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arXiv · solv-int/9811015

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

Faruk Gungor
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Abstract

A classification of all possible realizations of the Galilei, Galilei-similitude and Schroedinger Lie algebras in three-dimensional space-time in terms of vector fields under the action of the group of local diffeomorphisms of the space $\R^3\times\C$ is presented. Using this result a variety of general second order evolution equations invariant under the corresponding groups are constructed and their physical significance are discussed.

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Faruk Gungor. 1999-03-18. Nonlinear Evolution Equations Invariant Under Schroedinger Group in three-dimensional Space-time. https://doi.org/10.1088/0305-4470%2F32%2F6%2F010

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