The area of telecommunications has experienced a considerable growth in the last few decades due to remarkable development in the field of optical fibers. Optical solitons form the basic fabric in the area of telecommunication industry. The captivating technology of sub-pico second pulses that propagate through optical fibers is modeled with Kaup-Newell’s (KN) equation. In this paper, we introduce the KN equation without four-wave mixing (FWM) terms in birefringent fibers, we study this equation, and we obtain different types of solutions. Beside bright, dark and singular solitons, other types of solutions are obtained. Moreover, for the physical illustration of the obtained solutions, the graphs are presented.

中文翻译：

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扩展最简单方程法的Kaup-Newell方程在双折射光纤中的孤子

由于光纤领域的显着发展，过去几十年来电信领域经历了可观的增长。光孤子构成了电信行业领域的基本结构。利用Kaup-Newell（KN）方程对通过光纤传播的亚皮秒级脉冲的引人入胜的技术进行建模。在本文中，我们介绍了在双折射光纤中不包含四波混频（FWM）项的KN方程，我们对该方程进行了研究，并获得了不同类型的解。除了亮，暗和奇异的孤子，还可以得到其他类型的解。此外，为了对所获得的解决方案进行物理说明，还提供了图表。