Results 11 to 20 of about 2,518 (143)
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
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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.
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Quantum Signatures of Breather-Breather Interactions [PDF]
Physical Review Letters, 2004 The spectrum of the Quantum Discrete Nonlinear Schr dinger 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. We show that this fine structure can be interpreted using degenerate perturbation theory.
J. DORIGNAC +3 more
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Mathematics, 2023 In this article, we consider the improved perturbed nonlinear Schrödinger Equation (IP-NLSE) with dual power law nonlinearity, which arises in optical fibers and photovoltaic-photo-refractive materials.
Syed T. R. Rizvi +2 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
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Results in Physics, 2023 This manuscript delves into a comprehensive investigation of significant exact solutions pertaining to the extended modified Vakhnenko–Parkes equation (emVPE), with a focus on novel solutions.
Yong Tang
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Lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation
Open Physics, 2021 The aim of this article was to address the lump, lump-one stripe, multiwave and breather solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This model concerns in a massive nematic liquid crystal director field.
Seadawy Aly R. +4 more
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Mathematics, 2022 This manuscript consist of diverse forms of lump: lump one stripe, lump two stripe, generalized breathers, Akhmediev breather, multiwave, M-shaped rational and rogue wave solutions for the complex cubic quintic Ginzburg Landau (CQGL) equation with ...
Aly R. Seadawy +2 more
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Optics Letters, 2014 The dynamics of two component coupled Airy beams is investigated. In the linear propagation regime a complete analytic solution describes breather like propagation of the two components featuring non-diffracting self-accelerating Airy behavior. The superposition of two beams with different input properties opens the possibility to design more complex ...
Driben, R., Konotop, V. V., Meier, T.
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Physics, 2022 In this paper, the quantum fluctuations of the relative velocity of constituent solitons in a Gross-Pitaevskii breather are studied. The breather is confined in a weak harmonic trap.
Sumita Datta +2 more
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