Darboux Transformation and A-operator
スポンサーリンク
概要
- 論文の詳細を見る
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.
- 徳島大学の論文
- 1994-02-18
著者
-
Ohmiya Mayumi
Department Of Mathematical Sciences Faculty Of Integrated Arts And Sciences The University Of Tokush
-
MISHEV Yordan
Department of Mathematics and Physics, Higher Institute of Forestry
-
Ohmiya Mayumi
Department Of Electrical Engineering Faculty Of Engineering Doshisha University
-
Mishev Yordan
Department Of Mathematics And Physics Higher Institute Of Forestry
関連論文
- Darboux Transformation and A-operator
- On the Reflectionless Solutions of the Modified Korteweg-de Vries Equation
- On the Inverse Scattering Problem for 1-dimensional Schrodinger Operator with Integrable Potential
- On the Darboux Transformation of the 1-dimensional Schrodinger Operator and Levinson's Theorem
- A Note on Some Positive Definite 1-dimensional Schrodinger Operators with Rapidly Decreasing Potentials
- ON FIBERING CERTAIN 3-MANIFOLDS OVER THE CIRCLE
- Miura Transformation and S-Matrix