Utilizing the extended tanh-function technique to scrutinize fractional order nonlinear partial differential equations Article Swipe
U.H.M. Zaman
,
Mohammad Asif Arefin
,
M. Ali Akbar
,
M. Hafiz Uddin
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1016/j.padiff.2023.100563
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1016/j.padiff.2023.100563
In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many complicated nonlinear behaviors can be pronounced using nonlinear fractional partial differential equations. The nonlinear traveling waves, including nonlinear space-time fractional order differential equations such as the time fractional Sharma-Tasso-Olver (STO) and the space-time fractional Kowerteg-de Vries-Burgers (KdV-Burgers) equations, are analysis through a resourceful approach, namely the extended tanh-function by the definition of the conformable derivative. The stated equations are prevalently used in marine and coastal infrastructure, such as fluid flow, plasma engineering, fiber optics, fusion and fission phenomena, and so on. By renovating fractional order differential equations to ordinary differential equations, fractional order differential transformation simplifies the solution process. Several types of solutions, such as soliton types, bell types, kink types, and some other kinds of results, are developed and portrayed for definite values of free parameters that are plotted in terms of 3D, contour, and spherical shapes. The method is an algebraic approach that is both direct and efficient for dealing with nonlinear equations and yield a distinct category of solutions known as solitons. The suggested method is being used in this study to generate attractive, and effective results that are flexible, easy, and quicker to simulate using general mathematical techniques, namely Maple. It is worth declaring that all resultant solutions are verified for accuracy by exchanging them directly within the original equation through the software package and originating them accurately.MSC: 35C25, 35C07, 35C08, 35Q20, 76B25
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- article
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- en
- Landing Page
- https://doi.org/10.1016/j.padiff.2023.100563
- OA Status
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- Cited By
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- OpenAlex ID
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https://openalex.org/W4387479821Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.padiff.2023.100563Digital Object Identifier
- Title
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Utilizing the extended tanh-function technique to scrutinize fractional order nonlinear partial differential equationsWork title
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-10-11Full publication date if available
- Authors
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U.H.M. Zaman, Mohammad Asif Arefin, M. Ali Akbar, M. Hafiz UddinList of authors in order
- Landing page
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https://doi.org/10.1016/j.padiff.2023.100563Publisher landing page
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://doi.org/10.1016/j.padiff.2023.100563Direct OA link when available
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Nonlinear system, Partial differential equation, Hyperbolic function, Mathematics, Soliton, Mathematical analysis, Differential equation, Fractional calculus, Hyperbolic partial differential equation, Applied mathematics, Physics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
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30Total citation count in OpenAlex
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2025: 18, 2024: 11, 2023: 1Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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