On cyclic symmetries of n-dimensional nonlinear wave equations
Date
2000Source
Journal of Physics A: Mathematical and GeneralVolume
33Issue
46Pages
8319-8330Google Scholar check
Metadata
Show full item recordAbstract
We consider the three n-dimensional nonlinear wave equations utt = k=1∑n[Fk(u)uxk]xk utt = k=1∑nFk(uxk)uxkxk and utt = k=1∑nFk(uxkxk). We also consider a special class of point transformations. Motivated by the results on the corresponding one-dimensional equations we present a class of discrete symmetries for these equations. In some cases these discrete symmetries form cyclic groups of finite order. Furthermore, point transformations exist that relate different equations but of the same class. The equivalence point transformations for each of the above general equations are presented.