Solitons are localized wave disturbances that propagate without changing shape, a result of
a nonlinear interaction that compensates for wave packet dispersion. Individual solitons may …

Soliton molecules which are the bound states of solitons have been experimentally
discovered in optics and theoretically investigated for coupled systems. This Letter is …

We present both a theoretical description and experimental observation of the nonlinear
mutual interactions between a pair of copropagative breathers in the framework of the …

Soliton molecules have become one of the hot topics in recent years. In this article, we
investigate soliton molecules and some novel hybrid solutions for the (2+ 1)-dimensional …

We use an effective one-dimensional Gross-Pitaevskii equation to study bright matter-wave
solitons held in a tightly confining toroidal trap** potential, in a rotating frame of reference …

Bound states of solitons, alias soliton molecules (SMs), are well known in 1D systems, while
making stable bound states of multidimensional solitons is a challenging problem because …

Dipolar interactions support the formation of intersite soliton molecules in a stack of quasi-
one-dimensional (quasi-1D) traps. We show that the stability and properties of individual …

This work deals with matter-wave bright soliton molecules in spin-1 Bose–Einstein
condensates described by three-component Gross–Pitaevskii equations with non …

We numerically study the classical and quantum dynamics of an atomic bright soliton in a
highly elongated one-dimensional harmonic trap with a Gaussian barrier. In the regime of …

We study fast-moving bright solitons in the focusing nonlinear Schrödinger equation
perturbed by a narrow Gaussian potential barrier. In particular, we present a general and …