The (2 + 1)-dimensional Schrodinger complex equations are essential physical models that describe the short-range pulse spread in nonlinear media fiber optics. We construct novel complex solutions to Schrodinger's complex hyperbolic model by using two different techniques. One method is characterized by the efficient algebraic equations that eventually form. Meanwhile, it uses the dependency variable expressions and its derivatives in the differential equation of the polynomial of a solitary wave. New acquired solutions are rational and exponential solutions expressed by periodic solutions. The solutions are illustrated through 3D- and 2D- plots to clarify the physical features for this model.

中文翻译：

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关于非线性光纤中由 (2 + 1) 维薛定谔双曲方程描述的短程脉冲传播

(2 + 1) 维薛定谔复方程是描述非线性介质光纤中短程脉冲扩展的基本物理模型。我们通过使用两种不同的技术为薛定谔的复双曲模型构建了新的复解。一种方法的特点是最终形成的有效代数方程。同时，它在孤立波多项式的微分方程中使用了依赖变量表达式及其导数。新获得的解是由周期解表示的有理和指数解。解决方案通过 3D 和 2D 绘图来说明，以阐明该模型的物理特征。