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Further improved F-expansion method and new exact solutions of Kadomstev–Petviashvili equation

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  • Sheng, Zhang

Abstract

In this paper, the generalized F-expansion method [Chen J, He HS, Yang KQ. Commun Theor Phys (Beijing, China) 2005;44:307] is improved and a further improved F-expansion method is proposed to seek more types of exact solutions of non-linear evolution equations. With the aid of symbolic computation, we choose the (3+1)-dimensional Kadomstev–Petviashvili equation to illustrate the validity and advantages of the proposed method. As a result, many new and more general solutions are obtained including single and combined non-degenerate Jacobi elliptic function solutions, soliton-like solutions, trigonometric function solutions. This method can also be applied to other non-linear evolution equations in mathematical physics.

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  • Sheng, Zhang, 2007. "Further improved F-expansion method and new exact solutions of Kadomstev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1375-1383.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:4:p:1375-1383
    DOI: 10.1016/j.chaos.2005.11.070
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    Cited by:

    1. Jang, Bongsoo, 2009. "New exact travelling wave solutions of nonlinear Klein–Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 646-654.

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