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Q4 2019

The Generalized Riccati Equation Mapping for Solving (cmZKB) and (pZK) Equations

M. S. Al-Amry · Mariam M. F. Al-Shaoosh
10.47372/uajnas.2019.n1.a17 387 Views 1 Citations
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Abstract

The generalized Riccati equation mapping is extended which is powerful and straight for Word mathematical tool for solving nonlinear partial differential equations. In this paper, we construct twenty-seven traveling wave solutions for Combined (1+3) Zakharov-Kuznetsov-burgers equation (cmZKB) and potential (1+3) Zakharov-Kuznetsov Equation (Pzk)by applying this method. In this method, \(Q^{'}=l+nQ+mQ^2\) is used, as the auxiliary equation, called the generalized Riccati equation, where l, m and n are arbitrary constants. Further, the solutions are expressed in terms of the hyperbolic function, the trigonometric function and elliptic function.

Cite this Article (APA)
M., S. A., Mariam, M. F. A. (2019). The Generalized Riccati Equation Mapping for Solving (cmZKB) and (pZK) Equations. University of Aden Journal of Natural and Applied Sciences. https://doi.org/10.47372/uajnas.2019.n1.a17
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Published in
ISSN 1606-8947
Quartile Q4
AMS Score 37
Field Natural Sciences
Publisher University of Aden
Country 🇾🇪 Yemen
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Publication Details
Year 2019
Language English
Added 06 Aug 2026