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A Maple package for verifying ultradiscrete soliton solutions
https://hiroshima.repo.nii.ac.jp/records/2006700
https://hiroshima.repo.nii.ac.jp/records/20067004c4d275f-88f1-4803-9de7-e15356a37376
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
CPC_180_1196.pdf (182.8 KB)
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| Item type | デフォルトアイテムタイプ_（フル）(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2023-03-18 | |||||||||
| タイトル | ||||||||||
| タイトル | A Maple package for verifying ultradiscrete soliton solutions | |||||||||
| 言語 | en | |||||||||
| 作成者 |
Gao, Min
× Gao, Min
× Ito, Masaaki
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| アクセス権 | ||||||||||
| アクセス権 | open access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
| 権利情報 | ||||||||||
| 権利情報 | Copyright (c) 2009 Elsevier B.V. | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Ultradiscrete equations | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Soliton solutions | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Max-plus algebra | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Computer algebra | |||||||||
| 主題 | ||||||||||
| 主題Scheme | NDC | |||||||||
| 主題 | 540 | |||||||||
| 内容記述 | ||||||||||
| 内容記述 | 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 | |||||||||
| 言語 | en | |||||||||
| 出版者 | ||||||||||
| 出版者 | Elsevier Science Bv | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | journal article | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | AO | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_b1a7d7d4d402bcce | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | 10.1016/j.cpc.2009.01.009 | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | http://dx.doi.org/10.1016/j.cpc.2009.01.009 | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0010-4655 | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA00613344 | |||||||||
| 開始ページ | ||||||||||
| 開始ページ | 1196 | |||||||||
| 書誌情報 |
Computer Physics Conmunications Computer Physics Conmunications 巻 180, 号 7, p. 1196-1205, 発行日 2009 |
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| 旧ID | 27763 | |||||||||
