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

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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    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.
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