GASMI, BOUBEKEUR, Kessi, Arezki, Hammouch, Zakia. (1400). Various optical solutions to the (1+1)-Telegraph equation with space-time conformable derivatives. هنرهای کاربردی, 12(Special Issue), 767-780. doi: 10.22075/ijnaa.2021.5431
BOUBEKEUR GASMI; Arezki Kessi; Zakia Hammouch. "Various optical solutions to the (1+1)-Telegraph equation with space-time conformable derivatives". هنرهای کاربردی, 12, Special Issue, 1400, 767-780. doi: 10.22075/ijnaa.2021.5431
GASMI, BOUBEKEUR, Kessi, Arezki, Hammouch, Zakia. (1400). 'Various optical solutions to the (1+1)-Telegraph equation with space-time conformable derivatives', هنرهای کاربردی, 12(Special Issue), pp. 767-780. doi: 10.22075/ijnaa.2021.5431
GASMI, BOUBEKEUR, Kessi, Arezki, Hammouch, Zakia. Various optical solutions to the (1+1)-Telegraph equation with space-time conformable derivatives. هنرهای کاربردی, 1400; 12(Special Issue): 767-780. doi: 10.22075/ijnaa.2021.5431

Various optical solutions to the (1+1)-Telegraph equation with space-time conformable derivatives

International Journal of Nonlinear Analysis and Applications
دوره 12، Special Issue، اسفند 2021، صفحه 767-780    اصل مقاله (344.2 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5431
نویسندگان
BOUBEKEUR GASMI1؛ Arezki Kessi2؛ Zakia Hammouch* 3، 4، 5
1Higher school of Management and Digital Economy, Kolea, Algeria
2Dynamical Systems Laboratory, University of Sciences and Technology USTHB, Algeria
3Division of Applied Mathematics,Thu Dau Mot University,Binh Duong Province,Vietnam
4Department of Medical Research,China Medical University Hospital,Taichung,Taiwan
5Department of Sciences,Ecole normale superieure,Moulay Ismail University of Meknes,Morocco
چکیده
This paper presents a new sub-equation method based on an auxiliary equation which is implemented via the well-known generalized Kudryashov method, to construct new traveling waves to the Telegraph equation with time and space conformable derivatives. To illustrate its effectiveness, it was tested for seeking traveling wave solutions to the (1+1)-Telegraph equation with space-time conformable derivatives. With the help of Maple Software we derive some new solitary waves solutions. It can be concluded that the proposed method is an accurate tool for solving several kind of nonlinear evolution equations.
کلیدواژه‌ها
(1+1)-Telegraph equation؛ Generalized Kudryashov method؛ Conformable derivative؛ Auxiliary equation؛ Traveling wave؛ Optical solutions
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