Physical exact nonlinear new solutions for the (n+1)-dimensional Schrödinger have been obtained using RB sub-ODE and He’s semi-inverse techniques. New structures as trigonometric, rational and exponential hyperbolic solitary forms confirmed many physical phenomena’s. We deduce several types of solutions that include bright optical and dark solitons, which are very important from a physical point of view in optical fibers and plasma physics. The proposed two techniques can be also utilized to other models arising in new physics and applied science.

中文翻译：

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物理非线性（n + 1）维薛定ding方程的应用

使用RB次ODE和He's半逆技术获得了（n + 1）维Schrödinger的物理精确非线性新解。三角，有理和指数双曲线孤立形式的新结构证实了许多物理现象。我们推断出几种解决方案，其中包括明亮的光学孤子和黑暗的孤子，从光纤和等离子体物理的物理角度来看，这是非常重要的。所提出的两种技术也可以用于新物理学和应用科学中出现的其他模型。