Rogue wave excitations and hybrid wave structures of the Heisenberg ferromagnet equation with time-dependent inhomogeneous bilinear interaction and spin …

XY Wen, XK Liu, Y Chen, Z Yan - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
In this paper, we focus on the localized rational waves of the variable-coefficient Heisenberg
spin chain equation, which models the local magnetization in ferromagnet with time …

Rogue wave solutions on different periodic backgrounds for the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation

YH Liu, HQ Hao, JW Zhang - Journal of Mathematical Analysis and …, 2023 - Elsevier
In this paper, we will present exact rogue wave solutions on different periodic backgrounds
for the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation, which can govern …

Location controllable rogue wave and mixed interaction solutions on the sine-cosine function period background for the Heisenberg ferromagnetic equation

XK Liu, XY Wen, Z Lin - Nonlinear Dynamics, 2023 - Springer
Under consideration is the Heisenberg ferromagnetic equation, which can describe the
motion of the magnetic vector of isotropic ferromagnetism. Starting from its 2× 2 Lax pair …

Solitary wave, breather wave and rogue wave solutions of an inhomogeneous fifth-order nonlinear Schrodinger equation from Heisenberg ferromagnetism

LL Feng, SF Tian, TT Zhang - 2019 - projecteuclid.org
In this paper, we consider an inhomogeneous fifth-order nonlinear Schrodinger equation
from Heisenberg ferromagnetism, which describes the dynamics of a site-dependent …

[HTML][HTML] Lax pair, Darboux transformation and Nth-order rogue wave solutions for a (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation

BQ Li, YL Ma - Computers & Mathematics with Applications, 2019 - Elsevier
Abstract A new (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation is
investigated, which can be used to describe magnetic soliton excitations in two dimensional …

Nonlinear dynamics of rogue waves in a fifth-order nonlinear Schrödinger equation

N Song, H Xue, X Zhao - IEEE Access, 2020 - ieeexplore.ieee.org
In this paper, nonlinear dynamics of higher-order rogue waves are investigated for a fifth-
order nonlinear Schrödinger equation, which can depict the Heisenberg ferromagnetic spin …

Conservation laws, modulation instability and rogue waves for the localized magnetization with spin torque

CQ Su, YY Wang, XQ Liu, N Qin - Communications in Nonlinear Science …, 2017 - Elsevier
Under investigation in this paper is an integrable equation which can describe the localized
magnetization with spin torque under the long-wavelength approximation. In order to obtain …

Multiple nonlinear wave solutions of a generalized Heisenberg ferromagnet model and their interactions

QL Liu, HQ Hao, R Guo - Modern Physics Letters B, 2024 - World Scientific
Under investigation in this paper is a generalized Heisenberg ferromagnet (HF) equation
which is named the Zhanbota-IIA equation. It is one of the integrable generalizations of the …

Soliton and rogue-wave solutions for a (2+ 1)-dimensional fourth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain

HM Li, B Tian, XY Xie, J Chai, L Liu, YT Gao - Nonlinear Dynamics, 2016 - Springer
In this paper, we investigate the soliton and rogue-wave solutions for a (2+ 1)-dimensional
fourth-order nonlinear Schrödinger equation, which describes the spin dynamics of a …

Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials

L Wang, Z Yan - Applied Mathematics Letters, 2021 - Elsevier
The defocusing nonlinear Schrödinger (NLS) equation has no the modulational instability,
and was not found to possess the rogue wave (RW) phenomenon up to now. In this paper …