Exact solutions of the Biswas-Milovic equation, the ZK(m,n,k) equation and the K(m,n) equation using the generalized Kudryashov method
Copyright policy )Exact solutions of the Biswas-Milovic equation, the ZK(m,n,k) equation and the K(m,n) equation using the generalized Kudryashov method
AbstractIn this article, we apply the generalized Kudryashov method for finding exact solutions of three nonlinear partial differential equations (PDEs), namely: the Biswas-Milovic equation with dual-power law nonlinearity; the Zakharov--Kuznetsov equation (ZK(m,n,k)); and the K(m,n) equation with the generalized evolution term. As a result, many analytical exact solutions are obtained including symmetrical Fibonacci function solutions, and hyperbolic function solutions. Physical explanations for certain solutions of the three nonlinear PDEs are obtained.
- Ain Shams University Egypt
- Zagazig University Egypt
nonlinear pdes, generalized kudryashov method, 05.45.yv, symmetrical hyperbolic fibonacci function, Physics, QC1-999, the zakharov–kuznetsov equation, exact solutions, 02.30 jr, the k(m,n) equation, 02.30.ik, the biswas-milovic equation
nonlinear pdes, generalized kudryashov method, 05.45.yv, symmetrical hyperbolic fibonacci function, Physics, QC1-999, the zakharov–kuznetsov equation, exact solutions, 02.30 jr, the k(m,n) equation, 02.30.ik, the biswas-milovic equation
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