Alla VOROBYOVA and Irina YEHORCHENKO
Mykolayiv Petro Mogyla State Humanities University,
Mykolaiv, UKRAINE
   and
Institute of Mathematics of NAS of Ukraine,
3 Tereshchenkivs'ka Str.,
01601 Kyiv,
UKRAINE
E-mail: iyegorch@imath.kiev.ua

Infinite-dimensional symmetry for wave equation with additional condition

Abstract:
Symmetries for wave equation with additional conditions are found. Some conditions yield infinite-dimensional symmetry algebra for the linear equation. Ansatzes and solutions corresponding to the new symmetries were constructed.