Eur. Phys. J. D 28, 181-185 (2004)
https://doi.org/10.1140/epjd/e2003-00311-6

Families of matter-waves in two-component Bose-Einstein condensates

¹ Department of Mathematics and Statistics, University of Massachusetts, Amherst MA 01003-4515, USA
² Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece
³ Department of Interdisciplinary Studies, Tel Aviv University, Tel Aviv 69978, Israel
⁴ Nonlinear Dynamical Systems Group () , Department of Mathematics and Statistics, San Diego State University, San Diego CA, 92182-7720, USA

Corresponding author: ^a kevrekid@math.umass.edu

Received: 8 July 2003
Published online: 16 December 2003

Abstract

We produce several families of solutions for two-component nonlinear Schrödinger/Gross-Pitaevskii equations. These include domain walls and the first example of an antidark or gray soliton in one component, bound to a bright or dark soliton in the other. Most of these solutions are linearly stable in their entire domain of existence. Some of them are relevant to nonlinear optics, and all to Bose-Einstein condensates (BECs). In the latter context, we demonstrate robustness of the structures in the presence of parabolic and periodic potentials (corresponding, respectively, to the magnetic trap and optical lattices in BECs).