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

Dianchen Lu
(Jiangsu University)
Qingyan Wang
(Jiangsu University)
Rui Zheng
(Jiangsu University)

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.

In Xizhong Zheng and Ning Zhong: Proceedings Seventh International Conference on Computability and Complexity in Analysis (CCA 2010), Zhenjiang, China, 21-25th June 2010, Electronic Proceedings in Theoretical Computer Science 24, pp. 101–105.
Published: 3rd June 2010.

ArXived at: http://dx.doi.org/10.4204/EPTCS.24.14 bibtex PDF

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