An Application of Prolongation Algebras to Determine Bäcklund Transformations for Nonlinear Equations

DOI10.7546/GIQ-16-2015-167-177zbMath1349.35329OpenAlexW2597376054MaRDI QIDQ2825596

Paul Bracken

Publication date: 13 October 2016

Full work available at URL: https://doi.org/10.7546/giq-16-2015-167-177

zbMATH Keywords

nonlinear equationBäcklund transformationprolongationalgebradifferential form

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear higher-order PDEs (35G20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25)

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