The symmetry and some exact solutions of the nonlinear many-dimensional Liouville , d ’ Alembert and eikonal equations

@inproceedings{FUSHCHYCH2003TheSA,
  title={The symmetry and some exact solutions of the nonlinear many-dimensional Liouville , d ’ Alembert and eikonal equations},
  author={W. I. FUSHCHYCH and N. I. SEROV},
  year={2003}
}
Multiparametrical exact solutions of the many-dimensional nonlinear d'Alembert, Li-ouville, sine-Gordon and eikonal equations arc obtained. The maximally extensive local invariance groups of the equations are determined and invariants of the extended Poi-ncaré group are found. 1. Introduction In 1881 Sophus Lie propounded to use the groups of continuous transformations for finding the exact solutions of partial differential equations (PDE). Later on many authors exploited Lie's ideas to study… CONTINUE READING
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