We study the exact physical quantities of a competing spin chain which
contains many interesting and meaningful couplings including the nearest
neighbor, next nearest neighbor, chiral three spins, Dzyloshinsky-Moriya
interactions and unparallel boundary magnetic fields in the thermodynamic
limit. We obtain the density of zero roots, surface energies and elementary
excitations in different regimes of model parameters. Due to the competition of
various interactions, the surface energy and excited spectrum show many
different pictures from those of the Heisenberg spin chain.
