Nonlinear Fractional Differential Equations. Some Exact Solitary Wave Solutions


Master's Thesis, 2021

53 Pages, Grade: 99/110


Abstract or Introduction

The current study deals with distinct kinds of solitary wave solutions for the fractional generalized Duffing model and fractional diffusion reaction model with novel truncated M-fractional derivative. We are also interested in studying some special
cases of the fractional generalized Duffing model.

These are known as fractional Landau-Ginzburg-Higgs equation, classical fractional Klein-Gordon equation, the
Phi-4 equation, the Sine-Gordon equation and the Duffing equation. The obtained results can be used in describing these models in some better way. The novel fractional derivative operator namely M-fractional derivative is used to study the above-mentioned models. Also, the obtained results are verified via symbolic software Mathematica. A modified integration method, the extended Sinh-Gordon equation expansion method (EShGEEM) is employed to secure the aforesaid solitary wave solutions. Furthermore, the obtained results show that the suggested approach have broadened capacity to obtain the different wave solutions of the fractional differential equations effectively. At the end, the results are also explained through their graphical representations.

Details

Title
Nonlinear Fractional Differential Equations. Some Exact Solitary Wave Solutions
College
University of Verona
Grade
99/110
Author
Year
2021
Pages
53
Catalog Number
V1061186
ISBN (eBook)
9783346446992
ISBN (Book)
9783346447005
Language
English
Keywords
solitary wave solutions, truncated M-fractional derivative, extended Sinh-Gordon equation expansion method, fractional diffusion reaction model, fractional generalized reaction Duffing model
Quote paper
Anoosha Qaisar (Author), 2021, Nonlinear Fractional Differential Equations. Some Exact Solitary Wave Solutions, Munich, GRIN Verlag, https://www.grin.com/document/1061186

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