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ID 27763
本文ファイル
著者
Gao, Min
キーワード
Ultradiscrete equations
Soliton solutions
Max-plus algebra
Computer algebra
NDC
電気工学
抄録(英)
We present a Computer algebra program for verifying soliton solutions of ultradiscrete equations in which both dependent and independent variables take discrete values. The package is applicable to equations and solutions that include the max function. The program is implemented using Maple software. Program summary Program title: Ultde Catalogue identifier: AEDB_v1_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEDB_v1_0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 3171 No. of bytes in distributed program, including test data, etc.: 13633 Distribution format: tar.gz Programming language: Maple 10 Computer: PC/AT compatible machine Operating system: Windows 2000, Windows XP RAM: Depends on the problem: minimum about 1 GB Wordsize: 32 bits 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 3 GHz, Windows XP) Example 1: 2725 sec. Example 2: 33 sec. Example 3: 1 sec
掲載誌名
Computer Physics Conmunications
180巻
7号
開始ページ
1196
終了ページ
1205
出版年月日
2009
出版者
Elsevier Science Bv
ISSN
0010-4655
NCID
出版者DOI
言語
英語
NII資源タイプ
学術雑誌論文
広大資料タイプ
学術雑誌論文
DCMIタイプ
text
フォーマット
application/pdf
著者版フラグ
author
権利情報
Copyright (c) 2009 Elsevier B.V.
関連情報URL
部局名
工学研究科



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