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
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。
FullText File
language
eng