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

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

1998-11-21

arxiv.org/abs/solv-int/9811015v2

J. Phys. A: Math. and Gen. 32 (1999) 977-988

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1088/0305-4470/32/6/010

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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