title: Vortex-soliton complexes in coupled nonlinear Schrödinger equations with unequal dispersion coefficients.
abstract: We consider a two-component, two-dimensional nonlinear Schrödinger system with unequal dispersion coefficients and self-defocusing nonlinearities, chiefly with equal strengths of the self- and cross-interactions. In this setting, a natural waveform with a nonvanishing background in one component is a vortex, which induces an effective potential well in the second component, via the nonlinear coupling of the two components. We show that the potential well may support not only the fundamental bound state, but also multiring excited radial state complexes for suitable ranges of values of the dispersion coefficient of the second component. We systematically explore the existence, stability, and nonlinear dynamics of these states. The complexes involving the excited radial states are weakly unstable, with a growth rate depending on the dispersion of the second component. Their evolution leads to transformation of the multiring complexes into stable vortex-bright solitons ones with the fundamental state in the second component. The excited states may be stabilized by a harmonic-oscillator trapping potential, as well as by unequal strengths of the self- and cross-repulsive nonlinearities.
authors.affiliation: Department of Mathematics and Statistics, University of Massachusetts Amherst, Amherst, Massachusetts 01003-4515, USA.
authors.forename: E G
authors.initials: EG
authors.lastname: Charalampidis
authors.affiliation: Department of Mathematics and Statistics, University of Massachusetts Amherst, Amherst, Massachusetts 01003-4515, USA.
authors.forename: P G
authors.initials: PG
authors.lastname: Kevrekidis
authors.affiliation: Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece.
authors.forename: D J
authors.initials: DJ
authors.lastname: Frantzeskakis
authors.affiliation: Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel and Laboratory of Nonlinear-Optical Informatics, ITMO University, St. Petersburg 197101, Russia.
authors.forename: B A
authors.initials: BA
authors.lastname: Malomed