Some connections between classical and nonclassical symmetries of a partial differential equation and their applications
Analysis of PDEs
2020-01-07 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.2001.01155,
title = {Some connections between classical and nonclassical symmetries of a partial differential equation and their applications},
author = {Chaolu Temuer and Laga Tong and George Bluman},
journal= {arXiv preprint arXiv:2001.01155},
year = {2020}
}