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Novel Traveling Wave Solutions of Generalized Seventh-Order KdV Equation and Related Equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 17 تیر 1402 اصل مقاله (1.68 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2023.53478.2254 | ||
| نویسندگان | ||
| Riadh Hedli* 1؛ Fella Berrimi2 | ||
| 1Department of Mathematics Faculty of Sciences University of Ferhat Abbas Setif 1 Algeria. | ||
| 2Department of Computer Science Faculty of Sciences University of Ferhat Abbas Setif 1 Algeria. | ||
| چکیده | ||
| In this paper, we acquire novel traveling wave solutions of the generalized seventh-order Korteweg--de Vries equation and the seventh-order Kawahara equation as a special case with physical interest. Primarily, we use the advenced exp(−φ(ξ))-expansion method to find new exact solutions of the first equation, by considering two auxiliary equations. Then, we attain some exact solutions of the seventh-order Kawahara equation by using this method with another auxiliary equation, and also using the modified (G'/G)-expansion method, where G satisfies a second order linear ordinary differential equation. Additionally, utilizing the recent scientific instruments, the 2D, 3D, and contour plots are displayed. The solutions obtained in this paper include the bright solitons, dark solitary wave solutions, and multiple dark solitary wave solutions. It is shown that these two methods provide an effective mathematical tool for solving nonlinear evolution equations arising in mathematical physics and engineering. | ||
| کلیدواژه‌ها | ||
| Nonlinear evolution equation؛ Generalized seventh-order Korteweg-de Vries equation؛ Traveling wave solution؛ exp(−φ(ξ))-expansion method؛ (G'/G)-expansion method | ||
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آمار تعداد مشاهده مقاله: 91 تعداد دریافت فایل اصل مقاله: 84 |
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