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math.AP2014
Some remarks on contact manifolds, Monge-Ampere equations and solution singularities
Alexandre Vinogradov
We describe some natural relations connecting contact geometry, classical Monge-Ampere equations and theory of singularities of solutions to nonlinear PDEs. They reveal the hidden…
math.AP2013★ 2 cited
What are symmetries of nonlinear PDEs and what are they themselves?
Alexandre M. Vinogradov
The general theory of (nonlinear) partial differential equations originated by S. Lie had a significant development in the past 30-40 years. Now this theory has solid foundations,…