Lie Point Symmetries and Travelling Wave Solutions for the Generalized Drinfeld–Sokolov System

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.

KEYWORDS:

• Generalized Drinfeld-Sokolov system
• symmetries
• sine–cosine method
• traveling wave solutions