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 …
scales that vary from microns to kilometres. Consequently, its solutions are also universal …
Roadmap on optical rogue waves and extreme events
The pioneering paper'Optical rogue waves' by Solli et al (2007 Nature 450 1054) started the
new subfield in optics. This work launched a great deal of activity on this novel subject. As a …
new subfield in optics. This work launched a great deal of activity on this novel subject. As a …
Acoustic focusing and imaging via phononic crystal and acoustic metamaterials
The effective operation of certain electronic, medical, industrial, and testing equipment relies
on high-quality focusing and imaging capability, which also plays a vital role in the field of …
on high-quality focusing and imaging capability, which also plays a vital role in the field of …
Time reversal and holography with spacetime transformations
Wave control is usually performed by spatially engineering the properties of a medium.
Because time and space play similar roles in wave propagation, manipulating time …
Because time and space play similar roles in wave propagation, manipulating time …
A robust inverse scattering transform for the focusing nonlinear Schrödinger equation
We propose a modification of the standard inverse scattering transform for the focusing
nonlinear Schrödinger equation (also other equations by natural generalization) formulated …
nonlinear Schrödinger equation (also other equations by natural generalization) formulated …
Progresses in the research of oceanic freak waves: Mechanism, modeling, and forecasting
In the 1990s, oceanographers realized that the freak waves posed realistic threats to
offshore and marine engineering. Since then, tremendous efforts from both academia and …
offshore and marine engineering. Since then, tremendous efforts from both academia and …
Generation of higher-order rogue waves from multibreathers by double degeneracy in an optical fiber
In this paper, we construct a special kind of breather solution of the nonlinear Schrödinger
(NLS) equation, the so-called breather-positon (b-positon for short), which can be obtained …
(NLS) equation, the so-called breather-positon (b-positon for short), which can be obtained …
The nonlinear Schrödinger equation and the propagation of weakly nonlinear waves in optical fibers and on the water surface
The dynamics of waves in weakly nonlinear dispersive media can be described by the
nonlinear Schrödinger equation (NLSE). An important feature of the equation is that it can be …
nonlinear Schrödinger equation (NLSE). An important feature of the equation is that it can be …
Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation
We analytically study rogue-wave (RW) solutions and rational solitons of an integrable fifth-
order nonlinear Schrödinger (FONLS) equation with three free parameters. It includes, as …
order nonlinear Schrödinger (FONLS) equation with three free parameters. It includes, as …
Tracking breather dynamics in irregular sea state conditions
A Chabchoub - Physical review letters, 2016 - APS
Breather solutions of the nonlinear Schrödinger equation (NLSE) are known to be
considered as backbone models for extreme events in the ocean as well as in Kerr media …
considered as backbone models for extreme events in the ocean as well as in Kerr media …