New and novel solitons and other solutions to the cubic–quartic nonlinear Schrödinger's equation in a non-Kerr law media with four laws of non-linearity namely, parabolic law, quadratic–cubic law, the non-local law and weak non-local law have been found in this article. The unified Riccati equation expansion method is applied in this paper. This equation governs the propagation of solitons through nonlinear optical fibers. This yields bright, dark, singular optical solitons and other solutions that are all presented along with their respective parameter restrictions.

中文翻译：

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具有多线性积分法则的具有四个非线性非线性定律的三次四次光学孤子摄动

具有四个非线性定律的抛物线定律，二次立方定律，非局部定律和弱非局部定律的非克尔定律介质中三次-非线性非线性薛定ding方程的新奇特孤子和其他解在本文中已找到。本文采用统一的Riccati方程展开方法。该方程控制孤子通过非线性光纤的传播。这样就产生了亮，暗，奇异的光学孤子以及其他解决方案，以及它们各自的参数限制。