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

 آمار

تعداد نشریات44
تعداد شماره‌ها1,353
تعداد مقالات16,546
تعداد مشاهده مقاله53,673,324
تعداد دریافت فایل اصل مقاله16,145,776
Mabrouk, Samah, Mahdy, Mahy, Rashed, Ahmed, Saleh, Rasha. (1403). Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation. سامانه مدیریت نشریات علمی, 13(2), 646-658. doi: 10.22034/cmde.2024.60655.2599
Samah Mabrouk; Mahy Mahdy; Ahmed Rashed; Rasha Saleh. "Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation". سامانه مدیریت نشریات علمی, 13, 2, 1403, 646-658. doi: 10.22034/cmde.2024.60655.2599
Mabrouk, Samah, Mahdy, Mahy, Rashed, Ahmed, Saleh, Rasha. (1403). 'Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation', سامانه مدیریت نشریات علمی, 13(2), pp. 646-658. doi: 10.22034/cmde.2024.60655.2599
Mabrouk, Samah, Mahdy, Mahy, Rashed, Ahmed, Saleh, Rasha. Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation. سامانه مدیریت نشریات علمی, 1403; 13(2): 646-658. doi: 10.22034/cmde.2024.60655.2599

Exploring high-frequency waves and soliton solutions of fluid turbulence through relaxation medium modeled by Vakhnenko-Parkes equation

