Browsing Faculty of Natural and Agricultural Sciences by Subject "Kudryashov method"
Now showing items 1-4 of 4
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Rosenau-KdV equation coupling with the Rosenau-RLW equation: conservation laws and exact solutions
(De Gruyter, 2017)We compute the conservation laws for the Rosenau-Kortweg de Vries equation coupling with the Regularized Long-Wave equation using Noether's approach through a remarkable method of increasing the order of the Rosenau-KdV-RLW ... -
Solitary and periodic wave solutions of the Majda-Biello system
(World Scientific Publishing, 2016)In this paper, we present the exact solutions of the Majda-Biello system. This system describes the nonlinear interaction of long-wavelength equatorial Rossby waves and barotropic Rossby waves with a substantial midlatitude ... -
Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation
(SpringerSpringer, 2017)In this paper, we study a nonlinear evolution partial differential equation, namely the (3+1)-dimensional Zakharov-Kuznetsov equation. Kudryashov method together with Jacobi elliptic function method is used to obtain the ... -
Variational approach and exact solutions for a generalized coupled Zakharov-Kuznetsov system
(Elsevier, 2017)In the present paper, we obtain a variational principle for a generalized coupled Zakharov-Kuznetsov system, which does not admit any Lagrangian formulation in its present form. The eminent Noether's theorem will then be ...