2004•Chinese Physics LettersOpen access

Symmetries and Strong Symmetries of the (3+1)-Dimensional Burgers Equation

Lian Zeng-Ju, Lou Sen‐Yue

Abstract

The strong symmetries (recursion operators) and the inverse strong symmetries of a (3+1)-dimensional Burgers equation are given explicitly. Infinitely many symmetries of the considered model are obtained by acting the strong symmetries and the inverse strong symmetries on some seeds. An infinite-dimensional full Lie point symmetry algebra is also given.

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Key concepts: Homogeneous space, Burgers' equation, Physics, Mathematical physics, Mathematics, Quantum mechanics, Geometry, Partial differential equation