The dynamic characteristics of pure-quartic solitons and soliton molecules
X Liu, H Zhang, W Liu - Applied Mathematical Modelling, 2022 - Elsevier
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 …
the mode-locked fiber laser recently, and soliton molecules have been found as a means to …
Soliton Molecules and Some Novel Types of Hybrid Solutions to (2+ 1)‐Dimensional Variable‐Coefficient Caudrey‐Dodd‐Gibbon‐Kotera‐Sawada Equation
S Yang, Z Zhang, B Li - Advances in Mathematical Physics, 2020 - Wiley Online Library
Soliton molecules of the (2+ 1)‐dimensional variable‐coefficient Caudrey‐Dodd‐Gibbon‐
Kotera‐Sawada equation are derived by N‐soliton solutions and a new velocity resonance …
Kotera‐Sawada equation are derived by N‐soliton solutions and a new velocity resonance …
Soliton molecules for combined mKdV-type bilinear equation
ZX Zhao, LW Zhang, W Yang… - … in Theoretical Physics, 2023 - iopscience.iop.org
Starting from the multi-soliton solutions obtained by the Hirota bilinear method, the soliton
molecule structures for the combined mKdV-type bilinear equation $({D} _ {t}+{\sum} _ {n …
molecule structures for the combined mKdV-type bilinear equation $({D} _ {t}+{\sum} _ {n …
Scattering of one-dimensional quantum droplets by a reflectionless potential well
We investigate both analytically and numerically the scattering of one-dimensional quantum
droplets by a Pöschl-Teller reflectionless potential well, confirming that there is a sharp …
droplets by a Pöschl-Teller reflectionless potential well, confirming that there is a sharp …
Scattering of a two-soliton molecule by Gaussian potentials in dipolar Bose–Einstein condensates
BA Umarov, NAB Aklan, BB Baizakov… - Journal of Physics B …, 2016 - iopscience.iop.org
Two bright solitons in a dipolar Bose–Einstein condensate (BEC) can form stable bound
states, known as soliton molecules. In this paper we study the scattering of a two-soliton …
states, known as soliton molecules. In this paper we study the scattering of a two-soliton …
Soliton molecules and their scattering by a localized P T-symmetric potential in atomic gases
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 …
consisting of two solitons bound together with a π-phase difference, and the scattering of …
A unified model for an external trap in a cigar-shaped Bose–Einstein condensate
In recent years, the study of cigar shaped Bose–Einstein condensate (BEC) under a variety
of external confinements has attracted a great deal of attention, from both theoretical and …
of external confinements has attracted a great deal of attention, from both theoretical and …
Soliton Molecules and Full Symmetry Groups to the KdV‐Sawada‐Kotera‐Ramani Equation
N Xiong, YX Yu, B Li - Advances in Mathematical Physics, 2021 - Wiley Online Library
By N‐soliton solutions and a velocity resonance mechanism, soliton molecules are
constructed for the KdV‐Sawada‐Kotera‐Ramani (KSKR) equation, which is used to …
constructed for the KdV‐Sawada‐Kotera‐Ramani (KSKR) equation, which is used to …
Variational analysis of soliton scattering by external potentials
BA Umarov, A Messikh, N Regaa… - Journal of Physics …, 2013 - iopscience.iop.org
Dynamics of the width and center-of-mass position of a matter wave soliton subject to
interaction with arbitrary external potential is analyzed using the collective coordinates …
interaction with arbitrary external potential is analyzed using the collective coordinates …
Interaction of discrete nonlinear Schrödinger solitons with a linear lattice impurity
The interaction of moving discrete solitons with a linear Gaussian defect is investigated.
Solitons with profiles varying from hyperbolic secant to exponentially localized are …
Solitons with profiles varying from hyperbolic secant to exponentially localized are …