CONGRUENCE SOLUTIONS TO THE LOCALIZED INDUCTION HIERARCHY IN THREE-DIMENSIONAL SPACE FORMS

Kawakubo, Satoshi

Osaka Journal of Mathematics, 2013, 50(4), 921-945

アクセス数:144件（2025-05-12 02:30 集計）

固定URL: https://doi.org/10.18910/26823

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タイトル	CONGRUENCE SOLUTIONS TO THE LOCALIZED INDUCTION HIERARCHY IN THREE-DIMENSIONAL SPACE FORMS
著者	NRID 1000080360303 1000080360303 著者名 Kawakubo, Satoshi
抄録	The localized induction hierarchy in three-dimensional space forms is studied. In particular, we determine all the generating curves of congruence solutions to each evolution equation belonging to the localized induction hierarchy. Here, a congruence solution means a solution moving without changing shape. Also, we give the characterization of some low-order soliton curves.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(4)
ページ	921-945
刊行年月	2013-12
言語	英語
ハンドルURL	https://hdl.handle.net/11094/26823
DOI	https://doi.org/10.18910/26823
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 50, Number 4　(2013-12）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2013, 50(4), p. 921-945
DC.title	CONGRUENCE SOLUTIONS TO THE LOCALIZED INDUCTION HIERARCHY IN THREE-DIMENSIONAL SPACE FORMS
DC.creator	Kawakubo, Satoshi
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2013-12
DCTERMS.abstract	The localized induction hierarchy in three-dimensional space forms is studied. In particular, we determine all the generating curves of congruence solutions to each evolution equation belonging to the localized induction hierarchy. Here, a congruence solution means a solution moving without changing shape. Also, we give the characterization of some low-order soliton curves.
DC.identifier	10.18910/26823
DC.format	26823
citation_title	CONGRUENCE SOLUTIONS TO THE LOCALIZED INDUCTION HIERARCHY IN THREE-DIMENSIONAL SPACE FORMS
citation_author	Kawakubo, Satoshi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-12
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	4
citation_firstpage	921
citation_lastpage	945
citation_public_url	https://hdl.handle.net/11094/26823
citation_doi_detail	10.18910/26823
citation_doi	https://doi.org/10.18910/26823