In this article, new exact solutions of the dual-core optical fibers model are determined by using the Riccati–Bernoulli sub-ODE method. As a result, rational, trigonometric, hyperbolic and exponential functions and a variety of special solutions like kink-shaped, bell-type soliton solutions are established. We also consider the linear stability analysis for the dual-core optical fibers model. We also plot the 3D graphs for some selected solutions with the aid of the MATLAB software. We finally compare our results with the other methods and show that the Riccati–Bernoulli sub-ODE method is superior to other methods.

中文翻译：

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新的双芯光纤精确解决方案

在本文中，通过使用Riccati–Bernoulli子ODE方法确定了双芯光纤模型的新精确解。结果，建立了有理，三角，双曲和指数函数以及各种特殊解，例如扭结形，钟形孤子解。我们还考虑了双芯光纤模型的线性稳定性分析。我们还借助MATLAB软件绘制了一些选定解决方案的3D图形。最后，我们将结果与其他方法进行了比较，结果表明Riccati–Bernoulli次ODE方法优于其他方法。