We successfully apply extended rational sine-cosine/sinh-cosh and advance expansion function techniques in this paper. Various kinds of soliton solutions to the conformable time-fractional resonant nonlinear Schrödinger equation (RNLSE) in optical fiber are extracted. We discuss the system with the effects of coefficients like group velocity dispersion, non-Kerr nonlinearity, resonant nonlinearity, and construct optical soliton solution in terms of rational, trigonometric and hyperbolic function solutions with arbitrary parameters. The recovered solutions reveal that the applied approaches are straightforward and efficient to work out the excellent contribution for analyzing several classes of nonlinear partial differential equations (NLPDEs) in engineering and sciences. Moreover, 3D, 2D and contour graphs are sketched with suitable selection of the parameters under the criteria of constraints conditions.

中文翻译：

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具有一致时间分数非线性薛定谔方程的谐振光孤子

我们在本文中成功地应用了扩展有理正弦余弦/正弦余弦和高级扩展函数技术。提取了光纤中适形时间分数谐振非线性薛定谔方程(RNLSE)的各种孤子解。我们讨论了具有群速度色散、非克尔非线性、谐振非线性等系数影响的系统，并根据任意参数的有理函数、三角函数和双曲函数解来构造光孤子解。恢复的解决方案表明，所应用的方法直接有效地为分析工程和科学中的几类非线性偏微分方程 (NLPDE) 做出了出色的贡献。此外，3D、