Under the current study is the Fokas system that is used to model the nonlinear pulse propagation in monomode optical fibers. By using the extended rational sine-cosine and sinh-cosh methods, eight families of the soliton solutions like trigonometric soliton, singular soliton, bright soliton and dark soliton are constructed. The performances of the solutions are described through the 3-D contours. The results reveal that the proposed methods are effective to construct abundant soliton solutions for the partial differential equations arising in optics.

中文翻译：

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单模光纤中出现的 Fokas 系统的孤子解决方案

当前研究的是用于模拟单模光纤中非线性脉冲传播的 Fokas 系统。利用扩展的有理正弦-余弦和sinh-cosh方法，构造了三角孤子、奇异孤子、亮孤子和暗孤子等八族孤子解。解决方案的性能通过 3-D 轮廓描述。结果表明，所提出的方法可以有效地为光学中出现的偏微分方程构造丰富的孤子解。