Two new applications of tan(F(ξ)/2) -expansion method

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• 作者：Yavuz Ugurlu^a ; ^{matematikci_23@yahoo.com.tr} ; Ibrahim E. Inan^b ; ^{ieinan@yahoo.com} ; Hasan Bulut^a ; ^{hbulut@firat.edu.tr}
• 关键词：Potential KdV equation ; the (3&thinsp ; +&thinsp ; 1)-dimensional shallow water wave equation ; Tan(F(ξ)/2)-expansion method ; Traveling wave solutions
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：131
• 期：Complete
• 页码：539-546
• 全文大小：1359 K
• 卷排序：131

文摘

In this study, we consider the tan(F(ξ)2)-expansion methodfor the traveling wave solutions of the potential KdV equation (pKdV)and the (3 + 1)-dimensional shallow water wave equation (SWWE). We find some traveling wave solutions such as trigonometric function, hyperbolic function, exponential function solutions. Then, we showthe two and three dimensional surfaces for some traveling wave solutions obtained in this study by the Mathematica.