Towards a gauge-equivalent magnetic structure of the nonlocal nonlinear Schrödinger equation

TA Gadzhimuradov, AM Agalarov - Physical Review A, 2016 - APS
It is shown that the nonlocal nonlinear Schrödinger equation recently proposed by Ablowitz
and Musslimani [Phys. Rev. Lett. 110, 064105 (2013) PRLTAO 0031-9007 …

Conservation laws, Darboux transformation and localized waves for the N-coupled nonautonomous Gross–Pitaevskii equations in the Bose–Einstein condensates

SX Yang, YF Wang, X Zhang - Chaos, Solitons & Fractals, 2023 - Elsevier
Under investigation in this paper is the N-coupled nonautonomous Gross–Pitaevskii
equations, which describe the dynamics of the Bose–Einstein condensates. Based on the …

[HTML][HTML] Baseband modulational instability and dynamics of rogue waves in coherently coupled Bose–Einstein condensates

E Kengne - Physics Letters A, 2023 - Elsevier
We consider coupled dimensionless Gross-Pitaevskii (GP) equations that describes effective
coherently coupled Bose–Einstein condensates (BECs) trapped in external complex …

Rogue waves in ultracold bosonic seas

EG Charalampidis, J Cuevas-Maraver… - arXiv preprint arXiv …, 2016 - arxiv.org
In this work, we numerically consider the initial value problem for nonlinear Schr\" odinger
(NLS) type models arising in the physics of ultracold boson gases, with generic Gaussian …

OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross–Pitaevskii equation

LE Young-S, P Muruganandam, SK Adhikari… - Computer Physics …, 2017 - Elsevier
Abstract We present Open Multi-Processing (OpenMP) version of Fortran 90 programs for
solving the Gross–Pitaevskii (GP) equation for a Bose–Einstein condensate in one, two, and …

Vector rogue waves in spin-1 Bose–Einstein condensates with spin–orbit coupling

JT He, HJ Li, J Lin, BA Malomed - New Journal of Physics, 2024 - iopscience.iop.org
We analytically and numerically study three-component rogue waves (RWs) in spin-1 Bose–
Einstein condensates with Raman-induced spin–orbit coupling (SOC). Using the multiscale …

On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients

K Manikandan, M Senthilvelan, RA Kraenkel - The European Physical …, 2016 - Springer
We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear
Schrödinger equations with distributed coefficients, namely diffraction, nonlinearity and gain …

[HTML][HTML] Solitons, Lumps, Breathers, and Interaction Phenomena for a (2+ 1)-Dimensional Variable-Coefficient Extended Shallow-Water Wave Equation

T Qiu, Z Wang, X Yang, G Wei, F Cui - Mathematics, 2024 - mdpi.com
In this paper, soliton solutions, lump solutions, breather solutions, and lump-solitary wave
solutions of a (2+ 1)-dimensional variable-coefficient extended shallow-water wave (vc …

Rogue waves on the double-periodic background in Hirota equation

N Sinthuja, K Manikandan, M Senthilvelan - The European Physical …, 2021 - Springer
We construct rogue wave solutions on the double-periodic background for the Hirota
equation through onefold Darboux transformation formula. We consider two types of double …

Dynamics of Peregrine combs and Peregrine walls in an inhomogeneous Hirota and Maxwell-Bloch system

L Wang, ZQ Wang, WR Sun, YY Shi, M Li… - … in Nonlinear Science and …, 2017 - Elsevier
Under investigation in this paper is an inhomogeneous Hirota-Maxwell-Bloch (IHMB) system
which can describe the propagation of optical solitons in an erbium-doped optical fiber. The …