A finite-width laser pulse of high intensity propagating in an underde
nse plasma excites a transversely inhomogeneous, finite amplitude wake
field. This wake wave undergoes a transverse wave breaking due to the
increase of the wake front curvature, followed by the self-intersectio
n of electron trajectories. Transverse break occurs at much lower wave
amplitudes than the conventional one-dimensional wave break. The resu
lting structures have generic forms that can be described by modified
curves parallel to a parabola. Simulations with the particle-in-cell e
lectromagnetic relativistic code VLPLZD show such structures appearing
.