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[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.
Classification: 5.

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.

Solution method:
Simplification by using the properties of max-plus algebra.

Restrictions:
The program can only handle single ultradiscrete equations.

Running time:
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)
  • example1 : 2725 sec
  • example2 : 33 sec
  • example3 : 1 sec