In this paper, several types of solitons such as dark soliton, bright soliton, periodic soliton, kink soliton and solitary waves in three-dimensional and two-dimensional contour plot have been derived for the generalized third-order nonlinear Schrödinger dynamical equations (NLSEs). The generalized third-order NLSE is a significant model ultra-short pulses in optical fibers. The computational work and outcomes achieved show the influence and efficiency of current method. Furthermore, we can solve many other higher-order NLSEs with the help of simple and effective technique.

中文翻译：

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基于广义三阶非线性薛定谔动力学方程的复杂模型光纤中的超短脉冲

本文针对广义三阶非线性薛定谔动力学方程（NLSEs）推导了三维和二维等值线图中暗孤子、亮孤子、周期孤子、扭结孤子和孤波等几种类型的孤子。 . 广义三阶 NLSE 是光纤中超短脉冲的重要模型。计算工作和取得的成果表明了当前方法的影响力和效率。此外，我们可以借助简单有效的技术解决许多其他高阶 NLSE。