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Some connections between classical and nonclassical symmetries of a partial differential equation and their applications

Some connections between classical and nonclassical symmetries of a partial differential equation (PDE) are given in terms of determining equations of the two symmetries. These connections provide additional information for determining nonclassical symmetry of a PDE and make it easier to solve the system of nonlinear determining equations. As example, new nonclassical symmetries are exhibited for a class of generalized Burgers equation and KdV-type equations are given.

preprint2020arXivOpen access
Chaolu TemuerLaga TongGeorge Bluman
math.APmath-phmath.MP
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Chaolu TemuerLaga TongGeorge Bluman

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