Symmetry in Nonlinear Mathematical Physics - 2009
Volodymyr Taranov (Institute for Nuclear Research of NASU, Kyiv, Ukraine)
Extended symmetries of the 3D kinetic electron plasma waves
Lie point symmetries as well as conditional and extended ones are obtained and discussed
for the integro differential equations of the kinetic theory of electron plasma waves.
Three dimensional in space waves and their reduction to the pure longitudinal one dimensional case
are considered. It was shown that previously obtained oscillation symmetries of pure
longitudinal waves are the conditional symmetries of the general 3D model. Maple 12
package programs are used to facilitate symmetry investigation in the 3D case.
Possible symmetry extensions and their physical reasons are considered.