摘要
A complete classical symmetry classification and a nonclassical symmetry classification of a class of nonlinear wave equations are given with three arbitrary parameter functions. The obtained results show that such nonlinear wave equations admit richer classical and nonclassical symmetries, leading to the conservation laws and the reduction of the wave equations. Some exact solutions of the considered wave equations for particular cases are derived.
A complete classical symmetry classification and a nonclassical symmetry classification of a class of nonlinear wave equations are given with three arbitrary parameter functions. The obtained results show that such nonlinear wave equations admit richer classical and nonclassical symmetries, leading to the conservation laws and the reduction of the wave equations. Some exact solutions of the considered wave equations for particular cases are derived.
基金
Project supported by the National Natural Science Foundation of China(Nos.11071159 and11301259)
the Shanghai Key Projects(No.12510501700)
the Scientific Research of College of Inner Mongolia(No.NJZZ14053)
the Natural Science Foundation of Inner Mongolia(Nos.2013MS0105and 2014MS0114)
