Title of article :
Soliton solutions to the DS and generalized DS system via an analytical method
Author/Authors :
Abdullayev ، Ilyos Sultanovich Department of Management and Marketing - Faculty of Social and Economic Sciences - Urgench State University , Akhmetshin ، Elvir Munirovich Department of Economics and Management, Elabuga - Elabuga Institute of KFU, Faculty of Economic and Legal Sciences - Kazan Federal University , Krasnovskiy ، Evgeny Efimovich Department of Applied Mathematics - Bauman Moscow State Technical University , Tuguz ، Nalbiy Salikhovich Department of Higher Mathematics - Kuban State Agrarian University named after I.T. Trubilin , Mashentseva ، Galina Department of Economics and Humanities - Faculty of Higher Education, Kamyshin Technological Institute - Volgograd State Technical University
Abstract :
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.
Keywords :
Exp–function method , Nonlinear partial differential equation , Drinfeld , Sokolov system , Generalized Drinfeld , Sokolov , Solitons and periodic structures , Traveling wave solution
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
