In this work, the dynamics of wave phenomena modeled by (2[Formula: see text]+[Formula: see text]1)-dimensional coupled nonlinear Schrodinger’s equations with fractional temporal evolution is studied. The solutions of the equations are two monochromatic waves with nonlinear modulations that have almost identical group velocities. The unified approach along with the properties of the local M-derivative are used to obtain dark and rational soliton solutions. The restrictions on parameters ensure that these soliton solutions are persevering. Lastly, the influence of the fractional parameter upon the obtained results are evaluated and depicted through graphs.

中文翻译：

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浅水波中产生的耦合非线性薛定谔方程的丰富分数孤子

在这项工作中，研究了由（2[公式：见正文]+[公式：见正文]1）维耦合非线性薛定谔方程与分数时间演化的波现象动力学。方程的解是两个具有几乎相同群速度的非线性调制的单色波。统一方法与局部 M 导数的性质一起用于获得暗和有理孤子解。对参数的限制确保这些孤子解决方案是持久的。最后，通过图表评估和描述了分数参数对所得结果的影响。