Approximate symmetries and invariant solutions for the generalizations of the Burgers- Korteweg-de Vries mod

	Approximate symmetries and invariant solutions for the generalizations of the Burgers- Korteweg-de Vries mod
AUT Journal of Modeling and Simulation
مقاله 71، دوره 51، شماره 2، اسفند 2019، صفحه 249-254 اصل مقاله (1.92 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22060/miscj.2021.19554.5240
نویسندگان
Hamid Razzaghi¹؛ Mehdi Nadjafikhah^* ²؛ Yousef Alipour Fakhri¹
¹Department of Mathematics, Payame Noor University, Tehran, Iran
²School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
چکیده
In this paper the generalizations of the Burgers-Korteweg-de Vries model with small parameter derived by Kudryshov et al[ N.A. Kudryashov, D.I. Sinelshchikov. Extended models of non-linear waves in liquid with gas bubbles, International Journal of Non-Linear Mechanics 63 (2014) 31-38] is studied. A comprehensive study on the approximate symmetry analysis of the waves models is presented. First, we obtain approximate symmetry for the equation. Subsequently, in a physical application, using the first-order approximate symmetries, corresponding approximate invariant solutions to the perturbed non-linear models are obtained.
کلیدواژه‌ها
Perturbed model؛ Approximate symmetry؛ Approximate invariant solution؛ Waves in liquid with gas bubbles
مراجع

آمار تعداد مشاهده مقاله: 531 تعداد دریافت فایل اصل مقاله: 387