Exact solutions for nonlinear foam drainage equation

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• 作者：E. M. E. Zayed ; Abdul-Ghani Al-Nowehy
• 关键词：Modified simple equation method ; Exp ; function method ; Soliton ansatz method ; Riccati equation expansion method and \((G^{\prime }/ G)\) ; expansion method ; Exact solutions ; The nonlinear foam drainage equation
• 刊名：Indian Journal of Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：91
• 期：2
• 页码：209-218
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general; Astrophysics and Astroparticles;
• 出版者：Springer India
• ISSN：0974-9845
• 卷排序：91

文摘

In this paper, the modified simple equation method, the exp-function method, the soliton ansatz method, the Riccati equation expansion method and the \(\left( G^{\prime }/G\right)\)-expansion method are used to construct exact solutions with parameters of the nonlinear foam drainage equation. When these parameters are taken to be special values, the solitary wave solutions and the trigonometric function solutions are derived from the exact solutions. The obtained results confirm that the proposed methods are efficient techniques for analytic treatments of a wide variety of nonlinear partial differential equations in mathematical physics. We compare our results together with each other yielding from these integration tools. Also, our results have been compared with the well-known results of others.