Results 11 to 20 of about 2,644,874 (205)
Real-time observation of optical rogue waves in spatiotemporally mode-locked fiber lasers
Optical rogue waves emerge as the optical analogue to oceanic rogue waves, namely as a temporally rare fluctuations characterized by exceptionally high intensities.
Uğur Teğin, Peng Wang, Lihong V. Wang
doaj +2 more sources
Rogue waves and analogies in optics and oceanography [PDF]
Over a decade ago, an analogy was drawn between the generation of large ocean waves and the propagation of light fields in optical fibres. This analogy drove numerous experimental studies in both systems, which we review here.
J. Dudley +4 more
semanticscholar +3 more sources
Transverse Instability of Rogue Waves [PDF]
Rogue waves are abnormally large waves which appear unexpectedly and have attracted considerable attention, particularly in recent years. The one space, one time (1+1) nonlinear Schr dinger equation is often used to model rogue waves; it is an envelope description of plane waves and admits the so-called Pergerine and Kuznetov-Ma soliton solutions ...
Mark J. Ablowitz, Justin T. Cole
openaire +5 more sources
Intracavity incoherent supercontinuum dynamics and rogue waves in a broadband dissipative soliton laser. [PDF]
Understanding dynamical complexity is one of the most important challenges in science. Significant progress has recently been made in optics through the study of dissipative soliton laser systems, where dynamics are governed by a complex balance between ...
Meng F +8 more
europepmc +2 more sources
Rogue waves arising on the standing periodic waves in the Ablowitz–Ladik equation [PDF]
We study the standing periodic waves in the semidiscrete integrable system modeled by the Ablowitz–Ladik (AL) equation. We have related the stability spectrum to the Lax spectrum by separating the variables and by finding the characteristic polynomial ...
Jinbing Chen, D. Pelinovsky
semanticscholar +1 more source
Rogue waves and their patterns for the coupled Fokas-Lenells equations [PDF]
In this work, we explore the rogue wave patterns in the coupled Fokas-Lenells equation by using the Darboux transformation. We demonstrate that when one of the internal parameters is large enough, the general high-order rogue wave solutions generated at ...
Liming Ling, Huajie Su
semanticscholar +1 more source
Elliptic-rogue waves and modulational instability in nonlinear soliton equations. [PDF]
We present elliptic-rogue wave solutions for integrable nonlinear soliton equations in rational form by elliptic functions. Unlike solutions generated on the plane wave background, these solutions depict rogue waves emerging on elliptic function ...
Liming Ling, Xuan Sun
semanticscholar +1 more source
Rogue waves in the massive Thirring model [PDF]
In this paper, general rogue wave solutions in the massive Thirring (MT) model are derived by using the Kadomtsev–Petviashvili (KP) hierarchy reduction method and these rational solutions are presented explicitly in terms of determinants whose matrix ...
Junchao Chen, Bo Yang, B. Feng
semanticscholar +1 more source
Rogue Waves and Their Patterns in the Vector Nonlinear Schrödinger Equation [PDF]
In this paper, we study the general rogue wave solutions and their patterns in the vector (or M -component) nonlinear Schrödinger (NLS) equation. By applying the Kadomtsev–Petviashvili reduction method, we derive an explicit solution for the rogue wave ...
Guangxiong Zhang +3 more
semanticscholar +1 more source
This work investigates a (2 + 1)-dimensional shallow water wave equation of ion-acoustic waves in plasma physics. It comprehensively analyzes Cole–Hopf transformations concerning dimensions x, y, and t and obtains the dispersion for a phase variable of ...
Sachin Kumar, B. Mohan
semanticscholar +1 more source

