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Mathematics 2017, 5(4), 59; doi:10.3390/math5040059

Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations

Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
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Received: 22 September 2017 / Revised: 20 October 2017 / Accepted: 23 October 2017 / Published: 1 November 2017
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Abstract

Approximate symmetries of a class of perturbed nonlinear wave equations are computed using two newly-developed methods. Invariant solutions associated with the approximate symmetries are constructed for both methods. Symmetries and solutions are compared through discussing the advantages and disadvantages of each method. View Full-Text
Keywords: approximate symmetry; approximate invariant solution; nonlinear wave equation approximate symmetry; approximate invariant solution; nonlinear wave equation
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MDPI and ACS Style

Ahmed, W.A.; Zaman, F.D.; Saleh, K. Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations. Mathematics 2017, 5, 59.

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