On Integrability of Nonautonomous Nonlinear Schroedinger Equations
Mathematical Physics
2011-04-19 v3 math.MP
Abstract
We show, in general, how to transform the nonautonomous nonlinear Schroedinger equation with quadratic Hamiltonians into the standard autonomous form that is completely integrable by the familiar inverse scattering method in nonlinear science. Derivation of the corresponding equivalent nonisospectral Lax pair is outlined. A few simple integrable systems are discussed.
Cite
@article{arxiv.1012.3661,
title = {On Integrability of Nonautonomous Nonlinear Schroedinger Equations},
author = {Sergei K. Suslov},
journal= {arXiv preprint arXiv:1012.3661},
year = {2011}
}
Comments
15 pages, no figures