Inverse scattering problems in higher dimensions: Yang–Mills fields and the supersymmetric sine-Gordon equation

DOI10.1063/1.524418zbMath0453.35074OpenAlexW2136728019MaRDI QIDQ3900424

Hedley C. Morris

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524418

zbMATH Keywords

Yang-Mills fieldsinverse scattering problemsLax representationssupersymmetric sine- Gordon equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Algebraic properties of the \(1+1\)-dimensional Heisenberg spin field model, Odd bases of Lie superalgebras and integrable equations, Prolongation structures of nonlinear equations and infinite-dimensional algebras, Soliton geometry and the vacuum gravitational field equations

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Prolongation structures of nonlinear evolution equations
• Prolongation structures of nonlinear evolution equations. II
• Prolongation structures and nonlinear evolution equations in two spatial dimensions. II. A generalized nonlinear Schrödinger equation
• A generalized prolongation structure and the Bäcklund transformation of the anticommuting massive Thirring model
• The prolongation structures of a class of nonlinear evolution equations