Results 61 to 70 of about 458,466 (259)

Rogue Waves: From Nonlinear Schrödinger Breather Solutions to Sea-Keeping Test [PDF]

, 2013
Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be modeled by the one-dimensional nonlinear Schrödinger equation. Besides traveling wave solutions like solitons, this model admits also breather solutions that are now ...
A Chabchoub, A Chabchoub, A Chabchoub, A Osborne, A Toffoli, B Kibler, D Peregrine, Davide Proment, GF Clauss, GF Clauss, Günther Clauss, KB Dysthe, Marco Klein, Miguel Onorato, N Akhmediev, N Akhmediev, T Baldock, V Zakharov, Vanesa Magar, Y Bludov, Y Ma   +20 more
core   +3 more sources

DualPG‐DTA: A Large Language Model‐Powered Graph Neural Network Framework for Enhanced Drug‐Target Affinity Prediction and Discovery of Novel CDK9 Inhibitors Exhibiting in Vivo Anti‐Leukemia Activity

Advanced Science, EarlyView.
This study introduces DualPG‐DTA, a framework integrating two pre‐trained models to generate molecular and protein representations. It constructs dual graphs processed by specialized neural networks with dynamic attention for feature fusion, achieving superior benchmark performance.
Yihao Chen, Jindi Huang, Cong Liu, Shipeng Zhang, Xinze Li, Zhang Zhang, Tie‐Gen Chen, Ling Wang   +7 more
wiley   +1 more source

Families of Solutions of Multitemporal Nonlinear Schrödinger PDE

Mathematics, 2021
The multitemporal nonlinear Schrödinger PDE (with oblique derivative) was stated for the first time in our research group as a universal amplitude equation which can be derived via a multiple scaling analysis in order to describe slow modulations of the ...
Cristian Ghiu, Constantin Udriste, Lavinia Laura Petrescu   +2 more
doaj   +1 more source

Intrinsic localized modes in parametrically driven arrays of nonlinear resonators [PDF]

, 2009
We study intrinsic localized modes (ILMs), or solitons, in arrays of parametrically driven nonlinear resonators with application to microelectromechanical and nanoelectromechanical systems (MEMS and NEMS).
Cross, M. C., Kenig, Eyal, Lifshitz, Ron, Malomed, Boris A.   +3 more
core   +2 more sources

Soliton Resolution for the Derivative Nonlinear Schrödinger Equation [PDF]

, 2017
We study the derivative nonlinear Schrödinger equation for generic initial data in a weighted Sobolev space that can support bright solitons (but exclude spectral singularities).
R. Jenkins, Jiaqi Liu, P. Perry, C. Sulem   +3 more
semanticscholar   +1 more source

Learned Conformational Space and Pharmacophore Into Molecular Foundational Model

Advanced Science, EarlyView.
The Ouroboros model introduces two orthogonal modules within a unified framework that independently learn molecular representations and generate chemical structures. This design enables flexible optimization strategies for each module and faithful structure reconstruction without prompts or noise.
Lin Wang, Yifan Wu, Hao Luo, Minglong Liang, Yihang Zhou, Cheng Chen, Chris Liu, Jun Zhang, Yang Zhang   +8 more
wiley   +1 more source

Riemann–Hilbert approach and N-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber

Advances in Difference Equations, 2019
This paper aims to present an application of the Riemann–Hilbert approach to treat higher-order nonlinear differential equation that is an eighth-order nonlinear Schrödinger equation arising in an optical fiber. Starting from the spectral analysis of the
Zhou-Zheng Kang, Tie-Cheng Xia, Wen-Xiu Ma   +2 more
doaj   +1 more source

Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation. [PDF]

Physical Review Letters, 2017
We report experimental confirmation of the universal emergence of the Peregrine soliton predicted to occur during pulse propagation in the semiclassical limit of the focusing nonlinear Schrödinger equation.
A. Tikan, C. Billet, G. El, A. Tovbis, M. Bertola, T. Sylvestre, F. Gustave, S. Randoux, G. Genty, P. Suret, J. Dudley   +10 more
semanticscholar   +1 more source

AI‐Driven Acceleration of Fluorescence Probe Discovery

Advanced Science, EarlyView.
We present PROBY, an AI model trained on large‐scale datasets to predict key photophysical properties and accelerate the discovery of target‐specific fluorescent probes. By screening a target‐annotated library, PROBY identifies candidate probes for diverse targets and could guide probe optimization, enabling a range of in vitro and in vivo imaging ...
Xuefeng Jiang, Yanbo Li, Xue Tian, Sen Yang, Ruina Luo, Cenxing Zhou, Yuxuan Liu, Jingying Hu, Sen Feng, Lu Gan, Chongzhao Ran, Kun‐Hsing Yu, Junhan Zhao, Xiao Han, Xuan Zhai, Yuntao Jia, Jiapei Dai, Xiyue Wang, Biyue Zhu   +18 more
wiley   +1 more source

Complex optical solutions and modulation instability of hyperbolic Schrödinger dynamical equation

Results in Physics, 2019
Complex hyperbolic Schrödinger equation describes ultra-short pulse propagation in nonlinear media fiber optics. In this paper, new complex solutions for the complex hyperbolic Schrödinger equation are constructed using generalized elliptic equation ...
Wilson Osafo Apeanti, Aly R. Seadawy, Dianchen Lu   +2 more
doaj   +1 more source