%0 Journal Article
%T SOLITON SOLUTIONS TO THE DS AND GENERALIZED DS SYSTEM VIA AN ANALYTICAL METHOD
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Abdullayev, Ilyos Sultanovich
%A Akhmetshin, Elvir Munirovich
%A Krasnovskiy, Evgeny Efimovich
%A Tuguz, Nalbiy Salikhovich
%A Mashentseva, Galina
%D 2024
%\ 04/24/2024
%V
%N
%P -
%! SOLITON SOLUTIONS TO THE DS AND GENERALIZED DS SYSTEM VIA AN ANALYTICAL METHOD
%K Exp-function method
%K Nonlinear partial differential equation
%K Drinfeld-Sokolov system
%K Solitons and periodic structures
%K Traveling wave solution
%R 10.22034/cmde.2024.60337.2576
%X 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 travelling 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
%U https://cmde.tabrizu.ac.ir/article_17834_9e559068200fae6d5c5cdb60d2559218.pdf