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

引用

共 29 条

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[29] The ϕ6\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi ^{6}$$\end{document}-model expansion method for solving the nonlinear conformable time-fractional Schrödinger equation with fourth-order dispersion and parabolic law nonlinearity
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