Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations
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 disadva...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/5/4/59 |
| _version_ | 1817979720956903424 |
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| author | Waheed A. Ahmed F. D. Zaman Khairul Saleh |
| author_facet | Waheed A. Ahmed F. D. Zaman Khairul Saleh |
| author_sort | Waheed A. Ahmed |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T22:45:10Z |
| format | Article |
| id | doaj.art-030eac91f8b04442935c9a2f472aa179 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-13T22:45:10Z |
| publishDate | 2017-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-030eac91f8b04442935c9a2f472aa1792022-12-22T02:26:24ZengMDPI AGMathematics2227-73902017-11-01545910.3390/math5040059math5040059Invariant Solutions for a Class of Perturbed Nonlinear Wave EquationsWaheed A. Ahmed0F. D. Zaman1Khairul Saleh2Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaApproximate 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.https://www.mdpi.com/2227-7390/5/4/59approximate symmetryapproximate invariant solutionnonlinear wave equation |
| spellingShingle | Waheed A. Ahmed F. D. Zaman Khairul Saleh Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations Mathematics approximate symmetry approximate invariant solution nonlinear wave equation |
| title | Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations |
| title_full | Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations |
| title_fullStr | Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations |
| title_full_unstemmed | Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations |
| title_short | Invariant Solutions for a Class of Perturbed Nonlinear Wave Equations |
| title_sort | invariant solutions for a class of perturbed nonlinear wave equations |
| topic | approximate symmetry approximate invariant solution nonlinear wave equation |
| url | https://www.mdpi.com/2227-7390/5/4/59 |
| work_keys_str_mv | AT waheedaahmed invariantsolutionsforaclassofperturbednonlinearwaveequations AT fdzaman invariantsolutionsforaclassofperturbednonlinearwaveequations AT khairulsaleh invariantsolutionsforaclassofperturbednonlinearwaveequations |