N-soliton, Mth-order breather, Hth-order lump, and hybrid solutions of an extended (3+1)-dimensional Kadomtsev-Petviashvili equation

Y Shen, B Tian, CD Cheng, TY Zhou - Nonlinear Dynamics, 2023 - Springer
Investigated in this paper is an extended (3+ 1)-dimensional Kadomtsev-Petviashvili
equation. We determine the N-soliton solutions of that equation via an existing bilinear form …

Idealized four-wave mixing dynamics in a nonlinear Schrödinger equation fiber system

A Sheveleva, U Andral, B Kibler, P Colman, JM Dudley… - Optica, 2022 - opg.optica.org
The observation of ideal four-wave mixing dynamics is notoriously difficult to implement
experimentally due to the generation of higher-order sidebands and optical loss, which limit …

The nonlinear Benjamin–Feir instability–Hamiltonian dynamics, discrete breathers and steady solutions

D Andrade, R Stuhlmeier - Journal of Fluid Mechanics, 2023 - cambridge.org
We develop a general framework to describe the cubically nonlinear interaction of a
degenerate quartet of deep-water gravity waves in one or two spatial dimensions. Starting …

Trajectory control in idealized four-wave mixing processes in optical fiber

A Sheveleva, P Colman, JM Dudley, C Finot - Optics Communications, 2023 - Elsevier
The four-wave mixing process is a fundamental nonlinear interaction in Kerr media that can
be described by a closed trajectory in the associated phase plane. We show here that it is …

Effect of shoaling length on rogue wave occurrence

J Zhang, S Mendes, M Benoit… - Journal of Fluid …, 2024 - cambridge.org
The impact of shoaling on linear water waves is well known, but it has only been recently
found to significantly amplify both the intensity and frequency of rogue waves in nonlinear …

Manipulation of breather waves with split-dispersion cascaded fibers

Z Deng, J Zhang, D Fan, L Zhang - New Journal of Physics, 2022 - iopscience.iop.org
A stabilization scheme is proposed for the dynamics of breather waves induced by the
coherent-seed modulation instability based on manipulation of phase-space trajectory …

Effects of coupling coefficient dispersion on the Fermi-Pasta-Ulam-Tsingou recurrence in two-core optical fibers

JH Li, HM Yin, KS Chiang, KW Chow - Optics Communications, 2024 - Elsevier
In a two-core optical fiber (TCF), the linear coupling coefficient between the two cores in
general varies with the optical wavelength, a phenomenon known as coupling coefficient …

On the formation of coastal rogue waves in water of variable depth

Y Li, A Chabchoub - Cambridge Prisms: Coastal Futures, 2023 - cambridge.org
Wave transformation is an intrinsic dynamic process in coastal areas. An essential part of
this process is the variation of water depth, which plays a dominant role in the propagation …

Emergent soliton-like solutions in the parametrically driven 1-D nonlinear Schrödinger equation

K Dileep, S Murugesh - Physica Scripta, 2023 - iopscience.iop.org
Emergent soliton-like solutions in the parametrically driven 1-D nonlinear Schrödinger
equation - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …

Dirac Monopoles in Rogue Waves

LC Zhao, LZ Meng, YH Qin, ZY Yang, J Liu - arXiv preprint arXiv …, 2021 - arxiv.org
We for the first time demonstrate that the widely existed nonlinear waves such as rogue
waves, contain Dirac monopoles. We find that the density zeros of these nonlinear waves on …