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Rashed, Ahmed S., Mohamed, Mokhtar, Inc, Mustafa. (1403). Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model. سامانه مدیریت نشریات علمی, 12(3), 561-570. doi: 10.22034/cmde.2023.54839.2280
Ahmed S. Rashed; Mokhtar Mohamed; Mustafa Inc. "Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model". سامانه مدیریت نشریات علمی, 12, 3, 1403, 561-570. doi: 10.22034/cmde.2023.54839.2280
Rashed, Ahmed S., Mohamed, Mokhtar, Inc, Mustafa. (1403). 'Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model', سامانه مدیریت نشریات علمی, 12(3), pp. 561-570. doi: 10.22034/cmde.2023.54839.2280
Rashed, Ahmed S., Mohamed, Mokhtar, Inc, Mustafa. Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model. سامانه مدیریت نشریات علمی, 1403; 12(3): 561-570. doi: 10.22034/cmde.2023.54839.2280

Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model

Computational Methods for Differential Equations
مقاله 10، دوره 12، شماره 3، مهر 2024، صفحه 561-570    اصل مقاله (440.48 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.54839.2280
نویسندگان
Ahmed S. Rashed1؛ Mokhtar Mohamed2؛ Mustafa Inc* 3
11. Department of Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig University, Egypt. 2. Faculty of Engineering, Delta University for Science and Technology, Gamasa, Egypt.
2Faculty of Engineering, Delta University for Science and Technology, Gamasa, Egypt.
3Department of Mathematics, Firat University, 23119 Elazig, Turkiye.
چکیده
An optimal system of Lie infinitesimals has been used in an investigation to find a solution to the (2+1)-dimensional Bogoyavlensky-Konopelchenko equation (BKE). This investigation was conducted to characterize certain fantastic characteristics of plasma-particle dispersion. A careful investigation into the Lie space with an unlimited number of dimensions was carried out to locate the relevant arbitrary functions. When developing accurate solutions for the BKE, it was necessary to establish an optimum system that could be employed in single, double, and triple combination forms.There were some fantastic wave solutions developed, and these were depicted visually. The Optimal Lie system demonstrates that it can obtain many accurate solutions to evolution equations.
کلیدواژه‌ها
Evolution equations؛ BKE؛ Lie infinitesimals؛ Optimal Lie system
مراجع
  • [1] S. Yadong, Backlund transformation, lax pairs and explicit exact solutions for the shallow water waves equation, Applied Mathematics and Computation, 187 (2007), 1286-1297.
  • [2] Z. Lu¨, J. Su, and F. Xie, Construction of exact solutions to the jimbo–miwa equation through b¨acklund transformation and symbolic computation, Computers & Mathematics with Applications, 65 (2013), 648-565.
  • [3] B. Lu, Coupling b¨acklund trasnsformation of riccati equation and division theorem method for traveling wave solutions of some class of NLPDEs, Communications in Nonlinear Science and Numerical Simulation, 17 (2012), 4626-4633.
  • [4] J. M. Conde, P. R. Gordoa, and A. Pickering, A new kind of b¨acklund transformation for partial differential equations, Reports on Mathematical Physics, 70 (2012), 149-161.
  • [5] Y. Feng and H. Q. Zhang, A new auxiliary function method for solving the generalized coupled hirotasatsuma kdv system, Applied Mathematics and Computation, 200 (2008), 283-288.
  • [6] A. Bekir, Applications of the extended tanh method for coupled nonlinear evolution equations, Communications in Nonlinear Science and Numerical Simulation, 13 (2008), 1748-1757.
  • [7] S. Dubey and S. Chakraverty, Application of modified extended tanh method in solving fractional order coupled wave equations, Mathematics and Computers in Simulation, 198 (2022), 509-520.
  • [8] A. A. Mamun, S. N. Ananna, P. P. Gharami, T. An, and M. Asaduzzaman, The improved modified extended tanhfunction method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations, Results in Physics, 41 (2022), 105969.
