University of Tabriz Computational Methods for Differential Equations 2345-3982 10 4 2022 10 01 Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method 1086 1096 14157 10.22034/cmde.2022.47018.1972 EN Sahba Heydary Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 16765–3381, Tehran, Iran. Azim Aminataei Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 16765–3381, Tehran, Iran. Journal Article 2021 07 17 In this article, we use the Haar wavelets (HWs) method to numerically solve the nonlinear Drinfel’d–Sokolov (DS) system. For this purpose, we use an approximation of functions with the help of HWs, and we approximate spatial derivatives using this method. In this regard, to linearize the nonlinear terms of the equations, we use the quasilinearization technique. At the end, to show the effectiveness and accuracy of the method in solving this system one numerical example is provided.  https://cmde.tabrizu.ac.ir/article_14157_7bc257a38e0586735e7bbd23f7d05ee2.pdf