A new application of k-symplectic Lie systems
arXiv:1412.5161 · doi:10.1142/S0219887815500711
Abstract
The -symplectic structures appear in the geometric study of the partial differential equations of classical field theories. Meanwhile, we present a new application of the -symplectic structures to investigate a type of systems of first-order ordinary differential equations, the -symplectic Lie systems. In particular, we analyse the properties, e.g. the superposition rules, of a new example of -symplectic Lie system which occurs in the analysis of diffusion equations.
5 pages