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.

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