The Marchenko Equation of the Hilbert-Schmidt Type for the N×N Zakharov-Shabat Operator : General and Mathematical Physics
スポンサーリンク
概要
- 論文の詳細を見る
The Marchenko equation for the N×N Zakharov-Shabat operator on the line is given via the Riemann-Hilbert problem. It is derived on the basis of the direct spectral problem which was solved through the Fredholm integral equation. In the N×N case we obtain a coupled Marchenko equations. The integral kernel of the Marchenko equation is shown to be of the Hilbert-Schmidt type for a general class of Schwarz type potentials and hence in the inverse problem the equation is solvable by the theorem of the Fredholm alternatives. Finally reduction to the 2×2 case is briefly discussed.
- 理論物理学刊行会の論文
- 1988-11-25
著者
-
KATO Yusuke
Laboratory of Biological Defense, National Institute of Sincultural and Entomological Science
-
Asano Naruyoshi
Department Of Engineering Mathematics Utsunomiya University
-
Asano Naruyoshi
Laboratory Of Applied Mathematics And Mathematical Physics Department Of Information Science Faculty
-
Asano Naruyoshi
Laboratory Of Applied Mathematics And Mathematical Physics Department Of Information Science Faculty
-
Kato Yusuke
Department Of Engineering Mathematics Utsunomiya University
-
Kato Yusuke
Laboratory Of Applied Mathematics And Mathematical Physics Department Of Information Science Faculty
-
ASANO Naruyoshi
Laboratory of Applied Mathematics and Mathematical Physics Department of Information Science, Faculty of Engineering University of Utsunomiya
-
ASANO Naruyoshi
Department of Information Science, Faculty of Engineering Utsunomiya University
-
KATO Yusuke
Department of Engineering Mathematics Faculty of Engineering, Utsunomiya University
関連論文
- Signal Transudation for Cecropin B Gene Expression in Adherent Hemocytes of the Silkworm, Bombyx mori (Lepidoptera: Bombycidae)
- Fredholm Determinant and the Solution of the Korteweg-de Vries Equation : General and Mathematical Physics
- Determination of the Invariant Vector Field in Non-Linear Field : General and Mathematical Physics
- Spectrum Method for a General Evolution Equation
- Recursion Operators for N×N Matrix Nonlinear Evolution Equations : Condensed Matter and Statistical Physics
- Fredholm Determinant Solution for the Inverse Scattering Transform of the N×N Zakharov-Shabat Equation : Genaral and Mathematical Physics
- B Wave Propagations in Non-Uniform Media(Part II. Further Developments of the Reductive Perturbation Method)
- The Marchenko Equation of the Hilbert-Schmidt Type for the N×N Zakharov-Shabat Operator : General and Mathematical Physics
- Bound States and Asymptotic Fields
- Spectral Problem of N×N Matrix Differential Operators on the Line
- Fredholm Determinants and the Cauchy Problem of a Class of Nonlinear Evolution Equations
- Inverse Scattering Method for the Initial Value Problem of the Nonlinear Equation of Evolution (Part V. Initial Value Problems)