The nonlinear Schrödinger equation as a Galilean-invariant dynamical system
- 1 August 1982
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (8) , 1518-1523
- https://doi.org/10.1063/1.525525
Abstract
The invariance of the nonlinear Schrödinger equation under the Galilei group is analyzed from the point of view of the inverse scattering transform. It is shown that this group induces an infinite-dimensional nonlinear canonical realization which is locally equivalent to a direct product of the two well-known Galilean actions describing classical particles and the free Schrödinger equation.Keywords
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