Nonclassical Potential Symmetries and New Explicit Solutions of Burgers Equation
Maochang Qin, Mei Feng-Xiang, Xuejun Xu
Abstract
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Maochang Qin, Mei Feng-Xiang, Xuejun Xu
Abstract
Open-access reader
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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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