Results 11 to 20 of about 33,812 (321)
Quantum signatures of breather-breather interactions [PDF]
Physical Review Letters, 2003 The spectrum of the Quantum Discrete Nonlinear Schr\"odinger equation on a periodic 1D lattice shows some interesting detailed band structure which may be interpreted as the quantum signature of a two-breather interaction in the classical case.
A. C. Scott +8 more
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Physical Review Letters, 2019 We present both a theoretical description and experimental observation of the nonlinear mutual interactions between a pair of copropagative breathers in the framework of the focusing one-dimensional nonlinear Schrödinger equation. As a general case, we show that the resulting bound state of breathers exhibits moleculelike behavior with quasiperiodic ...
Xu, Gang +4 more
openaire +5 more sources
Ghost Interaction of Breathers [PDF]
Frontiers in Physics, 2020 Mutual interaction of localized nonlinear waves, e.g., solitons and modulation instability patterns, is a fascinating and intensively-studied topic of nonlinear science.
Gang Xu +8 more
doaj +4 more sources
Some breathers and multi-breathers for FPU-type chains [PDF]
Communications in Mathematical Physics, 2018 We consider several breather solutions for FPU-type chains that have been found numerically. Using computer-assisted techniques, we prove that there exist true solutions nearby, and in some cases, we determine whether or not the solution is spectrally ...
Arioli, Gianni, Koch, Hans
core +2 more sources
Studies in applied mathematics (Cambridge), 2018 We construct the multi-breather solutions of the focusing nonlinear Schr\"odinger equation (NLSE) on the background of elliptic functions by the Darboux transformation, and express them in terms of the determinant of theta functions.
Feng, Bao-Feng +2 more
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The nonlinear vibration and dispersive wave systems with extended homoclinic breather wave solutions
Open Physics, 2022 This article investigates the extended homoclinic (heteroclinic) breather wave solutions and interaction periodic and dark soliton solutions to the nonlinear vibration and dispersive wave systems.
Rao Xianqing +5 more
doaj +2 more sources
Dichromatic "Breather Molecules" in a Mode-Locked Fiber Laser. [PDF]
Physical Review Letters, 2022 Bound states of solitons ("molecules") occur in various settings, playing an important role in the operation of fiber lasers, optical emulation, encoding, and communications.
Yudong Cui1 +9 more
semanticscholar +1 more source
Breather Molecular Complexes in a Passively Mode‐Locked Fiber Laser [PDF]
Laser & Photonics reviews, 2021 Breathing solitons are nonlinear waves in which the energy concentrates in a localized and oscillatory fashion. Similarly to stationary solitons, breathers in dissipative systems can form stable bound states displaying molecule‐like dynamics, which are ...
Junsong Peng +6 more
semanticscholar +1 more source
Physics Reports, 1998 62 pages, LaTeX, 14 ps figures. Physics Reports, to be published; see also at http://www.mpipks-dresden.mpg.de/~flach/html/preprints ...
Flach, S., Willis, C.
openaire +3 more sources
Breather dynamics in a stochastic sine-Gordon equation: Evidence of noise-enhanced stability [PDF]
Chaos, Solitons & Fractals, 2022 The dynamics of sine-Gordon breathers is studied in the presence of dissipative and stochastic perturbations. Taking a stationary breather with a random phase value as the initial state, the performed simulations demonstrate that a spatially-homogeneous ...
Duilio De Santis +4 more
semanticscholar +1 more source