Turing Machines},
  author = {Dianchen Lu and Qingyan Wang and Rui Zheng},
  journal= {arXiv preprint arXiv:1006.0400},
  year   = {2010}
}