Inverse scattering connections

DOI10.1063/1.525015zbMath0475.35079OpenAlexW2080313417MaRDI QIDQ3931797

J. Leon

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.525015

zbMATH Keywords

transformationDiracSchrödingerKlein-Gordoninverse spectral transforms

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Two connected inverse spectral transforms
• The Dirac inverse spectral transform: Kinks and boomerons
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Lectures on the Inverse Scattering Transform
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
• Existence and Uniqueness of Crossing Symmetric N/D-Type Equations Corresponding to the Klein-Gordon Equation

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