2017
DOI: 10.1002/mma.4659
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Lie symmetry analysis of Burgers‐type systems

Abstract: Lie group classification for 2 Burgers‐type systems is obtained. Systems contain 2 arbitrary elements that depend on the 2 dependent variables. Equivalence transformations for the systems are derived. Examples of nonclassical reductions are given. A Hopf‐Cole–type mapping that linearizes a nonlinear system is presented.

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Cited by 4 publications
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“…The theory of Lie symmetries was first initiated by Sophus Lie . Consequently, several generalizations of classical symmetry method including nonclassical method for various differential equations are developed. In this context, we indicate that Lie symmetry named as nonlocal symmetry is a very useful tool.…”
Section: Introductionmentioning
confidence: 99%
“…The theory of Lie symmetries was first initiated by Sophus Lie . Consequently, several generalizations of classical symmetry method including nonclassical method for various differential equations are developed. In this context, we indicate that Lie symmetry named as nonlocal symmetry is a very useful tool.…”
Section: Introductionmentioning
confidence: 99%