Laplace transformations as the only degenerate Darboux transformations of first order

DOI10.1134/S0361768812020053zbMath1255.35015OpenAlexW2050098693MaRDI QIDQ1758703

Ekaterina Shemyakova

Publication date: 16 November 2012

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768812020053

zbMATH Keywords

analytical solutions of partial differential equationsWronskian-like formulas

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (4)

Twisted Laplace maps ⋮ Intertwining Laplace Transformations of Linear Partial Differential Equations ⋮ Darboux transformations for factorable Laplace operators ⋮ Factorization of Darboux-Laplace transformations for discrete hyperbolic operators

Cites Work

• \(X\)- and \(Y\)-invariants of partial differential operators in the plane
• Integrals, solutions, and existence problems for Laplace transformations of linear hyperbolic systems
• Differential transformations of parabolic second-order operators in the plane
• On Laplace and Dini transformations for multidimensional equations with a decomposable principal symbol
• Unnamed Item
• Unnamed Item

This page was built for publication: Laplace transformations as the only degenerate Darboux transformations of first order