arXiv:2001.01155 Abstract | arXiv Analytics

arXiv:2001.01155 [math.AP]Abstract References Reviews Resources

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

Published 2020-01-05Version 1

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.

Categories: math.AP, math-ph, math.MP

Keywords: partial differential equation, connections, applications, kdv-type equations, nonlinear determining equations

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