پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 41 |
| تعداد شماره‌ها | 1,114 |
| تعداد مقالات | 9,532 |
| تعداد مشاهده مقاله | 17,206,073 |
| تعداد دریافت فایل اصل مقاله | 12,040,579 |
New Soliton Solutions to the Coupled Conformable Time-Fractional Boussinesq Equation | ||
| Control and Optimization in Applied Mathematics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 شهریور 1403 اصل مقاله (478.68 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2024.71509.1256 | ||
| نویسنده | ||
| Ahmad Sharif* | ||
| Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran. | ||
| چکیده | ||
| In this study, we explore soliton solutions for the conformable time-fractional Boussinesq equation utilizing the three-wave method. To validate the precision of our findings, we discuss specific special cases by adjusting certain potential parameters and also present the graphical representations of our results. The results achieved in this research align closely with those from previous studies, demonstrating enhanced accuracy and simplicity. Given the extensive applications of this equation in particle physics, understanding its dynamics is crucial. Consequently, employing methods that encompass a broad spectrum of solutions is imperative. The versatility of this method in yielding diverse solutions is evident in the results we have obtained. The solutions derived in this paper are novel and offer greater precision compared to previous works. | ||
| کلیدواژه‌ها | ||
| Soliton solutions؛ Coupled fractional Boussinesq equation؛ Three wave method | ||
| مراجع | ||
|
[1] Abdeljawad, T. (2015). “On conformable fractional calculus”, Journal of Computational and Applied Mathematics, 279(1), 57-66.
[2] Ege, S.M., Misirli, E.(2014).“The modified Kudryashov method for solving some fractional-order nonlinear equations”, Advances in Difference Equations, 1, 1-3.
[3] Hamidi, M., Norouzi, K., Rezaei, A. (2021). “On grey graphs and their applications in optimization”, Control and Optimization in Applied Mathematics journal, 6(2), 79-96.
[4] Hosseini, K., Ayati, Z., Ansari, R. (2017). “New exact traveling wave solutions of the Tzitzéica type equations using a novel exponential rational function method”, Optik, 148, 85-89.
[5] Kumar, S., Kumar, A. (2019). “Lie symmetry reductions and group invariant solutions of (2+1)- dimensional modified Veronese web equation”, Nonlinear Dyn, 98(3), 1891-1903.
[6] Liu, J.G., He, Y. (2018). “Abundant lump and lump-kink solutions for the new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation”, Nonlinear Dyn, 92(3), 1103-1108.
[7] Liu, J.G., Eslami, M., Rezazadeh, H., Mirzazadeh, M. (2019). “Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev–Petviashvili equation”, Nonlinear Dyn, 95, 1027-1033.
[8] Liu, J.G., Zhu, W.H., Zhou, L., Xiong, Y.K.(2019). “Multi-waves, breather wave and lump-stripe interaction solutions in a (2+1)-dimensional variable-coefficient Korteweg–de Vries equation”, Nonlinear Dyn, 97, 2127-2134.
[9] Ma, Y.L. (2019). “Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers”, Nonlinear Dyn, 97, 95-105.
[10] Mostafa, M.A., Dipankar, K. (2017). “New exact solutions for the time fractional coupled Boussinesq–Burgerequationandapproximatelongwaterwaveequationinshallowwater”, Journal of Ocean Engineering and Science, 2(3), 223-228.
[11] Rezazadeh, H., Mirzazadeh, M., Mirhosseini-Alizamini, S.M., Neirameh, A. (2019). “Optical solitons of lakshmanan porsezianâ daniel model with a couple of nonlinearities”, Optik, 164, 414-423.
[12] Rezazadeh, H., Kumar, D., Neirameh, A., Eslami, M., Mirzazadeh, M. (2018). “Applications of three methods for obtaining optical soliton solutions for the Lakshmanan Porsezian Daniel model with Kerr law nonlinearity”, Pramana, 94(1), 1-11.
[13] Rezazadeh, H., Neirameh, A., Eslami, M., Bekir,A., Korkmaz, A.(2019).“Asub-equation method for solving the cubicâquartic NLSE with the Kerr law nonlinearity”, Modern Physics Letters, B. 33(18), 1950197.
[14] Sajad, S., Freydoon, R., Mostafa, T.(2023). “The smallest number of colors needed for a coloring of the square of the cartesian product of certain graphs”, Control and Optimization in Applied Mathematics journal, 8(1), 83-93.
[15] Zhao, D. (2020). “On two new types of modified short pulse equation”, Nonlinear Dyn, 100, 615-627. | ||
|
آمار تعداد مشاهده مقاله: 15 تعداد دریافت فایل اصل مقاله: 39 |
||