  • [9] M. Ali, M. Alquran, and O. B. Salman, A variety of new periodic solutions to the damped (2+1)-dimensional Schrodinger equation via the novel modified rational sine-cosine functions and the extended tanh-coth expansion methods, Results in Physics, 37 (2022), 105462.
  • [10] H. A. Zedan, Blow-up the symmetry analysis for the hirota-satsuma equations, Journal of Contemporary Mathematical Analysis, 43 (2008), 108-117.
  • [11] K. Singh and R. K. Gupta, Lie symmetries and exact solutions of a new generalized hirotasatsuma coupled KdV system with variable coefficients, International Journal of Engineering Science, 44 (2006), 241-255.
  • [12] A. S. Rashed and M. M. Kassem, Hidden symmetries and exact solutions of integro-differential Jaulent-Miodek evolution equation, Applied Mathematics and Computation, 247 (2014), 1141-1155.
  • [13] S. M. Mabrouk and A. S. Rashed, Analysis of (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation via lax pair investigation and group transformation method, Computers & Mathematics with Applications, 74 (2017), 2546-2556.
  • [14] M. M. Kassem and A. S. Rashed, N-solitons and cuspon waves solutions of (2+1)-dimensional Broer-KaupKupershmidt equations via hidden symmetries of Lie optimal system, Chinese Journal of Physics, 57 (2019), 90-104.
  • [15] R. Saleh and A. S. Rashed, New exact solutions of (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation using a combination of lie symmetry and singular manifold methods, Mathematical Methods in the Applied Sciences, 43 (2020), 2045-2055.
  • [16] X. L. Yong and H. Q. Zhang,New exact solutions to the generalized coupled hirotasatsuma kdv system, Chaos, Solitons & Fractals, 26 (2005), 1105-1110.
  • [17] L. Guo, Y. Cheng, D. Mihalache, and J. He, Darboux transformation and higher-order solutions of the sasasatsuma equation, Romanian Journal of Physics, 64 (2019), 104.
  • [18] F. C. Fan and Z.G. Xu, Breather and rogue wave solutions for the generalized discrete hirota equation via darboux– b¨acklund transformation, Wave Motion, 119 (2023), 103139.
  • [19] W. K. Xie and F.C. Fan, Soliton, breather, rogue wave and continuum limit in the discrete complex modified korteweg-de vries equation by darboux-b¨acklund transformation, Journal of Mathematical Analysis and Applications, 525 (2023), 127251.
  • [20] H. C. Hu and Q. P. Liu, New darboux transformation for hirotasatsuma coupled kdv system, Chaos, Solitons & Fractals, 17 (2003), 921-928.
  • [21] D. Lu, B. Hong, and L. Tian, New explicit exact solutions for the generalized coupled hirota-satsuma kdv system, Computers and Mathematics with Applications, 53 (2007), 1181-1190.
  • [22] S. A. El-Wakil, M. A. Abdou, and A. Hendi, New periodic and soliton solutions of nonlinear evolution equations, Applied Mathematics and Computation, 197 (2008), 497-506.
  • [23] S. W. Yao, S. Behera, M. Inc, H. Rezazadeh, J. P. S. Virdi, W. Mahmoud, O. Abu Arqub, and M. S. Osman, Analytical solutions of conformable drinfel’d-Sokolov-Wilson and Boiti Leon Pempinelli equations via sine-cosine method, Results in Physics, 42 (2022), 105990.
  • [24] A. A. Soliman and M. A. Abdou, Numerical solutions of nonlinear evolution equations using variational iteration method, Journal of Computational and Applied Mathematics, 207 (2007), 111-120.
  • [25] D. D. Ganji, M. Jannatabadi, and E. Mohseni, Application of He’s variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with adm, Journal of Computational and Applied Mathematics, 207 (2007), 35-45.
  • [26] Y. Nawaz, Variational iteration method and homotopy perturbation method for fourth-order fractional integrodifferential equations, Computers & Mathematics with Applications, 61 (2011), 2330-2341.
