A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

Pure-quartic solitons (PQSs) with higher energy in short pulse width have been generated in
the mode-locked fiber laser recently, and soliton molecules have been found as a means to …

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

The phenomenon of Bose–Einstein condensation is a phase transition originally predicted
by Bose and Einstein in 1924. In particular, it was shown that below a critical temperature T …

Motivated by recent experimental results, we present a systematic theoretical analysis of
dark-bright-soliton interactions and multiple-dark-bright-soliton complexes in atomic two …

Motivated by recent experimental results, we study beating dark–dark (DD) solitons as a
prototypical coherent structure that emerges in two-component Bose–Einstein condensates …

Abstract The celebrated (1+ 1)-dimensional Korteweg de–Vries (KdV) equation and its (2+
1)-dimensional extension, the Kadomtsev–Petviashvili (KP) equation, are two of the most …

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 …

Abstract A (2+ 1)-dimensional new generalized Korteweg-de Vries (ngKdV) equation is
educed from a bilinear differential equation by combining the logarithmic transformation u= 2 …