Reduced differential transform method for nonlinear integral member of Kadomtsev-Petviashvili hierarchy differential equations

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• 作者：Mohamed S. Mohamed^a ; ^c ; ^{m_s_mohamed2000@yahoo.com} ; Khaled A. Gepreel^b ; ^c ; ^{kagepreel@yahoo.com}
• 关键词：Reduced differential transforms method ; Partial differential equations ; Integral KP hierarchy equation ; Analytic approximate solutions
• 刊名：Journal of the Egyptian Mathematical Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：25
• 期：1
• 页码：1-7
• 全文大小：1418 K
• 卷排序：25

文摘

The main objective of this paper is to use the reduced differential to transform method (RDTM) for finding the analytical approximate solutions of two integral members of nonlinear Kadomtsev–Petviashvili (KP) hierarchy equations. Comparing the approximate solutions which obtained by RDTM with the exact solutions to show that the RDTM is quite accurate, reliable and can be applied for many other nonlinear partial differential equations. The RDTM produces a solution with few and easy computation. This method is a simple and efficient method for solving the nonlinear partial differential equations. The analysis shows that our analytical approximate solutions converge very rapidly to the exact solutions.