In this paper, according to the complete discriminant system for polynomial method, a series of analytical solutions of the perturbed nonlinear Schrödinger equation with variable coefficient and Kerr law are obtained. These solutions show the abundant propagation patterns of optical waves with Kerr law.

中文翻译：

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变系数和克尔定律的扰动非线性薛定谔方程的精确解

本文根据多项式法的完备判别系统，得到了变系数和克尔定律的扰动非线性薛定谔方程的一系列解析解。这些解决方案显示了具有克尔定律的光波的丰富传播模式。