Interaction dynamics of optical dark bound solitons for a defocusing Lakshmanan-Porsezian-Daniel equation

CC Ding, Q Zhou, H Triki, ZH Hu - Optics Express, 2022 - opg.optica.org
We investigate the propagation and interaction dynamics of the optical dark bound solitons
for the defocusing Lakshmanan-Porsezian-Daniel equation, which is a physically relevant …

Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers

TY Wang, Q Zhou, WJ Liu - Chinese Physics B, 2022 - iopscience.iop.org
With the rapid development of communication technology, optical fiber communication has
become a key research area in communications. When there are two signals in the optical …

[HTML][HTML] Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation

LL Feng, TT Zhang - Applied Mathematics Letters, 2018 - Elsevier
Under investigation in this paper is a coupled nonlinear Schrödinger (NLS) equation, which
describes nonlinear pulse propagation in optical fibers by retaining terms up to the next …

Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background

HQ Zhang, F Chen - Chaos: An Interdisciplinary Journal of Nonlinear …, 2021 - pubs.aip.org
In this paper, we construct rogue wave solutions on the periodic background for the fourth-
order nonlinear Schrödinger (NLS) equation. First, we consider two types of the Jacobi …

High-dimensional nonlinear wave transitions and their mechanisms

X Zhang, L Wang, C Liu, M Li, YC Zhao - Chaos: An Interdisciplinary …, 2020 - pubs.aip.org
In this paper, the dynamics of transformed nonlinear waves in the (2+ 1)-dimensional Ito
equation are studied by virtue of the analysis of characteristic line and phase shift. First, the …

[HTML][HTML] Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+ 1)-dimensional generalized breaking soliton equation

XW Yan, SF Tian, MJ Dong, L Zhou… - Computers & Mathematics …, 2018 - Elsevier
Abstract We consider a (2+ 1)-dimensional generalized breaking soliton (gBS) equation,
which describes the interaction of the Riemann wave propagated along the y-axis with a …

Solitons, Bäcklund transformation and Lax pair for a (2+ 1)-dimensional Davey-Stewartson system on surface waves of finite depth

XH Zhao, B Tian, XY Xie, XY Wu, Y Sun… - Waves in Random and …, 2018 - Taylor & Francis
Under investigation in this paper is a (2+ 1)-dimensional Davey-Stewartson system, which
describes the transformation of a wave-packet on water of finite depth. By virtue of the bell …

[HTML][HTML] Characteristics of the solitary waves and rogue waves with interaction phenomena in a generalized (3+ 1)-dimensional Kadomtsev–Petviashvili equation

XB Wang, SF Tian, CY Qin, TT Zhang - Applied Mathematics Letters, 2017 - Elsevier
Under investigation in this work is a generalized (3+ 1)-dimensional Kadomtsev–Petviashvili
equation, which can describe many nonlinear phenomena in fluid dynamics. By virtue of …

Rational solutions for a (3+ 1)-dimensional nonlinear evolution equation

X Wang, J Wei, X Geng - … in Nonlinear Science and Numerical Simulation, 2020 - Elsevier
Abstract A (3+ 1)-dimensional nonlinear evolution equation is decomposed into three
integrable (1+ 1)-dimensional models, namely, the nonlinear Schrödinger equation, the …

[HTML][HTML] Dynamics of the breathers and rogue waves in the higher-order nonlinear Schrödinger equation

XB Wang, TT Zhang, MJ Dong - Applied Mathematics Letters, 2018 - Elsevier
In this paper, the higher-order nonlinear Schrödinger equation, which can be widely used to
describe the dynamics of the ultrashort pulses in optical fibers, is under investigation. By …