Waves that appear from nowhere: complex rogue wave structures and their elementary particles

N Akhmediev - Frontiers in Physics, 2021 - frontiersin.org
The nonlinear Schrödinger equation has wide range of applications in physics with spatial
scales that vary from microns to kilometres. Consequently, its solutions are also universal …

Breather solutions of a fourth-order nonlinear Schrödinger equation in the degenerate, soliton, and rogue wave limits

A Chowdury, W Krolikowski, N Akhmediev - Physical Review E, 2017 - APS
We present one-and two-breather solutions of the fourth-order nonlinear Schrödinger
equation. With several parameters to play with, the solution may take a variety of forms. We …

Modulation instability in nonlinear metamaterials modeled by a cubic-quintic complex Ginzburg-Landau equation beyond the slowly varying envelope approximation

LT Megne, CB Tabi, TC Kofane - Physical Review E, 2020 - APS
Considering the theory of electromagnetic waves from the Maxwell's equations, we
introduce a (3+ 1)-dimensionsal cubic-quintic complex Ginzburg-Landau equation …

Waves in hyperbolic and double negative metamaterials including rogues and solitons

AD Boardman, A Alberucci, G Assanto… - …, 2017 - iopscience.iop.org
The topics here deal with some current progress in electromagnetic wave propagation in a
family of substances known as metamaterials. To begin with, it is discussed how a pulse can …

Intricate dynamics of rogue waves governed by the Sasa–Satsuma equation

G Mu, Z Qin, R Grimshaw, N Akhmediev - Physica D: Nonlinear Phenomena, 2020 - Elsevier
We present the second order rogue wave solutions of the Sasa–Satsuma evolution equation
that have significantly more complicated structure than in the case of the nonlinear …

Multi-Raman soliton self-frequency shifts and dissipative rogue wave trains induced by cubic-quintic-Raman contributions in a double-negative material

SN Essiane, BGO Essama, MM Shabat… - Physica B: Condensed …, 2022 - Elsevier
We examine the cubic-quintic-Raman influences on the system when the second-order
dispersion and the cubic-quintic-nonlinearities act in a double-negative material. This …

Tree-like structures and Freak waves generation induced by quintic-nonlinearity and cubic-Raman effect in a nonlinear metamaterial

BM Ndi Nnanga, PY Gouadjio Dontsop… - Optical and Quantum …, 2020 - Springer
The goal of this investigation is based on electromagnetic wave behavior which is modeled
by a nonlinear Schrödinger equation in a nonlinear metamaterial optical system. Two …

Multi-Sasa Satsuma rogue events and multi-wave trains generation in a nonlinear left-handed transmission line

BGO Essama, SN Essiane… - The European Physical …, 2021 - epjplus.epj.org
We demonstrate at the first time that the left-handed transmission line with varactor diodes
can support higher-order effects. So, we establish at the first time, a nonlinear Schrödinger …

[PDF][PDF] Triangular rogue waves and multi-wave trains generation in a Chameleon electrical transmission line

BGO Essama, SN Essiane, F Biya-Motto… - American Journal of …, 2020 - academia.edu
In this work, we present a particular nonlinear transmission line called chameleon nonlinear
transmission line. In fact, the chameleon's behavior is related to the fact that without …

Multi-wave trains and Sasa-Satsuma freak events generation in an optical metamaterial

BGO Essama, SN Essiane, F Biya-Motto… - Chinese Journal of …, 2021 - Elsevier
In this work, we present a new Ansatz function called” type I Ansatz function” with seven
collective coordinates compared to the conventional Gaussian Ansatz function with six …