Symmetries and Recursion Operators for Classical and Supersymmetric Differential Equations pp 1-55 | Cite as
Classical symmetries
Chapter
Abstract
This chapter is concerned with the basic notions needed for our exposition — those of jet spaces and of nonlinear differential equations. Our main purpose is to put the concept of a nonlinear partial differential equation (PDE) into the framework of smooth manifolds and then to apply powerful techniques of differential geometry and commutative algebra. We completely abandon analytical language, maybe good enough for theorems of existence, but not too useful in search for main underlying structures.
Keywords
Vector Bundle Smooth Manifold Burger Equation Classical Symmetry Integral Manifold
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Copyright information
© Springer Science+Business Media Dordrecht 2000