Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations
In this paper, the extended (G′/G)-expansion method has been suggested for constructing travelling wave solutions of the Schamel–Korteweg–de Vries (s-KdV) and the Schamel equations with aid of computer systems like Maple or Mathematica. The hyperbolic function solutions and the trigonometric functio...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-10-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X16300025 |
| _version_ | 1818176921343623168 |
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| author | Figen Kangalgil |
| author_facet | Figen Kangalgil |
| author_sort | Figen Kangalgil |
| collection | DOAJ |
| description | In this paper, the extended (G′/G)-expansion method has been suggested for constructing travelling wave solutions of the Schamel–Korteweg–de Vries (s-KdV) and the Schamel equations with aid of computer systems like Maple or Mathematica. The hyperbolic function solutions and the trigonometric function solutions with free parameters of these equations have been obtained. Moreover, it has been shown that the suggested method is elementary, effective and has been used to solve nonlinear evolution equations in applied mathematics, engineering and mathematical physics. |
| first_indexed | 2024-12-11T20:23:52Z |
| format | Article |
| id | doaj.art-166321dc0d5e464bb4b12144a53d10a2 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-11T20:23:52Z |
| publishDate | 2016-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-166321dc0d5e464bb4b12144a53d10a22022-12-22T00:52:00ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2016-10-0124452653110.1016/j.joems.2016.01.007Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equationsFigen KangalgilIn this paper, the extended (G′/G)-expansion method has been suggested for constructing travelling wave solutions of the Schamel–Korteweg–de Vries (s-KdV) and the Schamel equations with aid of computer systems like Maple or Mathematica. The hyperbolic function solutions and the trigonometric function solutions with free parameters of these equations have been obtained. Moreover, it has been shown that the suggested method is elementary, effective and has been used to solve nonlinear evolution equations in applied mathematics, engineering and mathematical physics.http://www.sciencedirect.com/science/article/pii/S1110256X16300025Schamel–Korteweg–de Vries equationSchamel equationTravelling wave solutions |
| spellingShingle | Figen Kangalgil Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations Journal of the Egyptian Mathematical Society Schamel–Korteweg–de Vries equation Schamel equation Travelling wave solutions |
| title | Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations |
| title_full | Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations |
| title_fullStr | Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations |
| title_full_unstemmed | Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations |
| title_short | Travelling wave solutions of the Schamel–Korteweg–de Vries and the Schamel equations |
| title_sort | travelling wave solutions of the schamel korteweg de vries and the schamel equations |
| topic | Schamel–Korteweg–de Vries equation Schamel equation Travelling wave solutions |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X16300025 |
| work_keys_str_mv | AT figenkangalgil travellingwavesolutionsoftheschamelkortewegdevriesandtheschamelequations |