We study the existence, formation, and stability of quasi-one-dimensional (stripes) and two-dimensional (bullets) spatio-temporal soliton solutions for a (2+1)-dimensional modified nonlinear Schrödinger equation, in the presence of the self-steepening effect. These solutions, which are on top of a continuous-wave background, are either dark or antidark, the latter being supported by the self-steepening effect. We show that there exist stable small-amplitude lump solitons, which, in the context of nonlinear optics, constitute novel light bullets.
© 2001 Optical Society of America
C. Polymilis, D. J. Frantzeskakis, A. N. Yannacopoulos, K. Hizanidis, and G. Rowlands, "Optical stripes and bullets for a modified nonlinear Schrödinger equation," J. Opt. Soc. Am. B 18, 75-80 (2001)