Jalil Manafian Heris

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We establish exact solutions including periodic wave and solitary wave solutions for the integrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota system. We employ this system by using a generalized (G'/G)-expansion and the generalized tanh-coth methods. These methods are developed for searching exact travelling wave solutions of nonlinear partial(More)
Solitary wave and periodic wave solutions for variants of the KdV–Burger and the K(n, n)–Burger equations by the generalized tanh–coth method License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract An application of the generalized tanh–coth method to search for exact(More)
In this work, the homotopy perturbation method (HPM), variational iteration method (VIM) and Ado-mian decomposition method (ADM) are applied to solve the Rosenau–Hyman equation. We used the initial condition u(x, 0) = − 8 3 cos 2 x 4 for aforementioned methods. Numerical solutions obtained by these methods are compared with the exact solutions, revealing(More)
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