Hung, Nguyen VietMatuszewski, MichalTrippenbach, Marek2015-12-100167-2789http://hdl.handle.net/1885/52721We consider soliton solutions of a two-dimensional nonlinear system with the self-focusing nonlinearity and a quasi 1D confining potential, taking harmonic potential as an example. We investigate a single soliton in detail and find criterion for possibleKeywords: Accurate prediction; Elastic collision; Harmonic potential; Matter wave solitons; Non-Linearity; Nonlinear interactions; Nonlinear matter waves; Quasi-one-dimensional; Self-focusing; Single soliton; Soliton collisions; Soliton solutions; Variational analy Nonlinear matter waves; Soliton collisions; Solitons200910.1016/j.physd.2008.07.0232016-02-24