Nonlinear Evolution Equations Invariant Under Schrödinger Group in three-dimensional Space-time

Abstract

A classification of all possible realizations of the Galilei, Galilei-similitude and Schrödinger Lie algebras in three dimensional space-time in terms of vector fields under the action of the group of local diffeomorphisms of the space R3 × C is presented. Using this result a variety of general second order evolution equations invariant under the… (More)

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