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Abdullayev, Ilyos, Akhmetshin, Elvir, Krasnovskiy, Evgeny, Tuguz, Nalbiy, Mashentseva, Galina. (1403). Soliton solutions to the DS and generalized DS system via an analytical method. سامانه مدیریت نشریات علمی, 13(1), 233-248. doi: 10.22034/cmde.2024.60337.2576
Ilyos Sultanovich Abdullayev; Elvir Munirovich Akhmetshin; Evgeny Efimovich Krasnovskiy; Nalbiy Salikhovich Tuguz; Galina Mashentseva. "Soliton solutions to the DS and generalized DS system via an analytical method". سامانه مدیریت نشریات علمی, 13, 1, 1403, 233-248. doi: 10.22034/cmde.2024.60337.2576
Abdullayev, Ilyos, Akhmetshin, Elvir, Krasnovskiy, Evgeny, Tuguz, Nalbiy, Mashentseva, Galina. (1403). 'Soliton solutions to the DS and generalized DS system via an analytical method', سامانه مدیریت نشریات علمی, 13(1), pp. 233-248. doi: 10.22034/cmde.2024.60337.2576
Abdullayev, Ilyos, Akhmetshin, Elvir, Krasnovskiy, Evgeny, Tuguz, Nalbiy, Mashentseva, Galina. Soliton solutions to the DS and generalized DS system via an analytical method. سامانه مدیریت نشریات علمی, 1403; 13(1): 233-248. doi: 10.22034/cmde.2024.60337.2576

Soliton solutions to the DS and generalized DS system via an analytical method

Computational Methods for Differential Equations
مقاله 17، دوره 13، شماره 1، فروردین 2025، صفحه 233-248    اصل مقاله (1.18 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.60337.2576
نویسندگان
Ilyos Sultanovich Abdullayev* 1؛ Elvir Munirovich Akhmetshin2؛ Evgeny Efimovich Krasnovskiy3؛ Nalbiy Salikhovich Tuguz4؛ Galina Mashentseva5
1Department of Management and Marketing, Faculty of Social and Economic Sciences, Urgench State University, Urgench, 220100, Uzbekistan.
2Department of Economics and Management, Faculty of Economic and Legal Sciences Kazan Federal University, Elabuga Institute of KFU, 423604, Elabuga, Russian Federation, Republic of Tatarstan.
3Department of Applied Mathematics, Bauman Moscow State Technical University, Russian Federation.
4Department of Higher Mathematics, Kuban State Agrarian University named after I.T. Trubilin, Krasnodar region, 350044, Russian Federation.
5Department of Economics and Humanities, Faculty of Higher Education Kamyshin Technological Institute (branch of) Volgograd State Technical University, Russian Federation.
چکیده
In this article, the exact solutions for nonlinear Drinfeld-Sokolov (DS) and generalized Drinfeld-Sokolov (gDS) equations are established. The rational Exp-function method (EFM) is used to construct solitary and soliton solutions of nonlinear evolution equations. This method is developed for searching exact traveling wave solutions of nonlinear partial differential equations. Also, exact solutions with solitons and periodic structures are obtained. The obtained results are not only presented numerically but are also accompanied by insightful physical interpretations, enhancing the understanding of the complex dynamics described by these mathematical models. The utilization of the rational EFM and the broad spectrum of obtained solutions contribute to the depth and significance of this research in the field of nonlinear wave equations.
کلیدواژه‌ها
Exp–function method؛ Nonlinear partial differential equation؛ Drinfeld-Sokolov system؛ Generalized Drinfeld-Sokolov؛ Solitons and periodic structures؛ Traveling wave solution
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