Solvable structures for evolution PDEs admitting differential constraints

2016/05/10 by Francesco C. De Vecchi, Paola Morando · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Algebra over a field #Applied mathematics #Differential (mechanical device) #Mathematics #Nonlinear Waves and Solitons #Numerical methods for differential equations #Order (exchange) #Physics #Pure mathematics #math-ph #math.AP #math.DG #math.MP #msc:35B06 #msc:58J70

paper · pdf · doi:10.1016/j.geomphys.2017.10.015

published in Journal of Geometry and Physics 124, 170-179 (Elsevier BV)

arxiv created 2016/05/10 · openalex publication_date 2017/11/06 · arxiv updated 2020/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Solvable structures are exploited in order to find families of explicit solutions to evolution PDEs admitting suitable differential constraints. The effectiveness of the method is verified on several explicit examples.

Citations

• Local and nonlocal solvable structures in the reduction of ODEs

Cited by

• The geometry of differential constraints for a class of evolution PDEs