New Analytical Solutions for the Fractional Modified Korteweg de Vries-Zakharov-Kuznetsov Equation with Beta Derivative
DOI:
https://doi.org/10.56919/usci.2542.008Keywords:
Modified methods, (3+1)-dimensional modified Korteweg-de Vries Zukharov-Kuznetsov equation, Atangana’s Beta fractional derivative, sine-cosine methodAbstract
Study’s Excerpt:
• New exact solutions for the modified fractional (3+1)-dimensional Korteweg–de Vries–Zakharov–Kuznetsov equation are presented.
• The 2D and 3D graphical representations of the new solutions are provided.
• The effectiveness of the sine-cosine method is demonstrated.
Full Abstract:
This paper employs the sine-cosine method to derive new exact solutions for the modified fractional (3+1)-dimensional Korteweg-de Vries–Zakharov-Kuznetsov equation using the Beta fractional derivative approach. The effectiveness of the sine-cosine method is demonstrated through the successful construction of exact solutions, which are further illustrated with 3D and 2D graphical representations. The results highlight the potential of this method as a powerful and efficient tool for solving nonlinear fractional partial differential equations, providing insights into the behavior and structure of complex physical phenomena described by such equations.
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