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Commuting flows and conservation laws for noncommutative Lax hierarchies
http://hdl.handle.net/2237/7069
0dec29ad-26ce-4a48-91a8-631be085ea84
名前 / ファイル | ライセンス | アクション | |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2006-10-25 | |||||
タイトル | ||||||
タイトル | Commuting flows and conservation laws for noncommutative Lax hierarchies | |||||
著者 |
Hamanaka, Masashi
× Hamanaka, Masashi |
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権利 | ||||||
権利情報 | Copyright (2005) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. | |||||
抄録 | ||||||
内容記述 | We discuss commuting flows and conservation laws for Lax hierarchies on noncommutative spaces in the framework of the Sato theory. On commutative spaces, the Sato theory has revealed essential aspects of the integrability for wide class of soliton equations which are derived from the Lax hierarchies in terms of pseudodifferential operators. Noncommutative extension of the Sato theory has been already studied by the author and Toda, and the existence of various noncommutative Lax hierarchies are guaranteed. In this paper, we present conservation laws for the noncommutative Lax hierarchies with both space–space and space–time noncommutativities and prove the existence of infinite number of conserved densities. We also give the explicit representations of them in terms of Lax operators. Our results include noncommutative versions of KP, KdV, Boussinesq, coupled KdV, Sawada- Kotera, modified KdV equation and so on. | |||||
内容記述タイプ | Abstract | |||||
出版者 | ||||||
出版者 | American Institute of Physics | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプresource | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
DOI | ||||||
関連識別子 | ||||||
識別子タイプ | DOI | |||||
関連識別子 | http://dx.doi.org/10.1063/1.1865321 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0022-2488 | |||||
書誌情報 |
Journal of Mathematical Physics 巻 46, 号 5, p. 052701-052701, 発行日 2005-05 |
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application/pdf | ||||||
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値 | publisher | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2237/7069 | |||||
識別子タイプ | HDL |