The generalized projective Riccati equations method for solving quadratic-cubic conformable time-fractional Klien-Fock-Gordon equation

被引：14
|
作者：
Akram G. [1 ]
Arshed S. [1 ]
Sadaf M. [1 ]
Sameen F. [1 ]
机构：
[1] Department of Mathematics, University of the Punjab, Lahore
来源：
Ain Shams Engineering Journal | 2022年 / 13卷 / 04期
关键词：
Conformal derivative; Nonlinearity; Solitons; The generalized projective Riccati equations method; Time-fractional Klien-Fock-Gordon equation;
D O I：
10.1016/j.asej.2021.101658
中图分类号：
学科分类号：
摘要：
In this article, the generalized projective Riccati equations method is proposed for solving time-fractional Klien-Fock-Gordon (KFG) equation. The proposed model is explored for quadratic and cubic nonlinearities. The conformal derivative is used for time-fractional derivative in KFG equation. The soliton solutions are constructed and illustrated graphically for some particular values of fractional order α,0<α<1. The graphical illustration includes 3D plots and contour plots for obtained solutions. It has been observed that the mutation from quadratic-state to cubic-state causes change in the physical interpretation of obtained solutions. © 2021 THE AUTHORS
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