2005Communications in Theoretical PhysicsOpen access

Nonclassical Potential Symmetries and New Explicit Solutions of Burgers Equation

Maochang Qin, Mei Feng-Xiang, Xuejun Xu

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Abstract

A new method is used to determine the nonclassical potential symmetry generators of Burgers equation. Some classes of new explicit solutions, which cannot be obtained by Lie symmetry group of Burgers equation or its integrated equation, are obtained by using these new nonclassical potential symmetry generators.

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What this paper is about

A new method is used to determine the nonclassical potential symmetry generators of Burgers equation. Some classes of new explicit solutions, which cannot be obtained by Lie symmetry group of Burgers equation or its integrated equation, are obtained by using these new nonclassical potential symmetry generators.

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Available abstract

A new method is used to determine the nonclassical potential symmetry generators of Burgers equation. Some classes of new explicit solutions, which cannot be obtained by Lie symmetry group of Burgers equation or its integrated equation, are obtained by using these new nonclassical potential symmetry generators.

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

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