Generalized Gel’fand–Levitan integral equation for two block Ablowitz–Kaup–Newell–Segur systems

DOI10.1063/1.532974zbMath0951.34059OpenAlexW2074083491MaRDI QIDQ4270431

Gulmaro Corona Corona

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532974

zbMATH Keywords

scattering matrixAblowitz-Kaup-Newell-Segur systemsgeneralized Gel'fand-Levitan integral equation

Mathematics Subject Classification ID

Inverse scattering problems in quantum theory (81U40) Soliton equations (35Q51) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

• The Estabrook-Wahlquist method with examples of application
• The D-bar approach to inverse scattering and nonlinear evolutions
• Hamiltonian structure for degenerate AKNS systems
• A Multidimensional Inverse-Scattering Method
• The construction of potentials from theS-matrix for systems of differential equations
• The $ \bar\partial$-equation in the multidimensional inverse scattering problem
• Inverse scattering. I. One dimension
• Prolongation structures of nonlinear evolution equations
• Solitons and simple pseudopotentials
• Prolongation structures of nonlinear evolution equations. II
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Couple coefficients for the two-block AKNS system
• On a generalized Hilbert problem

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