The study focuses on the use of a direct algebraic approach to the analysis of the Triki–Biswas (TB) model. This model addresses the distribution of ultrashort pulses in optical fiber in the presence of non-Kerr dispersion concept and group velocity dispersion. However, using the new extended direct algebraic method, we have obtained various optical soliton solutions for the TB model. The optical soliton solutions are new and reliable compared to the existing methods.

中文翻译：

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Triki-Biswas 模型的新光学孤子解决方案通过新的扩展直接代数方法

该研究的重点是使用直接代数方法来分析 Triki-Biswas (TB) 模型。该模型解决了在存在非克尔色散概念和群速度色散的情况下光纤中超短脉冲的分布。然而，使用新的扩展直接代数方法，我们得到了 TB 模型的各种光孤子解。与现有方法相比，光孤子解决方案是新的和可靠的。