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This paper obtains the soliton solutions of the Ito integro-differential equation. The / G G ′ method will be used to carry out the solutions of this equation and then the solitary wave ansatz method will be used to obtain a 1-soliton solution of this equation. Finally, the invariance and multiplier approach will be applied to recover a few of the conserved… (More)
In this paper, we use an efficient numerical algorithm for solving two point fourth-order linear and nonlinear boundary value problems, which is based on the Adomian decomposition method (ADM), namely, the extended ADM (EADM). The proposed method is examined by comparing the results with other methods. Numerical results show that the proposed method is much… (More)
This paper studies the (3+1)-dimensional extended Kadomtsev-Petviashvili equation with power law nonlinearity that apperas in the study of multi-component plasmas. The solutions are obtained by several methods such as modified F-expansion method, exp-function method, / G G ′ expansion method, ansatz method, traveling wave hypothesis, the improved Jacobi's… (More)
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In this paper, the (G G)-expansion method is used to solve the Burgers, Fisher and Burgers-Fisher equations. New traveling wave solutions are obtained for these equations. It is illustrated that our solutions are more general. It is shown that the proposed method is direct and effective.