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New Conformable P-Type $(3+1)$-Dimensional Evolution Equation and its Analytical and Numerical Solutions

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Titel: New Conformable P-Type $(3+1)$-Dimensional Evolution Equation and its Analytical and Numerical Solutions
Autoren: Mehmet Şenol, Meliha Özlem Erol
Quelle: Journal of New Theory, Iss 46, Pp 71-88 (2024)
Issue: 4671-88
Journal of New Theory
Verlagsinformationen: Gaziosmanpasa University, 2024.
Publikationsjahr: 2024
Schlagwörter: $(3+1)$-dimensional evolution equation, residual power series method, Matematiksel Yöntemler ve Özel Fonksiyonlar, $\exp(–\phi(\xi))$-expansion method, 0103 physical sciences, QA1-939, modified extended tanh-function method, conformable derivative, 01 natural sciences, Mathematics, Mathematical Methods and Special Functions
Beschreibung: The paper examines the conformable nonlinear evolution equation in $(3+1)$-dimensions. First, basic definitions and characteristics for the conformable derivative are given. Then, the modified extended tanh-function and $\exp(–\phi(\xi))$-expansion techniques are utilized to determine the exact solutions to this problem. The consequences of some of the acquired data's physical 3D and 2D contour surfaces are used to demonstrate the findings, providing insight into how geometric patterns are physically interpreted. These solutions help illustrate how the studied model and other nonlinear representations in physical sciences might be used in real-world scenarios. It is clear that these methods have the capacity to solve a large number of fractional differential equations with beneficial outcomes.
Publikationsart: Article
Dateibeschreibung: application/pdf
ISSN: 2149-1402
DOI: 10.53570/jnt.1420224
Zugangs-URL: https://doaj.org/article/7411725bb717497cad4abc91aaff2707
https://dergipark.org.tr/tr/pub/jnt/issue/83886/1420224
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  Data: New Conformable P-Type $(3+1)$-Dimensional Evolution Equation and its Analytical and Numerical Solutions
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  Data: <searchLink fieldCode="AR" term="%22Mehmet+Şenol%22">Mehmet Şenol</searchLink><br /><searchLink fieldCode="AR" term="%22Meliha+Özlem+Erol%22">Meliha Özlem Erol</searchLink>
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  Data: Journal of New Theory, Iss 46, Pp 71-88 (2024)<br />Issue: 4671-88<br />Journal of New Theory
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  Data: Gaziosmanpasa University, 2024.
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  Data: 2024
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  Data: <searchLink fieldCode="DE" term="%22%24%283%2B1%29%24-dimensional+evolution+equation%22">$(3+1)$-dimensional evolution equation</searchLink><br /><searchLink fieldCode="DE" term="%22residual+power+series+method%22">residual power series method</searchLink><br /><searchLink fieldCode="DE" term="%22Matematiksel+Yöntemler+ve+Özel+Fonksiyonlar%22">Matematiksel Yöntemler ve Özel Fonksiyonlar</searchLink><br /><searchLink fieldCode="DE" term="%22%24%5Cexp%28–%5Cphi%28%5Cxi%29%29%24-expansion+method%22">$\exp(–\phi(\xi))$-expansion method</searchLink><br /><searchLink fieldCode="DE" term="%220103+physical+sciences%22">0103 physical sciences</searchLink><br /><searchLink fieldCode="DE" term="%22QA1-939%22">QA1-939</searchLink><br /><searchLink fieldCode="DE" term="%22modified+extended+tanh-function+method%22">modified extended tanh-function method</searchLink><br /><searchLink fieldCode="DE" term="%22conformable+derivative%22">conformable derivative</searchLink><br /><searchLink fieldCode="DE" term="%2201+natural+sciences%22">01 natural sciences</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Methods+and+Special+Functions%22">Mathematical Methods and Special Functions</searchLink>
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  Label: Description
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  Data: The paper examines the conformable nonlinear evolution equation in $(3+1)$-dimensions. First, basic definitions and characteristics for the conformable derivative are given. Then, the modified extended tanh-function and $\exp(–\phi(\xi))$-expansion techniques are utilized to determine the exact solutions to this problem. The consequences of some of the acquired data's physical 3D and 2D contour surfaces are used to demonstrate the findings, providing insight into how geometric patterns are physically interpreted. These solutions help illustrate how the studied model and other nonlinear representations in physical sciences might be used in real-world scenarios. It is clear that these methods have the capacity to solve a large number of fractional differential equations with beneficial outcomes.
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  Data: 10.53570/jnt.1420224
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        PageCount: 18
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    Subjects:
      – SubjectFull: $(3+1)$-dimensional evolution equation
        Type: general
      – SubjectFull: residual power series method
        Type: general
      – SubjectFull: Matematiksel Yöntemler ve Özel Fonksiyonlar
        Type: general
      – SubjectFull: $\exp(–\phi(\xi))$-expansion method
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      – SubjectFull: 0103 physical sciences
        Type: general
      – SubjectFull: QA1-939
        Type: general
      – SubjectFull: modified extended tanh-function method
        Type: general
      – SubjectFull: conformable derivative
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      – SubjectFull: 01 natural sciences
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      – SubjectFull: Mathematics
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      – SubjectFull: Mathematical Methods and Special Functions
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    Titles:
      – TitleFull: New Conformable P-Type $(3+1)$-Dimensional Evolution Equation and its Analytical and Numerical Solutions
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              Y: 2024
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