Some real, periodic stationary solutions of the one-dimensional nonlinear Schr?dinger equation for constant potentials

8th International Congress of Engineering Physics

物理学;工业技术

Torres-Vega, G.^1

Physics Department, Cinvestav, Apdo. postal 14-740, Mexico city

07000, Mexico^1

关键词: Constant Potential;    Dinger equation;    Jacobian elliptic function;    Linear superpositions;    Non linear;    Nonsymmetric;    Periodic stationary solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/792/1/012054/pdf
DOI  :  10.1088/1742-6596/792/1/012054

学科分类：工业工程学

来源: IOP

【 摘 要 】

We introduce a nonsymmetric version of Jacobian elliptic functions. With these functions, we are able to obtain linear superposition solutions of the non-linear Schrödinger equation for a free condensate. These functions are more general than that of Jacobi and contain them as a special case. The eigenfunctions for a condensate in a box are considered.