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Volume 7, Issue 1, June 2018, Page: 43-53
Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method
Attia Rani, Department of Mathematics, University of Wah, Wah Cantt., Pakistan
Munazza Saeed, Department of Mathematics, University of Wah, Wah Cantt., Pakistan
Muhammad Ashraf, Department of Mathematics, University of Wah, Wah Cantt., Pakistan
Rakshanda Zaman, Department of Mathematics, University of Wah, Wah Cantt., Pakistan
Qazi Mahmood-Ul-Hassan, Department of Mathematics, University of Wah, Wah Cantt., Pakistan
Kamran Ayub, Department of Mathematics, Riphah International University, Islamabad, Pakistan
Received: Jun. 24, 2018;       Accepted: Jul. 13, 2018;       Published: Aug. 8, 2018
Abstract
Nonlinear mathematical models and their solutions attain much attention in soliton theory. In this paper, main focus is to find travelling wave solutions of foam drainage equation and NLEE of fourth order. (G'/G)-expansion method is applied on these nonlinear differential equations. Wave transformation is used to convert nonlinear partial differential equation into an ordinary differential equation. It is observed that (G'/G)-expansion method is advanced and easy tool for finding solution of NLEEs in engineering, optics and mathematical physics. The proposed method is highly effective and reliable.
Keywords
(G'/G)-Expansion Method, Nonlinear Evolution Equations, Travelling Wave Solutions, Maple 18
Attia Rani, Munazza Saeed, Muhammad Ashraf, Rakshanda Zaman, Qazi Mahmood-Ul-Hassan, Kamran Ayub, Muhammad Yaqub Khan, Madiha Afzal, Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method, Optics. Vol. 7, No. 1, 2018, pp. 43-53. doi: 10.11648/j.optics.20180701.17
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