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Rogue waves are solitary waves with extreme amplitudes, which appear to be a ubiquitous phenomenon in nonlinear wave propagation, with the requirement for a nonlinearity being their only unifying characteristics. While many mechanisms have…

We demonstrate that the relatively small power induced changes in the soliton wavenumber comparable with splitting of the effective indexes of the orthogonally polarized waveguide modes result in significant changes of the efficiency of the…

Optics · Physics 2015-06-19 A. V. Yulin , L. R. Gorjão , R. Driben , D. V. Skryabin

Solitons are of fundamental importance in photonics due to applications in optical data transmission and also as a tool for investigating novel phenomena ranging from light generation at new frequencies and wave-trapping to rogue waves.…

We consider in detail the self-trapping of a soliton from a wave pulse that passes from a defocussing region into a focussing one in a spatially inhomogeneous nonlinear waveguide, described by a nonlinear Schrodinger equation in which the…

Exactly Solvable and Integrable Systems · Physics 2015-06-26 S. R. Clarke , R. H. J. Grimshaw , Boris A. Malomed

The propagation of localized solitons in the presence of large-scale waves is a fundamental problem, both physically and mathematically, with applications in fluid dynamics, nonlinear optics and condensed matter physics. Here, the evolution…

Pattern Formation and Solitons · Physics 2023-07-14 Mark J. Ablowitz , Justin T. Cole , Gennady A. El , Mark A. Hoefer , Xu-dan Luo

Solitons propagating in media with higher order dispersion will shed radiation known as dispersive wave or resonant radiation, with applications in frequency broadening, deep UV sources for spectroscopy or simply fundamental studies of…

We consider a matter wave bright soliton interferometer composed of a harmonic potential trap with a Rosen--Morse barrier at its center on which an incident soliton collides and splits into two solitons. These two solitons recombine after a…

Quantum Gases · Physics 2013-12-03 Juan Polo , Verònica Ahufinger

We present a theory describing trapping of the normally dispersive radiation by the Raman solitons in optical fibers. Frequency of the radiation component is continuously blue shifting, while the soliton is red shifting. Underlying physics…

Optics · Physics 2009-11-13 A. V. Gorbach , D. V. Skryabin

Reflection of wave packets from downward potential steps and attractive potentials, known as a quantum reflection, has been explored for bright matter-wave solitons with the main emphasis on the possibility to trap them on top of a…

Quantum Gases · Physics 2021-01-07 K. K. Ismailov , B. B. Baizakov , F. Kh. Abdullaev

We study the photonic interactions between two distant atoms which are coupled by an optical element (a lens or an optical fiber) focussing part of their emitted radiation onto each other. Two regimes are distinguished depending on the…

Quantum Physics · Physics 2008-07-15 Stefan Rist , Jürgen Eschner , Markus Hennrich , Giovanna Morigi

We present experimental and numerical data on the supercontinuum generation in an optical fiber pumped in the normal dispersion range where the seeded dark and the spontaneously generated bright solitons contribute to the spectral…

Optics · Physics 2017-07-17 C. Milián , T. Marest , A. Kudlinski , D. V. Skryabin

The propagation of light in strongly coupled atomic media takes place through the formation of polaritons - hybrid quasi-particles resulting from a superposition of an atomic and a photonic excitation. Here we consider the propagation under…

Quantum Gases · Physics 2020-09-30 Johannes Lang , Darrick E. Chang , Francesco Piazza

Coherent dispersive wave emission, as an important phenomenon of soliton dynamics, manifests itself in multiple platforms of nonlinear optics from fibre waveguides to integrated photonics. Limited by its resonance nature, efficient…

A coupled pair of waveguides with refractive indices of different signs is considered. It is shown that the gap in the linear wave spectrum closes if these waves are amplitude modulated. To look for solitons as envelopes of exponentially…

Optics · Physics 2025-05-01 Shaykin Dmitriy

Attraction between atoms in a Bose-Einstein-Condensate renders the condensate unstable to collapse. Confinement in an atom trap, however, can stabilize the condensate for a limited number of atoms, as was observed with 7Li, but beyond this…

Statistical Mechanics · Physics 2009-11-07 Kevin E. Strecker , Guthrie B. Partridge , Andrew G. Truscott , Randall G. Hulet

Solitons are self-sustained wavepackets that occur in many physical systems. Their recent demonstration in optical microresonators has provided a new platform for study of nonlinear optical physics with practical implications for…

Optics · Physics 2018-10-24 Xu Yi , Qi-Fan Yang , Ki Youl Yang , Kerry Vahala

We derive the equations governing the motion of Kerr solitons in pair waveforms. Recent experiments in microresonators have studied a variety of interaction effects in multisoliton waveforms, including collisions and formation of soliton…

Pattern Formation and Solitons · Physics 2025-07-11 Amir Leshem , Sanzida Akter , Logan Courtright , Pradyoth Shandilya , Curtis R. Menyuk , Omri Gat

The concept of soliton complex in a nonlinear dispersive medium is proposed. It is shown that strongly interacting identical topological solitons in the medium can form bound soliton complexes which move without radiation. This phenomenon…

patt-sol · Physics 2007-05-23 Mikhail M. Bogdan , Arnold M. Kosevich , Gerard A. Maugin

We study the scattering properties of optical dipole-mode vector solitons recently predicted theoretically and generated in a laboratory. We demonstrate that such a radially asymmetric composite self-trapped state resembles ``a molecule of…

Pattern Formation and Solitons · Physics 2007-05-23 J. J. Garcia-Ripoll , V. M. Perez-Garcia , W. Krolikowski , Y. S. Kivshar

We study the excitation, decay and interactions of novel, velocity locked three-wave parametric solitons in a medium with quadratic nonlinearity and dispersion. We analytically describe the particle-like scattering between stable or…

Optics · Physics 2009-11-13 Matteo Conforti , Fabio Baronio , Antonio Degasperis , Stefan Wabnitz