2020/01/04 by Chaolu Temuer, Temuer, Chaolu, Laga Tong +3
Chemistry · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Burgers' equation #Class (philosophy) #Computer science #Differential algebraic equation #Differential equation #FOS: Mathematics #FOS: Physical sciences #First-order partial differential equation #Geometry #Homogeneous space #Korteweg–de Vries equation #Mathematical Physics (math-ph) #Mathematical analysis #Mathematical physics #Mathematics #Molecular spectroscopy and chirality #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Ordinary differential equation #Partial differential equation #Physics #Pure mathematics #Quantum mechanics #Separable partial differential equation #Symmetry (geometry) #Type (biology) #math-ph #math.AP #math.MP
paper · pdf · doi:10.48550/arxiv.2001.01155
published in arXiv (Cornell University) (Cornell University)
arxiv created 2020/01/05 · arxiv updated 2020/01/07
Some connections between classical and nonclassical symmetries of a partial\ndifferential equation (PDE) are given in terms of determining equations of the\ntwo symmetries. These connections provide additional information for\ndetermining nonclassical symmetry of a PDE and make it easier to solve the\nsystem of nonlinear determining equations. As example, new nonclassical\nsymmetries are exhibited for a class of generalized Burgers equation and\nKdV-type equations are given.\n