turing-computability of solution of hirota equation
- https://doi.org/10.2991/iccset-14.2015.77How to use a DOI?
- Hirota equation, Solution operation, Turing computability, TTE theory, Duhamel principle,
In this paper, we mainly discuss the Turing-computable of the Solution operation of Hirota Equation. Firstly, we prove the existence and uniqueness of the solution operator of equation by principle of contraction mapping, and acclaim that its local solution is Turing-Computable in use of TTE theory. By computable functions constructing, we extend the solution from the internal to the entire space. Then the solution of this equation is Turing-computable. The result enlarges the application in computing differential equations on digital computers.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Dianchen Lu AU - Liming Fu PY - 2015/01 DA - 2015/01 TI - turing-computability of solution of hirota equation BT - Proceedings of the 2014 International Conference on Computer Science and Electronic Technology PB - Atlantis Press SP - 347 EP - 351 SN - 2352-538X UR - https://doi.org/10.2991/iccset-14.2015.77 DO - https://doi.org/10.2991/iccset-14.2015.77 ID - Lu2015/01 ER -