Exact solutions of the nonlinear Schrödinger equation by the first integral method

Exact solutions of the nonlinear Schrödinger equation by the first integral method
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DOI:
10.1016/j.jmaa.2010.08.050
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发表时间:
2011-02
影响因子:
1.3
通讯作者:
N. Taghizadeh;M. Mirzazadeh;F. Farahrooz
N. Taghizadeh;M. Mirzazadeh;F. Farahrooz
中科院分区:
数学3区
文献类型:
--
作者:
N. Taghizadeh;M. Mirzazadeh;F. Farahrooz

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首次积分法是求某些非线性偏微分方程精确解的有效方法。这种方法既适用于不可积方程,也适用于可积方程。本文利用首次积分方法构造了非线性薛定谔方程的精确解。
The first integral method is an efficient method for obtaining exact solutions of some nonlinear partial differential equations. This method can be applied to nonintegrable equations as well as to integrable ones. In this paper, the first integral method is used to construct exact solutions of the nonlinear Schrödinger equation.