Precise solutions to the Hirota equation and Hirota-Maccari system by using the extended rational methods

	Precise solutions to the Hirota equation and Hirota-Maccari system by using the extended rational methods
International Journal of Nonlinear Analysis and Applications
مقاله 2، دوره 15، شماره 2، اردیبهشت 2024، صفحه 11-27 اصل مقاله (797.55 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28400.4355
نویسندگان
Nikan Ahmadi Karchi؛ Mohammad Bagher Ghaemi^* ؛ Javad Vahidi
School of Mathematics and Computer science, Iran University of Science and Technology, Narmak, Tehran, Iran
چکیده
‎This ‎paper ‎adopts‎ the extended rational sinh-cosh as well as sine-cosine procedures to find precise solutions to the Hirota equation and Hirota-Maccari equation‎. ‎It is illustrated that seeking the precise solutions for these equations plays a foremost and effectual role in solving the numerous kinds of PDEs applied in optics, fluid mechanics, plasma physics and solid physics.‎‎ ‎Furthermore‎, ‎we are able to obtain some consequences of dark and cusp wave solutions‎. ‎Besides‎, ‎two-dimensional and three-dimensional surfaces have been drawn in order to acknowledge the concept of the acquired equations‎.
کلیدواژه‌ها
Sine-cosine and sinh-cosh method؛ Hirota equation؛ precise solutions‎؛ ‎Hirota-Maccari ‎system‎
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