2005•Zeitschrift für Naturforschung AOpen access

Nonclassical Potential Symmetries and New Explicit Solutions of the Burgers Equation

Maochang Qin, Fengxiang Mei, Xuejun Xu

Abstract

Several new nonclassical potential symmetry generators to the Burgers equation are derived. Some explicit solutions, which cannot be derived from the Lie symmetry group of Burgers or its adjoined equation, are obtained by using these nonclassical potential symmetry generators.

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Key concepts: Burgers' equation, Homogeneous space, Symmetry (geometry), Symmetry group, Mathematics, Mathematical physics, Physics, Mathematical analysis