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Exact solutions of the combined Hirota-LPD equation with variable coefficients | ||
| Computational Methods for Differential Equations | ||
| مقاله 7، دوره 9، شماره 1، فروردین 2021، صفحه 94-116 اصل مقاله (175.68 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.31022.1466 | ||
| نویسندگان | ||
| Mehdi Fazli Aghdaei* 1؛ Hojatollah Adibi2 | ||
| 1Department of Mathematics, Payame Noor University, PO BOX 19395-3697, Tehran, Iran. | ||
| 2Department of Applied Mathematics, faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No.424, Hafez Avenue, Tehran 15914, Iran. | ||
| چکیده | ||
| In this paper, we construct exact families of traveling wave (periodic wave, singular wave, singular periodic wave, singular-solitary wave and shock wave) solutions of a well-known equation of nonlinear PDE, the variable coefficients combined HirotaLakshmanan-Porsezian-Daniel (Hirota-LPD) equation with the fourth nonlinearity, which describes an important development, and application of soliton dispersion management experiment in nonlinear optics is considered, and as an achievement, a series of exact traveling wave solutions for the aforementioned equation is formally extracted. This nonlinear equation is solved by using the extended trial equation method (ETEM) and the improved tan(ϕ/2)-expansion method (ITEM). Meanwhile, the mechanical features of some families are explained through offering the physical descriptions. Analytical treatment to find the nonautonomous rogue waves are investigated for the combined Hirota-LPD equation. | ||
| کلیدواژهها | ||
| Combined Hirota-Lakshmanan-Porsezian-Daniel equation؛ Nonautonomous rogue wave؛ Extended trial equation method؛ Improved tan(ϕ/2)-expansion method | ||
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