| ID | 100 |
| Author |
Ohmiya, Mayumi
Department of Mathematical Sciences, Faculty of Integrated Arts and Sciences, The University of Tokushima
Mishev, Yordan P.
Department of Mathematics and Physics, Higher Institute of Forestry
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| Content Type |
Departmental Bulletin Paper
|
| Description | Firstly, the fundamental equality of Darboux transformation of the differential operator H(u)=-∂^2+u is proved based on the Kupershmidt-Wilson factorization of the associated ∧-operator ∧(u)=∂^<-1>・(2^<-1>u'+u∂-4^<-1>∂^3). Secondly, elementary algebraic properties of the Darboux transformation are studied with the aid of ∧-operator. Finally, as an application of the fundamental equality of Darboux transformation, solutions of the higher order KdV equation are constructed.
|
| Journal Title |
Journal of mathematics, Tokushima University
|
| ISSN | 00754293
|
| NCID | AA00701816
|
| Volume | 27
|
| Start Page | 1
|
| End Page | 15
|
| Sort Key | 1
|
| Published Date | 1994-02-18
|
| Remark | 公開日:2010年1月24日で登録したコンテンツは、国立情報学研究所において電子化したものです。
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| FullText File | |
| language |
eng
|
