Results 81 to 90 of about 47,923 (215)

One-Dimensional Bose Gases with N-Body Attractive Interactions

, 2008
We study the ground state properties of a one-dimensional Bose gas with N-body attractive contact interactions. By using the explicit form of the bright soliton solution of a generalized nonlinear Schroedinger equation, we compute the chemical potential ...
A. O. Gogolin, A. Trombettoni, C. J. Pethick, D. C. Mattis, D. Mihalache, E. Fersino, G. Mussardo, L. P. Pitaveskii, M. J. Ablowitz, M. J. Ablowitz, P. Calabrese, T. Giamarchi, V. E. Korepin, V. E. Zakharov   +13 more
core   +1 more source

New types of soliton solutions [PDF]

Bulletin of the American Mathematical Society, 1992
We announce a detailed investigation of limits of N-soliton solutions of the Korteweg-deVries (KdV) equation as N tends to infinity. Our main results provide new classes of KdV-solutions including in particular new types of soliton-like (reflectionless) solutions.
Gesztesy, F., Karwowski, W., Zhao, Z.
openaire   +2 more sources

Pulse Generation by On‐Chip Dispersion Compensation at 8 µm Wavelength

Laser &Photonics Reviews, EarlyView.
This work demonstrates on‐chip pulse generation at 8 μm$\mathrm{\mu}\mathrm{m}$ using chirped Bragg gratings in SiGe graded‐index photonic circuits to compensate the quadratic phase of quantum cascade laser frequency combs. With this approach pulses as short as 1.39 ps were produced, close to the transform limit, representing a key step toward compact,
Annabelle Bricout, Mathieu Bertrand, Philipp Täschler, Barbara Schneider, Victor Turpaud, Stefano Calcaterra, Davide Impelluso, Marco Faverzani, David Bouville, Jean‐René Coudevylle, Samson Edmond, Etienne Herth, Carlos Alonso‐Ramos, Laurent Vivien, Jacopo Frigerio, Giovanni Isella, Jérôme Faist, Delphine Marris‐Morini   +17 more
wiley   +1 more source

Observation of Linear and Nonlinear Light Trapping on Topological Dislocations

Laser &Photonics Reviews, EarlyView.
Topological dislocations are global lattice defects found in various systems ranging from crystals to photonic lattices. This work reports the first observation at optical frequencies of linear modes with tunable localization bound to edge dislocations and their nonlinear counterparts ‐ dislocation solitons. These results reveal an intriguing interplay
S. K. Ivanov, A. V. Kireev, K. Sabour, N. S. Kostyuchenko, S. A. Zhuravitskii, N. N. Skryabin, I. V. Dyakonov, A. A. Kalinkin, V. O. Kompanets, S. P. Kulik, S. V. Chekalin, A. Ferrando, V. N. Zadkov, Y. V. Kartashov   +13 more
wiley   +1 more source

Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients

Journal of Ocean Engineering and Science, 2020
In this paper, the variable coefficient nonlinear Schrödinger equation with fifth order dispersion in the inhomogeneous optical fiber is investigated to study the impact of fifth order dispersion on attosecond soliton propagation.
Angelin Vithya, M.S. Mani Rajan
doaj   +1 more source

Optical Skyrmions with Tunable or Reconfigurable Topology Using Spin‐Decoupled Metaoptics

Laser &Photonics Reviews, EarlyView.
The work introduces advanced optical elements capable of generating and dynamically reconfiguring complex light patterns known as optical skyrmions. By precisely shaping light polarization at the nanoscale, a single engineered metasurface can generate and manipulate robust and tunable polarization textures in an efficient and scalable way.
Andrea Vogliardi, Daniele Bonaldo, Simone Dal Zilio, Vittorio Apolloni, Filippo Romanato, Gianluca Ruffato   +5 more
wiley   +1 more source

The Evolutionary Properties on Solitary Solutions of Nonlinear Evolution Equations

Advances in Mathematical Physics, 2017
The evolution process of four class soliton solutions is investigated by basic calculus theory. For any given x, we describe the special curvature evolution following time t for the curve of soliton solution and also study the fluctuation of solution ...
Wenxia Chen, Danping Ding, Xiaoyan Deng, Gang Xu   +3 more
doaj   +1 more source

Optical‐to‐Microcomb Stability Transfer for Ultrastable Timing and Microwave/Millimeter‐Wave Generation

Laser &Photonics Reviews, EarlyView.
This work demonstrates a high‐fidelity stability transfer from an optical reference to a high‐repetition‐rate microcomb using a mode‐locked laser bridge. By employing electro‐optic sampling timing detection, femtosecond‐level synchronization and 10−18‐level fractional frequency stability are achieved.
Changmin Ahn, Junyong Choi, Daewon Suk, Hansuek Lee, Jungwon Kim   +4 more
wiley   +1 more source

On Non‐Compact Extended Bach Solitons

Mathematische Nachrichten, EarlyView.
ABSTRACT We study the characterization of non‐compact solitons of the extended Bach flow, known as an extended Bach soliton. We prove that a weakly conformally flat extended Bach soliton (Mn,g,V)$(M^n,g,V)$ with harmonic Weyl tensor is Bach‐flat and the potential vector field V$V$ is conformal.
Rahul Poddar
wiley   +1 more source

Parameter control of optical soliton in one‐dimensional photonic crystal

Mathematical Modelling and Analysis, 2010
The paper deals with finding of soliton solution for Schrödinger equation with periodic linear and nonlinear properties of medium in 1D case. Such structure is named as photonic crystal.
Vyacheslav A. Trofimov, Tatiana M. Lysak, Olga V. Matusevich, Sheng Lan   +3 more
doaj   +1 more source