SearcharxivSearch

arXiv subjects

P. Yu. Tsyba

Publications and source records attributed to P. Yu. Tsyba.

2 recordsLinked to original sources

Accelerated expansion of the Universe driven by G-essence

In the present work we analyze the g-essence model for the particular Lagrangian: $L=R+2[αX^n+εY-V(ψ,\barψ)]$. The g-essence models were proposed recently as an alternative and as a generalization to the scalar k-essence. We have presented the 3 types solutions of the g-essence model. We reconstructed the corresponding potentials and the dynamics of the scalar and fermionic fields according the evolution of the scale factor. The obtained results shows that the g-essence model can describes the decelerated and accelerated expansion phases of the universe.

astro-ph.CO

On the Integrable Generalization of the 1D Toda Lattice

A generalized Toda Lattice equation is considered. The associated linear problem (Lax representation) is found. For simple case N=3 the $τ$-function Hirota form is presented that allows to construct an exast solutions of the equations of the 1DGTL. The corresponding hierarchy and its relations with the nonlinear Schrodinger equation and Hersenberg ferromagnetic equation are discussed.

math-ph