  We study a GKP-like classical string solution on a q-deformed AdS_5 x S^5
background and argue the spacetime structure by using it as a probe. The
solution cannot stretch beyond the singularity surface and this result may
suggest that the holographic relation is realized inside the singularity
surface. This observation leads us to introduce a new coordinate system which
describes the spacetime only inside the singularity surface. With the new
coordinate system, we study minimal surfaces and derive a deformed
Neumann-Rosochatius system with a rigid string ansatz.
