دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات43
تعداد شماره‌ها1,223
تعداد مقالات15,032
تعداد مشاهده مقاله50,503,839
تعداد دریافت فایل اصل مقاله13,594,618
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    اصل مقاله (340.12 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.48341.2022
نویسندگان
Mehdi Jafari* ؛ 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
  • [1] V. A. Baˇikov, R. K. Gazizov, and N. H. Ibragimov, Approximate symmetries, Matematicheskii Sbornik, 64(2) (1989), 427–441.
  • [2] V. A. Baˇilov, R. K. Gazizov, and N. H. Ibragmov, Pertubation methods in group analysis, Journal of Mathematical Sciences, 55(1) (1991), 1450–1485.
  • [3] N. Euler, M. W. Shulga, and W. H. Steeb, Approximate symmetries and approximate solutions for amultidimen- sional Landau-Ginzburg equation, J. Phys. A, 25(18) (1992), 1095–1103.
  • [4] W. I. Fushchich and W. M. Shtelen, On approximate symmetry and approximate solutions of the non-linear wave equation with a small parameter, J. Phys. A, 22 (1989), 887–890.
  • [5] M. S. Hashemi, A. Haji-Badali, F. Alizadeh, and M. Inc, Nonclassical Lie symmetry and conservation laws of the nonlinear time-fractional Korteweg-de Vries equation, Communications in Theoretical Physics., 73(9) (2021), 095006.
  • [6] N. H. Ibragimov and V. F. Kovalev, Approximate and Renorm-group Symmetries, Nonlinear Physical Science, Higher Education Press, Beijing, China, 2009, A. C.J Luo and N.H Ibragimov, Eds.
  • [7] M. Jafari and A. Tanhaeivash, Symmetry group analysis and similarity reductions of the thin film equation, Journal of Linear and Topological Algebra, 10(4) (2021), 287-293.
  • [8] M. Jafari, A. Zaeim, and S. Mahdion, Scaling Symmetry and a New Conservation Law of the Harry Dym Equation, Mathematics Interdisciplinary Research, 6(2) (2021), 151-158.
  • [9] M. Jafari, A. Zaeim, and A. Tanhaeivash, Symmetry Group Analysis and Conservation Laws of the Potential Modified KdV Equation Using the Scaling Method, International Journal of Geometric Methods in Modern Physics, (2022), https://doi.org/10.1142/S0219887822500980.
  • [10] L. V. Ovsiannikov, Group Analysis of Differential Equations, Academic Press, New York, 1982.
  • [11] P. J. Olver, Applications of Lie Groups to Differential Equations, Springer, New York, 1986.
  • [12] M. Pakdemirli, M. Yurusoy, and I. T. Dolapci, Comparison of approximate symmetry methods for differential equations, Acta Applicandae Mathematicae, 80(3) (2004), 243–271.
  • [13] M. Rahimian, M. Toomanian and M. Nadjafikhah, Approximate symmetry and exact solutions of the singularly perturbed Boussinesq equation, Communications in Nonlinear Science and Numerical Simulation, 53 (2017), 1–9.
  • [14] J. Topper and T. Kawahara, Approximate equations for long nonlinear waves on a viscous fluid, J. Phys. Soc. Japan, 44 (1978), 663–666.
  • [15] A. Wazwaz, Partial Differential Equations and Solitary Waves Theory, Higher Education Press, Beijing, China, 2009.
  • [16] R. Wiltshire, Two approaches to the calculation of approximate symmetry exemplified using a system of advection- diffusion equations, Journal of Computational and Applied Mathematics, 197(2) (2006), 287–301.
آمار
تعداد مشاهده مقاله: 265
تعداد دریافت فایل اصل مقاله: 210


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب