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Paper detail

Derivation of Nonlinear Schrödinger Equation

We propose some nonlinear Schrödinger equations by adding some higher order terms to the Lagrangian density of Schrödinger field, and obtain the Gross-Pitaevskii (GP) equation and the logarithmic form equation naturally. In addition, we prove the coefficient of nonlinear term is very small, i.e., the nonlinearity of Schrödinger equation is weak.

preprint2011arXivOpen access
Xiang-Yao WuBai-Jun ZhangXiao-Jing LiuLi-XiaoYi-Heng WuYan-WangQing-Cai WangShuang Cheng
math-phmath.MPquant-ph
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Xiang-Yao WuBai-Jun ZhangXiao-Jing LiuLi-XiaoYi-Heng WuYan-WangQing-Cai WangShuang Cheng

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