<p>We consider a two-dimensional Burgers system. This system can be written in a potential form. We apply Lie symmetry methods on the system and on its potential form to construct several exact solutions. Also a non-Lie ansatz is used to derive exact solutions.</p>

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Similarity Solutions of a Two-Dimensional Burgers System

  • S. Kontogiorgis,
  • C. Sophocleous

摘要

We consider a two-dimensional Burgers system. This system can be written in a potential form. We apply Lie symmetry methods on the system and on its potential form to construct several exact solutions. Also a non-Lie ansatz is used to derive exact solutions.