Toward a unification of the various techniques used to integrate nonlinear partial differential equations: Bäcklund and Darboux transformations vs. dressing method

DOI10.1016/0034-4877(86)90066-2zbMath0621.35095OpenAlexW2011927994MaRDI QIDQ1089840

Decio Levi

Publication date: 1986

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(86)90066-2

zbMATH Keywords

surveyexact solutionsdressing methodDarboux transformationBäcklund transformationintegrable nonlinear partial differential equations

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

Related Items

Generalized Darboux maps and massless spin-s fields, New hierarchies of integrable lattice equations and associated properties: Darboux transformation, conservation laws and integrable coupling, A Bäcklund transformation for the Burgers hierarchy, Algorithmic method for deriving Lax pairs from the invariant Painlevé analysis of nonlinear partial differential equations

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