Shock waves solution of nonlinear partial differential equation system by using the ansatz method

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• 作者：Ozkan Guner ^{ozkanguner@karatekin.edu.tr}
• 关键词：Shock waves solution ; Homogeneous KdV equations ; Coupled potential KdV equation ; Novikov&ndash ; Veselov equation
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：130
• 期：Complete
• 页码：448-454
• 全文大小：531 K
• 卷排序：130

文摘

In this paper, we obtained the shock waves solutions of homogeneous KdV, the coupled potential KdV and the Novikov–Veselov equations. By using an ansatz in the form of tanhp functions, we obtain the shock waves solution for the considered model. The physical parameters in the solutions of ansatz method; free parameters and velocity are obtained as functions of the dependent model coefficients.