Results 41 to 50 of about 746,627 (265)
Soliton Turbulence in Approximate and Exact Models for Deep Water Waves
Fluids, 2020 We investigate and compare soliton turbulence appearing as a result of modulational instability of the homogeneous wave train in three nonlinear models for surface gravity waves: the nonlinear Schrödinger equation, the super compact Zakharov equation ...
Dmitry Kachulin +2 more
doaj +1 more source
Quantized Vortex Dynamics of the Nonlinear Schrödinger Equation with Wave Operator on the Torus [PDF]
arXiv, 2023 We derive rigorously the reduced dynamical law for quantized vortex dynamics of the nonlinear Schr\"odinger equation with wave operator on the torus when the core size of vortex $\varepsilon \to 0$. It is proved that the reduced dynamical law of the nonlinear Schr\"odinger equation with wave operator is a mixed state of the vortex motion laws for the ...
arxiv
Advanced Theory and Simulations, EarlyView.FMint is introduced as a multi‐modal foundation model that integrates human‐designed solvers and data‐driven methods for fast, accurate simulation of dynamical systems. FMint leverages in‐context learning within a transformer‐based framework to refine coarse numerical solutions.
Zezheng Song, Jiaxin Yuan, Haizhao Yang
wiley +1 more source
Solution of nonlinear system of equations through homotopy path [PDF]
arXiv, 2022 The paper aims to show the equivalency between nonlinear complementarity problem and the system of nonlinear equations. We propose a homotopy method with vector parameter $\lambda$ in finding the solution of nonlinear complementarity problem through a system of nonlinear equations. We propose a smooth and bounded homotopy path to obtain solution of the
arxiv
Advanced Science, EarlyView.The schematic diagram delineates the chondroprotective effects of Ca‐bMSN in OA models. The upper portion of the diagram depicts the synthesis process of Ca‐bMSN. The lower section illustrates the post‐injection of Ca‐bMSN in joint cavity, catalpol released and subsequently mediates the reduction of oxidative stress, ECM catabolism, apoptosis, and ...
Zhenwei Zhou +14 more
wiley +1 more source
Aromaticity‐Dependent Memristive Switching
Advanced Electronic Materials, EarlyView.The article describes a resistive switching mechanism based on the creation of virtual filaments. Research consists of experimental and theoretical data supporting the theory that resistance of the memristor can be modulated by a redox‐induced aromaticity change of a working material.
Ewelina Cechosz +5 more
wiley +1 more source
Amplification of Wave Groups in the Forced Nonlinear Schrödinger Equation
Fluids, 2022 In many physical contexts, notably including deep-water waves, modulation instability in one space dimension is often studied by using the nonlinear Schrödinger equation. The principal solutions of interest are solitons and breathers which are adopted as
Montri Maleewong, Roger H. J. Grimshaw
doaj +1 more source
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 +3 more
semanticscholar +1 more source
Computational and AI‐Driven Design of Hydrogels for Bioelectronic Applications
Advanced Electronic Materials, EarlyView.This review highlights the role of AI in advancing hydrogel design for bioelectronics, exploring natural, and synthetic gels tailored for applications like wound healing, biosensing, and tissue engineering. It emphasizes the synergy between hydrogels, electronics, and AI in creating responsive, multifunctional systems, showcasing recent innovations ...
Rebekah Finster +2 more
wiley +1 more source
Periodic solutions for a class of nonlinear partial differential equations in higher dimension [PDF]
Communications in Mathematical Physics 289 (2009), no. 3, 863-906, 2008 We prove the existence of periodic solutions in a class of nonlinear partial differential equations, including the nonlinear Schroedinger equation, the nonlinear wave equation, and the nonlinear beam equation, in higher dimension. Our result covers cases where the bifurcation equation is infinite-dimensional, such as the nonlinear Schroedinger equation
arxiv +1 more source