New Analytical and Numerical Results For Fractional Bogoyavlensky-Konopelchenko Equation Arising in Fluid Dynamics

In this article, (2 + 1)-dimensional time fractional Bogoyavlensky-Konopelchenko (BK) equation is studied, which describes the interaction of wave propagating along the x axis and y axis. To acquire the exact solutions of BK equation we employed sub equation method that is predicated on Riccati equa...

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Bibliographic Details
Published in:Applied Mathematics-A Journal of Chinese Universities 2020-03, Vol.35 (1), p.101-112
Main Author: Kurt, Ali
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computational fluid dynamics
Exact solutions
Mathematics
Power series
Riccati equation
Wave propagation
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Summary:In this article, (2 + 1)-dimensional time fractional Bogoyavlensky-Konopelchenko (BK) equation is studied, which describes the interaction of wave propagating along the x axis and y axis. To acquire the exact solutions of BK equation we employed sub equation method that is predicated on Riccati equation, and for numerical solutions the residual power series method is implemented. Some graphical results that compares the numerical and analytical solutions are given for different values of μ . Also comparative table for the obtained solutions is presented.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-020-3808-9