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  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

Commuting flows and conservation laws for noncommutative Lax hierarchies

http://hdl.handle.net/2237/7069
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
JMathPhys_46_052701.pdf JMathPhys_46_052701.pdf (132.3 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2006-10-25
タイトル
タイトル Commuting flows and conservation laws for noncommutative Lax hierarchies
言語 en
著者 Hamanaka, Masashi

× Hamanaka, Masashi

WEKO 14076

en Hamanaka, Masashi

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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
言語 en
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.
言語 en
内容記述タイプ Abstract
出版者
言語 en
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
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
DOI
関連タイプ isVersionOf
識別子タイプ DOI
関連識別子 https://doi.org/10.1063/1.1865321
ISSN
収録物識別子タイプ PISSN
収録物識別子 0022-2488
書誌情報 en : Journal of Mathematical Physics

巻 46, 号 5, p. 052701-052701, 発行日 2005-05
フォーマット
application/pdf
著者版フラグ
値 publisher
URI
識別子 http://hdl.handle.net/2237/7069
識別子タイプ HDL
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