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E-ISSN: 2788-9327

P-ISSN: 1606-8947

Vol. 23 No. 1 (2019)

Exact solutions for a new models of nonlinear partial differential equations Using \((\frac {G^{'}}{G^{2}})\)-Expansion Method

  • M. S. Al-Amry Department of Mathematics, Faculty of Education, Aden University, Yemen
  • E. F. Abdullah Department of Mathematics, Faculty of Education, Aden University, Yemen

University of Aden Journal of Natural and Applied Sciences, Vol. 23 No. 1 (2019), 30-04-2019 Page 189-199

DOI:

https://doi.org/10.47372/uajnas.2019.n1.a16

Abstract

In this paper, we present a new model of Kadomtsev–Petviashvili (KP) equation, the KadomtsevPetviashvili–equal width (KP-EW) equation and the Yu–Toda–Sassa–Fukuyama (YTSF) equation. We apply the \((\frac {G^{'}}{G^{2}})\)-expansion method to solve the new models. Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions, trigonometric functions, rational functionssolutions of this equations from the method, with the aid of the software Maple.

Keywords:
    Kadomtsev–Petviashvili (KP) equation, modified(KP) equation, Kadomtsev–Petviashvili–equal width (KP-EW) equation, modified (KP-EW) equation, Yu–Toda–Sassa–Fukuyama (YTSF) equation, modified (YTSF) equation, exact solutions, \((\frac {G^{'}}{G^{2}})\)-expansion method

How to Cite

Al-Amry, M. S., & Abdullah, E. F. (2019). Exact solutions for a new models of nonlinear partial differential equations Using \((\frac {G^{’}}{G^{2}})\)-Expansion Method. University of Aden Journal of Natural and Applied Sciences, 23(1), 189–199. https://doi.org/10.47372/uajnas.2019.n1.a16
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