We demonstrate a peculiar mechanism for the formation of bound states of light pulses of
substantially different optical frequencies, in which pulses are strongly bound across a vast …

Bound states of optical solitons represent ideal candidates to investigate fundamental
nonlinear wave interaction principles and have been shown to exhibit intriguing analogies to …

The travelling wave solutions of the generalized Konopelchenko–Dubrovsky–Kaup–
Kupershmidt (gKDKK) equation are revisited by means of a novel method related to the …

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 present a comprehensive analysis of the form and interaction of dipolar bright solitons
across the full parameter space afforded by dipolar Bose–Einstein condensates, revealing …

The real modified Korteweg–de Vries equation governs the modulation of weakly nonlinear
waves. We first review the multiple soliton solutions to the mKdV equation by means of the …

We propose a comprehensive analysis of the modulational instability (MI) phenomenon in
one-dimensional Bose-Einstein condensate (BEC) in the context of mutually symmetric …

We propose a physical scheme to study the formation of optical soliton molecules (SMs),
consisting of two solitons bound together with a π-phase difference, and the scattering of …

In this paper, the dynamical behaviors of transformed nonlinear waves for the (2+ 1)-
dimensional combined potential Kadomtsev-Petviashvili and B-type Kadomtsev-Petviashvili …

Under investigation in this paper are new novel coherent structures of two-dimensional lump-
soliton for the Mel'nikov equation. The Hirota bilinear method and Kadomtsev–Petviashvili …