  The Bogomol'nyi-Prasad-Sommerfield (BPS) multiwall solutions are constructed
in a massive Kahler nonlinear sigma model on the complex quadric surface,
Q^N=SO(N+2)/[SO(N)\times SO(2)] in 3-dimensional space-time. The theory has a
non-trivial scalar potential generated by the Scherk-Schwarz dimensional
reduction from the massless nonlinear sigma model on Q^N in 4-dimensional
space-time and it gives rise to 2[N/2+1] discrete vacua. The BPS wall solutions
connecting these vacua are obtained based on the moduli matrix approach. It is
also shown that the moduli space of the BPS wall solutions is the complex
quadric surface Q^N.
