In the present paper, high-order nonlinear Schrödinger equations in non-Kerr law media with different laws of nonlinearities are studied. In this respect, after considering a complex envelope and distinguishing the real and imaginary portions of the models, describing the propagation of solitons through nonlinear optical fibers, their soliton solutions are obtained using the well-organized new Kudryashov method. It is believed that the new Kudryashov method provides an effective mathematical tool to look for soliton solutions of high-order nonlinear Schrödinger equations.

中文翻译：

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具有不同非线性定律的高阶非线性Schrödinger方程的孤子解

本文研究了具有不同非线性定律的非Ker法则介质中的高阶非线性Schrödinger方程。在这方面，在考虑了复杂的包络并区分了模型的实部和虚部之后，描述了孤子通过非线性光纤的传播，然后使用井井有条的新Kudryashov方法获得它们的孤子解。可以相信，新的Kudryashov方法为寻找高阶非线性Schrödinger方程的孤子解提供了有效的数学工具。