Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations

Waheed A. Ahmed, F. D. Zaman and Khairul Saleh
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Waheed A. Ahmed: Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
F. D. Zaman: Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Khairul Saleh: Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Mathematics, 2017, vol. 5, issue 4, 1-17

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.

Keywords: approximate symmetry; approximate invariant solution; nonlinear wave equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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