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Application of Exp-function Method to Wave Solutions of the Sine-Gordon and Ostrovsky Equations 被引量:2

Application of Exp-function Method to Wave Solutions of the Sine-Gordon and Ostrovsky Equations
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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. 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.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2016年第3期571-578,共8页 应用数学学报(英文版)
关键词 exp-function method nonlinear equation wave solutions Sine-Gordon equation Ostrovsky equation exp-function method nonlinear equation wave solutions Sine-Gordon equation Ostrovsky equation
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