In this paper, we will use various ansatz transformations to obtain different kinds of optical solitons solutions for couple of nonlinear Schrödinger equations (NLSEs). We get bright, dark, bright in the dark (dipole), combined dark–bright (combo) and some other solitary wave solutions for quadratic-cubic quintic system in optical meta-materials (CQS-OM) having quadratic cubic nonlinearity along with NLSE with anti-cubic nonlinearity (AC) in an optical fiber. We also show our results graphically in various dimensions under different constraint conditions.

中文翻译：

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非线性薛定谔动力学方程偶的局域波研究

在本文中，我们将使用各种模拟变换来获得一对非线性薛定谔方程 (NLSE) 的不同类型的光孤子解。我们在具有二次三次非线性和 NLSE 的光学超材料 (CQS-OM) 中得到明亮、黑暗、黑暗中明亮（偶极子）、暗-亮组合（组合）和一些其他孤立波解的二次三次五次系统具有光纤中的反三次非线性 (AC)。我们还在不同的约束条件下以各种维度以图形方式显示我们的结果。