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 17 条

[11]

Kumar S., Kumar A., Abbas S., Al Qurashi M., Baleanu D., A modified analytical approach with existence and uniqueness for fractional Cauchy reaction–diffusion equations, Adv Difference Eqs, 2020, (2020)

[12]

Osman M.S., Korkmaz A., Rezazadeh H., Mirzazadeh M., Eslami M., Zhou Q., The unified method for conformable time–fractional Schrödinger equation with perturbation terms, Chinese J Phys, 56, 5, pp. 2500-2506, (2018)

[13]

Rezazadeh H., Korkmaz A., Eslami M., Vahidi J., Asghari R., Traveling wave solution of conformable fractional generalized reaction Duffing model by generalized projective Riccati equation method, Opt Quant Electron, 50, 3, pp. 1-13, (2018)

[14]

Sadaf M., Akram G., Effects of fractional order derivative on the solution of time–fractional Cahn-Hilliard equation arising in digital image inpainting, Indian J Phys, 95, 5, pp. 891-899, (2021)

[15]

Sajid N., Akram G., Dark, singular, bright, rational and periodic solutions of the space–time fractional Fokas-Lenells equation by the ϕ<sup>6</sup>–model expansion method, Optik: Int J Light Electron Opt, 228, (2021)

[16]

Tariq H., Akram G., New approach for exact solutions of time fractional Cahn-Allen equation and time fractional Phi–4 equation, Physica A, 473, pp. 352-362, (2017)

[17]

Zayed E.M.E., Alurrfi K.A.E., The generalized projective Riccati equations method for solving nonlinear evolution equations in mathematical physics, Abstract Appl Anal, 2014, (2014)

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