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Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 9، دوره 7، شماره 2، تیر 2019، صفحه 266-275 اصل مقاله (4.24 M) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Mohammad Rahimian* 1؛ Mehdi Nadjafikhah2 | ||
| 1Department of Mathematics, Masjed-Soleiman Branch, Islamic Azad University, Masjed-Soleiman, Iran. | ||
| 2Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology,Narmak, Tehran, 1684613114, Iran | ||
| چکیده | ||
| In this paper, the Lie approximate symmetry analysis is applied to investigate new exact solutions of the perturbed nonlinear Klein-Gordon equation. The nonlinear Klein-Gordon equation is used to model many nonlinear phenomena. The tanh-coth method, is employed to solve some of the obtained reduced ordinary differential equations. As a result, we construct new analytical solutions with small parameter which is effectively obtained by the proposed method. | ||
| کلیدواژهها | ||
| Perturbed Klein-Gordon equation؛ Exact solutions؛ Approximate symmetry؛ Approximate invariant solutions | ||
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آمار تعداد مشاهده مقاله: 1,171 تعداد دریافت فایل اصل مقاله: 607 |
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