  • [27] H. Y´epez-Mart´ınez, A. Pashrashid, J. F. G´omez-Aguilar, L. Akinyemi, and H. Rezazadeh, The novel soliton solutions for the conformable perturbed nonlinear schro¨dinger equation, Modern Physics Letters B, 36 (2022), 2150597.
  • [28] L. Akinyemi, M. S¸enol, and O. S. Iyiola, Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method, Mathematics and Computers in Simulation, 182 (2021), 211-233.
  • [29] A. Souleymanou, A. Houwe, A. H. Kara, H. Rezazadeh, L. Akinyemi, S. P. T. Mukam, S. Y. Doka, and T. B. Bouetou, Explicit exact solutions and conservation laws in a medium with competing weakly nonlocal nonlinearity and parabolic law nonlinearity, Optical and Quantum Electronics, 55 (2023), 464.
  • [30] L. Akinyemi and E. Morazara, Integrability, multi-solitons, breathers, lumps and wave interactions for generalized extended kadomtsev–petviashvili equation, Nonlinear Dynamics, 111 (2023), 4683-4707.
  • [31] A. S. Rashed and M. M. Kassem, Group analysis for natural convection from a vertical plate, Journal of Computational and Applied Mathematics, 222 (2008), 392-403.
  • [32] M. M. Kassem and A. S. Rashed, Group solution of a time dependent chemical convective process, Applied Mathematics and Computation, 215 (2009), 1671-1684.
  • [33] S. M. Mabrouk and A. S. Rashed, N-solitons, kink and periodic wave solutions for (3+1)-dimensional hirota bilinear equation using three distinct techniques, Chinese Journal of Physics, 60 (2019), 48-60.
  • [34] A. S. Rashed, Analysis of (3+1)-dimensional unsteady gas flow using optimal system of lie symmetries, Mathematics and Computers in Simulation, 156 (2019), 327-346.
  • [35] A. S. Rashed, S. M. Mabrouk, and A. M. Wazwaz, Forward scattering for non-linear wave propagation in (3 + 1)dimensional Jimbo-Miwa equation using singular manifold and group transformation methods, Waves in Random and Complex Media, 32 (2022),663-675.
  • [36] A. S. Rashed, T. Mahmoud, and M. Kassem, Analysis of homogeneous steady state nanofluid surrounding cylindrical solid pipes, Egyptian Journal for Engineering Sciences and Technology, 31 (2020), 71-82.
  • [37] A. S. Rashed, E. H. Nasr, and M. M. Kassem, Similarity analysis of mass and heat transfer of fhd steady flow of nanofluid incorporating magnetite nanoparticles (fe3o4), East African Scholars Journal of Engineering and Computer Sciences, 3 (2020), 54-63.
  • [38] A. S. Rashed, E. H. Nasr, and M. M. Kassem, Boundary layer analysis adjacent to moving heated plate inside electrically conducting fluid with heat source/sink, International Journal of Heat and Technology, 38 (2020), 682688.
  • [39] A. S. Rashed, S. M. Mabrouk, and A. M. Wazwaz, Unsteady three-dimensional laminar flow over a submerged plate in electrically conducting fluid with applied magnetic field, Waves in Random and Complex Media, (2021), 1-20.
  • [40] A. S. Rashed, T. A. Mahmoud, and M. M. Kassem, Behavior of nanofluid with variable brownian and thermal diffusion coefficients adjacent to a moving vertical plate, Journal of Applied and Computational Mechanics, 7 (2021), 1466-1479.
  • [41] A. S. Rashed, E. H. Nasr, and M. M. Kassem, Mathematical investigation for flow characteristics of laminar ferro-nanofluid incorporating cobalt ferrite nanoparticles, Journal of Nano Research, 68 (2021), 52-69.
  • [42] R. Saleh, A. S. Rashed, and A. M. Wazwaz, Plasma-waves evolution and propagation modeled by sixth order ramani and coupled ramani equations using symmetry methods, Physica Scripta, 96 (2021), 085213.
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تعداد مشاهده مقاله: 58
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