B. Ilan

Learn More
We consider a class of nonlinear Schrödinger/Gross–Pitaevskii (NLS/GP) equations with periodic potentials having an even symmetry. We construct " solitons, " centered about any point of symmetry of the potential. For focusing (attractive) nonlinearities, these solutions bifurcate from the zero state at the lowest band-edge frequency into the semi-infinite(More)
The nature of transverse instabilities of dark solitons for the (2+1)-dimensional defo-cusing nonlinear Schrödinger/Gross–Pitaevski ˘ i (NLS/GP) equation is considered. Special attention is given to the small (shallow) amplitude regime, which limits to the Kadomtsev–Petviashvili (KP) equation. We study analytically and numerically the eigenvalues of the(More)
  • 1