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New symbolic tools for differential geometry, gravitation, and field theory
Journal of Mathematical Physics (2012)
DifferentialGeometry is a Maple software package which symbolically performs fun- damental operations of calculus on manifolds, differential geometry, tensor calculus, ...
B ̈acklund Transformations for Darboux Integrable Equations
Differential Geometry and Tanaka Theory, Research Institute for Mathematical Sciences, Kyoto University, January 24--28 (2011)
Lie symmetry reduction is typically viewed as an integration method for differential systems of finite type, that is, systems of ...
Transformations of Darboux Integrable Systems
Differential equations : geometry, symmetries and integrability : the Abel Symposium 2008, proceedings of the Fifth Abel Symposium, Tromsø, Norway, June 17-22, 2008 Abel Symposia, 2009 (2009)
This article reviews some recent theoretical results about the structure of Darboux integrable differential systems and their relationship with symmetry ...