Sequences of related linear PDEs

DOI10.1016/0022-247X(89)90352-1zbMath0694.35029OpenAlexW2134187541MaRDI QIDQ909098

Gregory J. Reid, George W. Bluman

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90352-1

zbMATH Keywords

Fokker-Planck equationsBäcklund transformationchains of linear PDEs

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05) Linear higher-order PDEs (35G05) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (3)

Complete Invariant Characterization of Scalar Linear (1+1) Parabolic Equations ⋮ Nonlocal transformations of Kolmogorov equations into the backward heat equation ⋮ Use of group analysis in solving overdetermined systems of ordinary differential equations

Cites Work

• Bäcklund transformations and their applications
• Applications of a commutation formula
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Factorization method and new potentials with the oscillator spectrum
• On Mapping Linear Partial Differential Equations to Constant Coefficient Equations
• Exact Representations for Acoustical Waves When the Sound Speed Varies in Space and Time
• On the vibrations of a heterogeneous string
• The Korteweg–deVries Equation: A Survey of Results
• The Factorization Method
• ASSOCIATED STURM-LIOUVILLE SYSTEMS

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