2015/12/07 by Giorgio Gubbiotti, Gubbiotti, Giorgio, D. Levi +4
Computer Science · Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations #Polynomial and algebraic computation #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.48550/arxiv.1512.01967
arxiv created 2015/12/07 · openalex publication_date 2015/12/07 · arxiv updated 2015/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we present some ideas on when Lie symmetries, both point and generalized, can depend on arbitrary functions. We show on a few examples, both in partial differential and partial difference equations when this happens. Moreover we show that the infinitesimal generators of generalized symmetries depending on arbitrary functions, both for continuous and discrete equations, effectively play the role of master symmetries.