This paper presents the modulation instability (MI) analysis and the different types of optical soliton solutions of the Triki–Biswas model equation. The aforesaid model equation is the generalization of the derivative nonlinear Schrödinger equation which describes the ultrashort pulse propagation with non-Kerr dispersion. The study is carried out by means of a novel efficient integration scheme. During this work, a sequence of optical solitons is produced that may have an important in optical fiber systems. The results show that the studied model hypothetically has incredibly rich optical soliton solutions. The constraint conditions for valid soliton solutions are also reported. The gained results show that the applied method is efficient, powerful and can be applied to various complex models with the help of representative calculations.

中文翻译：

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光纤中多种超短脉冲向 Triki-Biswas 方程的传播及其调制不稳定性分析

本文介绍了 Triki-Biswas 模型方程的调制不稳定性 (MI) 分析和不同类型的光孤子解。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高效集成方案进行的。在这项工作中，产生了一系列可能在光纤系统中具有重要意义的光孤子。结果表明，所研究的模型假设具有非常丰富的光孤子解。还报告了有效孤子解的约束条件。所得结果表明，所应用的方法高效、强大，可借助代表性计算应用于各种复杂模型。