Generalized symmetries of nonlinear partial differential equations
Copyright policy )Generalized symmetries of nonlinear partial differential equations
We propose a rigorous definition of the generalized infinitesimal symmetries using the notion of k-vector fields, and we derive an algorithm for their determination. We show that Backlund transformations between evolution equations are differential operators having prescribed symmetries.
- City University of New York United States
- Brooklyn College United States
- King’s University United States
sine-Gordon equation, Invariance and symmetry properties for PDEs on manifolds, evolution equations, Partial differential equations of mathematical physics and other areas of application, Korteweg-de Vries equation, generalized infinitesimal symmetries, Other special methods applied to PDEs, Bäcklund transformations, K-vector fields
sine-Gordon equation, Invariance and symmetry properties for PDEs on manifolds, evolution equations, Partial differential equations of mathematical physics and other areas of application, Korteweg-de Vries equation, generalized infinitesimal symmetries, Other special methods applied to PDEs, Bäcklund transformations, K-vector fields
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