A time-fractional higher-order nonlinear Schrödinger equation with Kerr law, power law and log law of nonlinearity is studied, and bright, dark soliton, Jacobian elliptic function solutions and combined solutions are found by applying the Riccati equation approach, Jacobian elliptic function approach and double function approach. Dynamical evolution of these fractional solitons is discussed, and two kinds of dark solitons and two kinds of bright solitons are found.

中文翻译：

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时间分数阶高阶非线性Schrödinger方程的光学孤子

研究具有Kerr定律，幂定律和对数非线性的时间分数阶高阶非线性Schrödinger方程，并通过应用Riccati方程法，Jacobian椭圆函数法找到明，暗孤子，雅可比椭圆函数解和组合解和双重功能的方法。讨论了这些分数孤子的动力学演化，发现了两种暗孤子和两种亮孤子。