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

Document Type : Research Paper

Authors

1 Department of Management and Marketing, Faculty of Social and Economic Sciences, Urgench State University, Urgench, 220100, Uzbekistan.

2 Department of Economics and Management, Faculty of Economic and Legal Sciences Kazan Federal University, Elabuga Institute of KFU, 423604, Elabuga, Russian Federation, Republic of Tatarstan.

3 Department of Applied Mathematics, Bauman Moscow State Technical University, Russian Federation.

4 Department of Higher Mathematics, Kuban State Agrarian University named after I.T. Trubilin, Krasnodar region, 350044, Russian Federation.

5 Department of Economics and Humanities, Faculty of Higher Education Kamyshin Technological Institute (branch of) Volgograd State Technical University, Russian Federation.

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.

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Main Subjects

Computational Methods for Differential Equations
Volume 13, Issue 1
January 2025
Pages 233-248

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History

  • Receive Date: 30 January 2024
  • Revise Date: 08 February 2024
  • Accept Date: 08 February 2024

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