Results 31 to 40 of about 2,100,774 (208)

The optical soliton solutions of nonlinear Schrödinger equation with quintic non-Kerr nonlinear term

Results in Physics, 2023
The purpose of this paper is to study the optical soliton solutions of nonlinear Schrödinger equation with quintic non-Kerr nonlinear term describing the nonlinear wave state of optical solitons, which is a noteworthy and important model in optical fiber
Kun Zhang, Tianyong Han
doaj   +1 more source

The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations

Journal of Applied Mathematics, 2012
We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti   +2 more
doaj   +1 more source

Mechanism of wave breaking from a vacuum point in the defocusing nonlinear Schrödinger equation [PDF]

, 2014
We study the wave breaking mechanism for the weakly dispersive defocusing nonlinear Schrödinger equation with a constant phase dark initial datum that contains a vacuum point at the origin.
Moro, Antonio, A. Moro, Trillo, Stefano
core   +1 more source

Integration of the Loaded Negative Order Nonlinear Schrodinger Equation in the Class of Periodic Functions

Известия Иркутского государственного университета: Серия "Математика"
In this paper, we consider the loaded negative order nonlinear Schrodinger equation (NSE) in the class of periodic functions. It is shown that the loaded negative order nonlinear Schrodinger equation can be integrated by the inverse spectral problem ...
M. M. Khasanov, I. D. Rakhimov, D. B. Azimov   +2 more
doaj   +1 more source

Photonic‐Enabled Energy‐Efficient Transparent Neuromorphic Computing Devices: A Review

Advanced Science, EarlyView.
Transparent photonic neuromorphic computing devices merge optics and brain‐inspired computing to overcome von Neumann bottlenecks with ultrafast, low‐energy processing. By exploiting transparent oxides, 2D materials, phase‐change materials, and hybrid heterostructures, these platforms enable photonic synapses, memory, and logic for see‐through edge ...
Shuvaraj Ghosh, Ki‐bum Lee, Junghyeon Lee, Seunghee Cho, Malkeshkumar Patel, Hangfei Li, Yu Wen, Ye Zhou, Joondong Kim   +8 more
wiley   +1 more source

Novel soliton solutions and phase plane analysis in nonlinear Schrödinger equations with logarithmic nonlinearities

Scientific Reports
This paper investigates a generalized form of the nonlinear Schrödinger equation characterized by a logarithmic nonlinearity. The nonlinear Schrödinger equation, a fundamental equation in nonlinear wave theory, is applied across various physical systems ...
Du’a Al-zaleq, Lewa’ Alzaleq
doaj   +1 more source

scTIDE: Deciphering Critical Transitions Through Cell‐Perturbed Manifold Graphs and Optimal Transport Conditional Flow Matching

Advanced Science, EarlyView.
scTIDE identifies single‐cell tipping points by combining manifold‐based graph representations with optimal‐transport conditional flow matching, which preserves intrinsic topology and models distributional dynamics. It supports critical‐transition detection at individual‐cell resolution, prediction of unseen cells, and dimensionality reduction and ...
Jiayuan Zhong, Bowen Niu, Yongbo Yu, Shiyang Nie, Xuerong Gu, Pei Chen, Rui Liu   +6 more
wiley   +1 more source

Hamiltonian simulation for nonlinear partial differential equation by Schrödingerization

Scientific Reports
Hamiltonian simulation is a fundamental algorithm in quantum computing that has attracted considerable interest owing to its potential to efficiently solve the governing equations of large-scale classical systems.
Shoya Sasaki, Katsuhiro Endo, Mayu Muramatsu   +2 more
doaj   +1 more source

Asymptotic behavior of dark multi-solitons to the intermediate nonlinear Schrödinger equation

Partial Differential Equations in Applied Mathematics
The intermediate nonlinear Schrödinger equation (abbreviated to (INS)) is a model equation for envelope waves in a deep stratified fluid and can be thought of as a generalization of the defocusing nonlinear Schrödinger equation. Furthermore, it possesses
Takafumi Akahori
doaj   +1 more source

Cancer‐Associated BCL‐2 Mutants Reveal Mechanisms Towards Venetoclax Resistance

Advanced Science, EarlyView.
Venetoclax (VEN) resistance in chronic lymphocytic leukemia arises from diverse BCL2 mutations. We map mechanisms contributing to VEN resistance across common BCL‐2 variants. G101V and D103Y reduce drug binding and increase sequestration of pro‐apoptotic proteins. V156D blocks VEN allosterically.
Jonas Aufdermauer, Ian de Ridder, Mahjoobeh Ehsani, Marasim Khan, Justin Kale, Lukas P. Frenzel, David Andrews, Spyridoula Karamanou, Ana J. Garcia‐Saez, Geert Bultynck   +9 more
wiley   +1 more source