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Jafari, Mehdi, Darvazebanzade, Razie. (1401). Approximate symmetry group analysis and similarity reductions of the perturbed mKdV-KS equation. سامانه مدیریت نشریات علمی, 11(1), 175-182. doi: 10.22034/cmde.2022.48341.2022
Mehdi Jafari; Razie Darvazebanzade. "Approximate symmetry group analysis and similarity reductions of the perturbed mKdV-KS equation". سامانه مدیریت نشریات علمی, 11, 1, 1401, 175-182. doi: 10.22034/cmde.2022.48341.2022
Jafari, Mehdi, Darvazebanzade, Razie. (1401). 'Approximate symmetry group analysis and similarity reductions of the perturbed mKdV-KS equation', سامانه مدیریت نشریات علمی, 11(1), pp. 175-182. doi: 10.22034/cmde.2022.48341.2022
Jafari, Mehdi, Darvazebanzade, Razie. Approximate symmetry group analysis and similarity reductions of the perturbed mKdV-KS equation. سامانه مدیریت نشریات علمی, 1401; 11(1): 175-182. doi: 10.22034/cmde.2022.48341.2022

Approximate symmetry group analysis and similarity reductions of the perturbed mKdV-KS equation

Computational Methods for Differential Equations
مقاله 13، دوره 11، شماره 1، فروردین 2023، صفحه 175-182  XML اصل مقاله (340.12 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.48341.2022
نویسندگان
Mehdi Jafari email ؛ Razie Darvazebanzade
Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran.
چکیده
In this paper, we apply the approximate symmetry transformation group to obtain the approximate symmetry group of the perturbed mKdV-KS equation which is a modified Korteweg-de Vries (mKdV) equation with a higher singularity perturbed term as the Kuramoto-Sivashinsky (KS) equation. Also, an optimal system of one-dimensional subalgebras of symmetry algebra is constructed and the corresponding differential invariants and some approximately invariant solutions of the equation are computed. 
کلیدواژه‌ها
Perturbed mKdV-KS equation؛ Approximate symmetry؛ Approximately invariant solution؛ Optimal system
مراجع
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