On generalized Loewner systems: Novel integrable equations in 2+1 dimensions

DOI10.1063/1.530377zbMath0767.35087OpenAlexW2039757417MaRDI QIDQ4697288

B. G. Konopelchenko, Colin Rogers

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1063/1.530377

zbMATH Keywords

sine-Gordon equationToda lattice system\(\overline {\partial}\)-dressing method

Mathematics Subject Classification ID

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Cites Work

• Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations
• Representation theory and integration of nonlinear spherically symmetric equations to gauge theories
• A higher dimension generalization of the Sine-Gordon equation and its soliton theory
• Integrable nonlinear Klein-Gordon equations and Toda lattices
• Bäcklund's theorem for \(n\)-dimensional submanifolds of \(R^{2n-1}\)
• Generation of solutions of systems of partial differential equations by composition of infinitesimal Bäcklund transformations
• Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
• Nonlinear-Evolution Equations of Physical Significance
• Integrable two-dimensional generalisation of the sine- and sinh-Gordon equations
• The non-local delta problem and (2+1)-dimensional soliton equations
• On the Moutard transformation for integrable partial differential equations
• Linear spectral problems, non-linear equations and the δ-method

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