利用齐次平衡法求GP方程的Jacobi椭圆函数解

Solve the GP Equation by the Homogeneous Balance Method

描述玻色-爱因斯坦凝聚(BEC)的有效而方便的方程是著名的Gross-Pitaevskii(GP)方程。本文在将GP方程变换为非线性薛定谔方程(NLS)的基础上,利用齐次平衡法求出了Gross-Pitaevskii(GP)方程的一系列Jacobi椭圆函数解。

Gross-Pitaevskii（GP） is a useful equation to dipict the physical properties of Bose-Einstein condensate （BEC）. Under the basis of transforming the GP equation into a NLS, a series of Jacobi elliptic function solution of Gross-Pitaevskii（GP） equation are obtained by the homogeneous balance method.