New explicit solutions of the Klein–Gordon equation using the variational iteration method combined with the Exp-function method

buckling of viscoelastic composite plates using the finite strip method

در سال های اخیر، تقاضای استفاده از تئوری خطی ویسکوالاستیسیته بیشتر شده است. با افزایش استفاده از کامپوزیت های پیشرفته در صنایع هوایی و همچنین استفاده روزافزون از مواد پلیمری، اهمیت روش های دقیق طراحی و تحلیل چنین ساختارهایی بیشتر شده است. این مواد جدید از خودشان رفتارهای مکانیکی ارائه می دهند که با تئوری های الاستیسیته و ویسکوزیته، نمی توان آن ها را توصیف کرد. این مواد، خواص ویسکوالاستیک دارند....

New Explicit Exact Solutions of Nonlinear Evolution Equations Using the Generalized Auxiliary Equation Method Combined with Exp-function Method

Abstract:In this paper, we utilize the Exp-function method with symbolic computational system Maple to constructing generalized solitary solutions of auxiliary equation. With the aid of auxiliary equation and its generalized solitary solutions, new exact solutions with three arbitrary functions of two nonlinear evolution equations in physics, namely, higher-order nonlinear Schrodinger equation ...

The variational iteration method for solving Nagumo telegraph equation

Exact Solutions of the Drinfel’d-Sokolov-Wilson Equation Using the F-Expansion Method Combined with Exp-Function Method

In this paper, the Exp-function method is used to seek generalized solitonary solutions of Riccati equation. Based on the generalized solitonary solutions of Riccati equation, some new exact solutions of the the classical Drinfel’d-Sokolov-Wilson equation are obtained by F-expansion method. It is shown that the F-expansion method combined with Expfunction method (F-Exp method) provides a straig...

Exact and explicit solutions for the discrete Burgers equation by means of the Exp-function method

In recent years, various direct methods were proposed to find exact solutions not only for nonlinear partial differential equations but also for nonlinear differential-difference equations (NDDEs). In this paper, the Exp-function method was extended to the discrete Burgers equation for searching traveling waves in closed forms. It was shown that the equation supported discrete solitary wave sol...