Application of Exp-function Method to Wave Solutions of the Sine-Gordon and Ostrovsky Equations

作     者：R.A.TALARPOSHTI S.E.GHASEMI Y.RAHMANI D.D.GANJI 

作者机构：Department of MathematicsFaculty of Mathematical SciencesMazandaran University Young Reseachers and Elite ClubSari BranchIslamic Azad University Department of Mechanical EngineeringBabol University of Technology 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2016年第32卷第3期

页      面：571-578页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：exp-function method nonlinear equation wave solutions Sine-Gordon equation Ostrovsky equation 

摘      要：In this work, the Exp-function method is employed to find new wave solutions for the Sine-Gordon and Ostrovsky equation. The equations are simplified to the nonlinear partial differential equations and then different types of exact solutions are extracted by this method. It is shown that the Exp-function method is a powerful analytical method for solving other nonlinear equations occurring in nonlinear physical phenomena. Results are presented in contour plots that show the different values of effective parameters on the velocity profiles.