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arXiv · hep-th/9612028

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

Phillial Oh·Chaiho Rim
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Abstract

We obtain a self-dual formulation of the conventional nonlinear Schrödinger equation (NLSE) in the 1+1 dimension by studying the dimensional reduction of the self-dual Chern-Simons nonlinear Schrödinger 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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Phillial Oh, Chaiho Rim. 1997-03-17. A Self-Dual Bogomol'nyi Formulation of the Nonlinear Schrödinger Equation. https://doi.org/10.1016/s0370-2693(97)00519-4

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