Nonclassical Potential Symmetries and New Explicit Solutions of Burgers Equation
QINMao-Chang, Mei-Feng-Xiang, XUXue-Jun
Abstract
QINMao-Chang, Mei-Feng-Xiang, XUXue-Jun
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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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, Mathematics, Mathematical physics, Mathematical analysis, Partial differential equation