Results 81 to 90 of about 48,235 (213)

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

Broadband Parametric Amplification in AlGaAs‐on‐Insulator Nanowaveguides

Laser &Photonics Reviews, EarlyView.
Harnessing the exceptional nonlinearity of AlGaAs‐on‐insulator nanowaveguides, four‐wave‐mixing parametric amplification achieves a record net on‐chip gain of 56 dB and a gain bandwidth exceeding 415 nm at telecom wavelengths. These results establish AlGaAsOI as a powerful platform for compact, high‐performance integrated nonlinear optical ...
Yanjing Zhao, Chanju Kim, Yi Zheng, Chaochao Ye, Yueguang Zhou, Kresten Yvind, Minhao Pu   +6 more
wiley   +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

Frontiers of Bright CEP‐Stable Broadband Infrared Sources

Laser &Photonics Reviews, EarlyView.
Bright CEP‐stable broadband infrared sources push the limits of ultrafast science by delivering exceptional brightness alongside few‐cycle durations and multi‐octave spectral coverage. This review highlights emerging architectures and nonlinear conversion strategies that scale power while preserving phase stability.
Ugaitz Elu, Jens Biegert
wiley   +1 more source

Interplay between Coherence and Incoherence in Multi-Soliton Complexes

, 1999
We analyze photo-refractive incoherent soliton beams and their interactions in Kerr-like nonlinear media. The field in each of M incoherently interacting components is calculated using an integrable set of coupled nonlinear Schrodinger equations.
Akhmediev, Nail N., Sukhorukov, Andrey A.   +1 more
core   +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

Gravitational Solitons and Monodromy Transform Approach to Solution of Integrable Reductions of Einstein Equations

, 2000
In this paper the well known Belinskii and Zakharov soliton generating transformations of the solution space of vacuum Einstein equations with two-dimensional Abelian groups of isometries are considered in the context of the so called "monodromy ...
Alekseev, Alekseev, Alekseev, Belinskii, Belinskii, G.A. Alekseev, Kinnersley   +6 more
core   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Back-reaction of perturbation wave packets on gray solitons

, 2012
Within the Bogoliubov-de Gennes linearization theory of quantum or classical perturbations around a background solution to the one-dimensional nonlinear Schr\"odinger equation, we study the back-reaction of wave packet perturbations on a gray soliton ...
C. Pethick, J. R. Anglin, L. P. Pitaevskii, L. Pitaevskii, P. B. Walczak   +4 more
core   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source