This paper comprises the different types of optical soliton solutions of an important Triki–Biswas model equation with beta-time derivative. The beta derivative is considered as a generalized version of the classical derivative. The aforesaid model equation is the generalization of the derivative nonlinear Schrödinger equation that describes the ultrashort pulse propagation with non-Kerr dispersion. The study is carried out by means of a novel beta derivative operator and three efficient integration schemes. During this work, a sequence of new optical solitons is produced that may have an importance in optical fiber systems. These solutions are verified and numerically simulated through soft computation.

中文翻译：

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使用 beta 时间导数的 Triki-Biswas 模型的新光学孤子动力学

本文包含一个重要的 Triki-Biswas 模型方程的不同类型的光学孤子解，该方程具有 beta 时间导数。贝塔导数被认为是经典导数的广义版本。上述模型方程是描述具有非克尔色散的超短脉冲传播的导数非线性薛定谔方程的推广。该研究是通过一种新颖的β导数算子和三种有效的积分方案进行的。在这项工作中，产生了一系列新的光孤子，这可能在光纤系统中具有重要意义。这些解决方案通过软计算得到验证和数值模拟。