Computational Methods for Differential Equations
مقاله 21، دوره 13، شماره 2، خرداد 2025، صفحه 646-658    اصل مقاله (607.79 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60655.2599
نویسندگان
Samah Mabrouk1؛ Mahy Mahdy1؛ Ahmed Rashed* 2؛ Rasha Saleh1
1Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Egypt.
21. Department of Physics and Engineering Mathematics Department, Faculty of Engineering, Zagazig University, Egypt.\\ 2. Basic Science Department, Faculty of Engineering, Delta University for Science and Technology, Gamasa, 11152, Egypt.
چکیده
One of the most important natural phenomena that has been studied extensively in engineering, oceanography,
meteorology, and other fields is called fluid turbulence (FT). FT stands for irregular flow of fluid. Scientists detected models to describe this phenomenon, among these models is the (3+1)-dimensional Vakhnenko-Parkes (VP) equation. In this research, the high-frequency waves’ dynamical behavior through the relaxation medium is explored by considering two semi-analytic methods, the $(G^'/G)$ and the tanh-coth (TC) expansion methods. Nineteen different solutions have been detected and some of these solutions have been illustrated graphically. Figures show a range of degenerate, periodic, and complex propagating soliton wave solutions. 
کلیدواژه‌ها
(G'/G)-expansion method؛ Tanh-coth method؛ Vakhnenko-Parkes equation؛ Fluid turbulence؛ Nonlinear partial differential equations
مراجع
  • [1] T. Aktosun and M. Unlu, A generalized method for the darboux transformation, Journal of Mathematical Physics 63 (2022), 103501.
  • [2] M. Ali, M. A. Khattab, and S. Mabrouk, Investigation of travelling wave solutions for the (3 + 1)-dimensional hyperbolic nonlinear schrödinger equation using riccati equation and f-expansion techniques, Optical and Quantum Electronics, 55 (2023), 991.
  • [3] M. Ali, M. A. Khattab, and S. Mabrouk, Travelling wave solution for the landau-ginburg-higgs model via the inverse scattering transformation method, Nonlinear Dynamics, 111 (2023), 7687–7697.
  • [4] S. Demiray, Ö. Ünsal, and A. Bekir, Exact solutions of nonlinear wave equations using (G’/G,1/G)-expansion method, Journal of the Egyptian Mathematical Society, 23(1) (2015), 78-84.
  • [5] M. K. Elboree, The jacobi elliptic function method and its application for two component bkp hierarchy equations, Computers & Mathematics with Applications, 62(12) (2011), 4402-4414.
  • [6] K. A. Gepreel and S. Omran, Exact solutions for nonlinear partial fractional differential equations, Chinese Physics B, 21(11) (2012), 110204.
  • [7] O. F. Gözükızıl, and S¸. Akçağıl,¨ The tanh-coth method for some nonlinear pseudoparabolic equations with exact solutions, Advances in Difference Equations, 2013(143) (2013), 1-18.
  • [8] M. M. A. Khater, S. Muhammad, A. Al-Ghamdi, and M. Higazy, Novel soliton wave solutions of the vakhnenko–parkes equation arising in the relaxation medium, Journal of Ocean Engineering and Science, (2022).
  • [9] K. Khan and P. M. A. Akbar, The exp(−φ(ξ))−expansion method for finding traveling wave solutions of vakhnenko-parkes equation, International Journal of Dynamical Systems and Differential Equations, 5(1) (2014), 72-83.
  • [10] S. Kumar, Painlev´e analysis and invariant solutions of Vakhnenko–Parkes (VP) equation with power law nonlinearity, Nonlinear Dynamics, 85 (2016), 1275–1279.
  • [11] S. Kumar and N. Mann, Abundant closed-form solutions of the (3+ 1)-dimensional Vakhnenko-Parkes equation describing the dynamics of various solitary waves in ocean engineering, Journal of Ocean Engineering and Science, (2022).
  • [12] V. Kuetche Kamgang, T. Bouetou Bouetou, and K. Timoleon Crepin, On high-frequency soliton solutions to a (2+1)-dimensional nonlinear partial differential evolution equation, Chinese Physics Letters, 25(2) (2008), 425.
  • [13] S. Mabrouk and A. Rashed, On the G′/G expansion method applied to (2+1)-dimensional asymmetric-NizhnikNovikov-Veselov equation, Journal of Advances in Applied & Computational Mathematics, 10 (2023), 39-49.
  • [14] S. M. Mabrouk, A. M. Wazwaz, and A. S. Rashed, Monitoring dynamical behavior and optical solutions of spacetime fractional order double-chain deoxyribonucleic acid model considering the atangana’s conformable derivative, Journal of Applied and Computational Mechanics, 10(2) (2024), 383-391.
  • [15] S. M. Mabrouk, H. Rezazadeh, H. Ahmad, A. S. Rashed, U. Demirbilek, and K. A. Gepreel, Implementation of optical soliton behavior of the space–time conformable fractional Vakhnenko–Parkes equation and its modified model, Optical and Quantum Electronics, 56(2) (2024), 222.
  • [16] M. Mohamed, S. M. Mabrouk, and A. S. Rashed, Mathematical investigation of the infection dynamics of covid-19 using the fractional differential quadrature method, Computation, 11(10) (2023),198.
  • [17] N. A. Mohamed, A. S. Rashed, A. Melaibari, H. M. Sedighi, and M. A. Eltaher, Effective numerical technique applied for Burgers’ equation of (1+1)-, (2+1)-dimensional, and coupled forms, Mathematical Methods in the Applied Sciences, 44(13) (2021), 10135-10153.
  • [18] A. S. Rashed, M. Inc, and R. Saleh, Extensive novel waves evolution of three-dimensional yu–toda–sasa–fukuyama equation compatible with plasma and electromagnetic applications, Modern Physics Letters B,37(1) (2023), 2250195.
  • [19] A. S. Rashed, A. N. M. Mostafa, A. M. Wazwaz, and S. M. Mabrouk, Dynamical behavior and soliton solutions of the Jumarie’s space-time fractional modified Benjamin-Bona-Mahony equation in plasma physics, Romanian Reports in Physics, 75 (2023), 104.
  • [20] A. S. Rashed, A. N. M. Mostafa, and S. M. Mabrouk, Abundant families of solutions for (4+1)-dimensional Fokas fractional differential equation using new sub-equation method, Scientific African, 23 (2024), e02107.
  • [21] H. O. Roshid, M. R. Kabir, R. C. Bhowmik, and B. K. Datta, Investigation of solitary wave solutions for Vakhnenko-Parkes equation via exp-function and exp (−φ(ξ))−expansion method, SpringerPlus, 3(1) (2014), 692.
  • [22] Y. Sağlam Ozkan, A. R. Seadawyö, and E. Yaşar, Multi-wave, breather and interaction solutions to (3+1) dimensional Vakhnenko–Parkes equation arising at propagation of high-frequency waves in a relaxing medium, Journal of Taibah University for Science, 15(1) (2021), 666-678.
  • [23] N. Shang and B. Zheng, Exact solutions for three fractional partial differential equations by the (G’/G) method, International Journal of Applied Mathemaics, 43(3) (2013), 114-119.
  • [24] V. Vakhnenko, Solitons in a nonlinear model medium, Journal of Physics A: Mathematical and General, 25(15) (1992), 4181.
  • [25] A. M. Wazwaz, Multiple-soliton solutions for the KP equation by hirota’s bilinear method and by the tanh–coth method, Applied Mathematics and Computation, 190(1) (2007), 633-640.
  • [26] A. M. Wazwaz, The integrable Vakhnenko–Parkes (vp) and the modified Vakhnenko–Parkes (mVP) equations: Multiple real and complex soliton solutions, Chinese Journal of Physics, 57 (2019), 375-381.
  • [27] A. Yusuf, T. A. Sulaiman, A. Abdeljabbar, and M. Alquran, Breather waves, analytical solutions and conservation laws using lie–bäcklund symmetries to the (2+1)-dimensional chaffee–infante equation, Journal of Ocean Engineering and Science, 8(2) (2023), 145-151.
  • [28] L. Zhang, C. Li, and H. Wang, Backlund transformations of multi-component boussinesq and degasperis-procesi equations, International Journal of Geometric Methods in Modern Physics, 21(3) (2024), 2450066.
 

آمار
تعداد مشاهده مقاله: 118
تعداد دریافت فایل اصل مقاله: 218


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب