New soliton solutions to the nonlinear complex fractional Schrodinger equation and the conformable time-fractional Klein-Gordon equation with quadratic and cubic nonlinearity

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New soliton solutions to the nonlinear complex fractional Schrodinger equation and the conformable time-fractional Klein-Gordon equation with quadratic and cubic nonlinearity

机译：非线性复杂分数施罗德格方程的新孤子解决方案及具有二次和立方非线性的适形时间分数Klein-Gordon方程

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This paper applies the modified (G'/G)-expansion method on several nonlinear fractional equations, the nonlinear complex fractional Schrodinger equation and the conformable time-fractional Klein-Gordon equation with quadratic and cubic nonlinearity, and obtains some new soliton solutions. The solutions confirms that this approach gives us a robust mathematical device for determining nonlinear conformable fractional evolution equations in various disciplines of applied nonlinear sciences.

机译：本文应用于几种非线性分数方程，非线性复合分数施罗德格方程和具有二次和立方非线性的非线性复合分数Schrodinger方程的改进的（G'/ G） - 扩张方法，并获得了一些新的孤子解决方案。该解决方案确认该方法为我们提供了一种稳健的数学装置，用于在应用非线性科学的各个学科中确定非线性适形分数展开方程。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2020年第4期|共14页
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正文语种 eng
中图分类物理学;
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modified (G'/G)-expansion method; the nonlinear complex fractional Schrodinger equation; the conformable time-fractional Klein-Gordon equation with quadratic and cubic nonlinearity; conformable fractional derivative; soliton solutions;

机译：改进的（G'/ g）-expansion方法;非线性复合分数施罗登方程式;具有二次和立方非线性的适形时间分数克莱因 - 戈登方程;适形分数衍生物;孤子解决方案;

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1. New soliton solutions to the nonlinear complex fractional Schrodinger equation and the conformable time-fractional Klein-Gordon equation with quadratic and cubic nonlinearity [J] . Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2020,第4期

机译：非线性复杂分数施罗德格方程的新孤子解决方案及具有二次和立方非线性的适形时间分数Klein-Gordon方程
2. Combined soliton solutions of a (1+1)-dimensional weakly nonlocal conformable fractional nonlinear Schrodinger equation in the cubic-quintic nonlinear material [J] . Yi-Xiang Chen, Xiao Xiao Optical and quantum electronics . 2021,第1期

机译：三维二通非线性材料中A（1 + 1）的孤子溶液 - （1 + 1） - 二维弱非局部适形的分数非线性薛定峰方程
3. Fractional optical solitons for the conformable space-time nonlinear Schrodinger equation with Kerr law nonlinearity [J] . Inc Mustafa, Yusuf Abdullahi, Aliyu Aliyu Isa, Optical and quantum electronics . 2018,第3期

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4. The Investigation of Exact Solutions of Nonlinear Time-Fractional Klein-Gordon Equation by Using Generalized Kudryashov Method [C] . Seyma Tuluce Demiray, Yusuf Pandir, Hasan Bulut International Conference on Mathematical Problems in Engineering and Aerospace Sciences . 2014

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5. Effects of randomness, dissipation and interaction on solitons of the cubic nonlinear Schrodinger equation and related nonlinear wave models. [D] . Nguyen, Quan Minh. 2011

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6. Higher Dimensional Gaussian-Type Solitons of Nonlinear Schrödinger Equation with Cubic and Power-Law Nonlinearities in PT-Symmetric Potentials [O] . Yi-Xiang Chen, Fang-Qian Xu -1

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7. On Solitons of Standing Wave Solutions for the Cubic-Quartic Nonlinear Schrodinger equation (Dynamics of Functional Equations and Mathematical Models) [O] . Inui Katsuya, Nohara Ben T., Yamano Takuya, 2009

机译：三次三次非线性Schrodinger方程的驻波解的孤子（功能方程和数学模型的动力学）

New soliton solutions to the nonlinear complex fractional Schrodinger equation and the conformable time-fractional Klein-Gordon equation with quadratic and cubic nonlinearity

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