Exact traveling wave solutions of Kadomtsev–Petviashvili equation | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 2, 2015, Page 278-281 PDF (399.87 K) | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.03.010 | ||||
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Authors | ||||
Kamruzzaman Khan* 1; M. Ali Akbar2 | ||||
1Department of Mathematics, Pabna University of Science and Technology, Pabna 6600, Bangladesh | ||||
2Department of Applied Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh | ||||
Abstract | ||||
In this paper, the exp(U(n))-expansion method with the aid of Maple has been used to obtain the exact solutions of the Kadomtsev–Petviashvili (KP) equation. Each of the obtained solutions, namely hyperbolic function solutions, trigonometric function solutions and rational function solutions, contain an explicit function of the variables in the considered equation. It has been shown that the method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems. | ||||
Keywords | ||||
Exp(U(n))-expansion method; KP equation; Exact solution; NLEEs | ||||
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