6533b82dfe1ef96bd129203e

RESEARCH PRODUCT

On new ways of group methods for reduction of evolution-type equations

Antonino MessinaAnna NapoliIvan TsyfraV. Tretynyk

subject

Exact solutionGroup (mathematics)Independent equationApplied MathematicsMathematical analysisInhomogeneous electromagnetic wave equationEuler equationsSymmetrysymbols.namesakereaction-diffusion equationsExact solutions in general relativityMaxwell's equationsSimultaneous equationsHomogeneous spacesymbolsAnalysisMathematics

description

AbstractNew exact solutions of the evolution-type equations are constructed by means of a non-point (contact) symmetries. Also we analyzed the discrete symmetries of Maxwell equations in vacuum and decoupled ones to the four independent equations that can be solved independently.

10.1016/j.jmaa.2005.03.075http://dx.doi.org/10.1016/j.jmaa.2005.03.075