Elliminating The Transverse Instabilities of Kerr Solitons
  We show analytically, numerically, and experimentally that a transversely stable one-dimensional [(1+1)D] bright Kerr soliton can exist in a 3D bulk medium. The transverse instability of the soliton is completely eliminated if it is made sufficiently incoherent along the transverse dimension. We derive a criterion for the threshold of transverse instability that links the nonlinearity to the largest transverse correlation distance for which the 1D soliton is stable 
C. Anastassiou, M. Soljscic, M. Segev, D. Kip, E. Eugenieva, D.N.   Christodoulides, Z.H. Musslimani, and J.P. Torres