Riemann-Hilbert Problem and Inverse Scattering Method for the 3×3-Spectral Problem

スポンサーリンク

概要

• 論文の詳細を見る

• U'nder the assumption of the potential on a compact support, we show thatspectral solutions of a standard N x .V-problem can be continued analytically andresult in triangular states at ,v= fco. By virture of the triangular factorizationprocedure, we reasonably define a "principal" type of R-H problems (for 7V=3)which generally solves the inverse problem. For 7V= 3 the R-H problem is writtendown explicitly and we consider how to derive the Gel'fand-Levitan type ofintegral equations.

• 社団法人日本物理学会の論文
• 1985-03-15

著者

• Kawata Tsutomu

  Faculty Of Engineering Toyama University

関連論文

• Simulation on Collision between a Magnetic Flux Tube and Shock Waves in Solar Plasmas
• Triangular Factorizations and Riemann-Hilbert Problem of the AKNS Equation
• Riemann-Hilbert Problem and Inverse Scattering Method for the 3×3-Spectral Problem
• Multi-Dimensional Inverse Scattering Transform 1-Time and 2-Space Problem
• Inverse Method for the Mixed Nonlinear Schrodinger Equation and Soliton Solutions
• On a Derivation of Gel'fand-Levitan Equation by Means of Riemann-Hilbert Problem
• Inverse Scattering Transform of the Higher-Order Eigenvalue Problem
• Derivation of Backlund Transformation for the AKNS-Integrable System by Means of the Riemann-Hilbert Problem
• Linear Problems Associated with the Derivative Nonlinear Schrodinger Equation
• Integration of Linear-Partial-Differential Equations Arising from a N × N-Matrix Spectral Problem

スポンサーリンク