Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] aedb_v1_0.tar.gz(13 Kbytes)|
|Manuscript Title: A Maple package for verifying ultradiscrete soliton solutions|
|Authors: Min Gao, Masaaki Ito|
|Program title: Ultde|
|Catalogue identifier: AEDB_v1_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 180(2009)1196|
|Programming language: Maple 10.|
|Computer: PC/AT compatible machine.|
|Operating system: Windows 2000, Windows XP.|
|RAM: Depends on the problem; minimum about 1G bytes.|
|Word size: 32 bits|
|Keywords: Ultradiscrete equations, Soliton solutions, Max-plus algebra, Computer algebra.|
|PACS: 02.30.Ik, 02.70.Wz.|
Nature of problem:
The existence of multi-soliton solutions strongly suggest the integrability of nonlinear evolution equations. However enormous calculation is required to verify multi-soliton solutions of ultradiscrete equations. The use of computer algebra can be helpful in such calculations.
Simplification by using the properties of max-plus algebra.
The program can only handle single ultradiscrete equations.
Depends on the complexity of the equation and solution. For the examples included in the distribution the run times are as follows.
(Core 2 Duo 3GHz, Windows XP)
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