A Self-Dual Bogomol'nyi Formulation of the Nonlinear Schrödinger Equation

Details A Self-Dual Bogomol'nyi Formulation of the Nonlinear Schrödinger Equation A Self-Dual Bogomol'nyi Formulation of the Nonlinear Schrödinger Equation

1996-12-03

arxiv.org/abs/hep-th/9612028v3

Phys.Lett. B404 (1997) 89-93

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex, A revised version with title change

Scientific paper

10.1016/S0370-2693(97)00519-4

We obtain a self-dual formulation of the conventional nonlinear Schr\"odinger equation (NLSE) in the 1+1 dimension by studying the dimensional reduction of the self-dual Chern-Simons nonlinear Schr\"odinger model (NLSM) in the 2+1 dimension. It is found that this self-dual formulation allows us to find not only the well-known soliton solutions from the Bogomol'nyi bound and the Galilean boost, but also other soliton solutions in the presence of the background sources.

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