Application of linked Bäcklund transformations to nonlinear boundary value problems

DOI10.1063/1.526620zbMath0563.35072OpenAlexW2018319912MaRDI QIDQ3676565

Colin Rogers

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526620

zbMATH Keywords

inverse scattering transformCole-Hopf transformationnonlinear boundary value problemsBäcklund transformationsBurgers' hierarchyreciprocal Bäcklund transformation

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (2)

Soliton structure versus singularity analysis: Third-order completely integrable nonlinear differential equations in \(1+1\)-dimensions ⋮ Two-phase Stefan problem with nonlinear thermal coefficients and a convective boundary condition

Cites Work

• Application of reciprocal Backlund transformations to a class of nonlinear boundary value problems
• Application of a Bäcklund transformation in gravity driven two phase filtration
• On two phase filtration under gravity and with boundary infiltration: application of a bäcklund transformation
• On the exactly solvable equation$S_t = [ ( \beta S + \gamma )^{ - 2} S_x _x + \alpha ( \beta S + \gamma )^{ - 2} S_x $ Occurring in Two-Phase Flow in Porous Media]
• On Reciprocal Bäcklund Transformations of Inverse Scattering Schemes

This page was built for publication: Application of linked Bäcklund transformations to nonlinear boundary value problems