Lie Point Symmetries and Travelling Wave Solutions for the Generalized Drinfeld–Sokolov System. Issue 4 (6th June 2016)

• Record Type: Journal Article
• Authors: Garrido, T. M.; Bruzón, M. S.
• Is Part Of: Journal of computational and theoretical transport. Volume 45:Issue 4(2016)
• Page Start: 290
• Page End: 298
• Publication Date: 2016-06-06
• Subjects: Generalized Drinfeld-Sokolov system -- symmetries -- sine–cosine method -- traveling wave solutions; Transport theory -- Periodicals; Statistical physics -- Periodicals; Statistical physics; Transport theory; Periodicals; 530.138
• DOI: 10.1080/23324309.2016.1164720
• Languages: English
• ISSNs: 2332-4309

Abstract

ABSTRACT: In this article, we show successful methods with a wider applicability in physics, which have been applied to make an analysis of generalized Drinfeld–Sokolov system. Lie's classical symmetries have been calculated and they have given us the Lie-group classification depending on the parameters. Moreover, for each case we have obtained their optimal system and reductions to conclude obtaining traveling wave solutions using the sine–cosine method.