Results 31 to 40 of about 367,090 (333)
KdV-type equations linked via Baecklund transformations: remarks and perspectives
, 2018 Third order nonlinear evolution equations, that is the Korteweg-deVries (KdV), modified Korteweg-deVries (mKdV) equation and other ones are considered: they all are connected via Baecklund transformations.
Carillo, Sandra
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Complexity, 2018 We consider the application of Koopman theory to nonlinear partial differential equations and data-driven spatio-temporal systems. We demonstrate that the observables chosen for constructing the Koopman operator are critical for enabling an accurate ...
J. Nathan Kutz +2 more
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Planar Solid‐State Nanopores Toward Scalable Nanofluidic Integration Based on CMOS Technology
Advanced Engineering Materials, EarlyView.We present a scalable silicon‐based fabrication strategy for planar solid‐state nanopores to enable their integration with complex nanofluidic systems. Prototype devices demonstrate normal voltage‐current characteristics, good noise performance, and appreciable streaming currents. Our CMOS‐compatible fabrication process offers precise geometric control
Ngan Hoang Pham +7 more
wiley +1 more source
Optimum Integration Procedures for Supercontinuum Simulation
IEEE Photonics Journal, 2012 We study numerical solutions of the generalized nonlinear Schrödinger equation (GNLSE), focusing on the advantage of integrating the nonlinear part of the equation in the frequency domain (FD), rather than in the time domain (TD), when simulating
A. A. Rieznik +4 more
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, 2007 We present a discrete multiscale expansion of the lattice potential Korteweg-de Vries (lpKdV) equation on functions of infinite order of slow-varyness. To do so we introduce a formal expansion of the shift operator on many lattices holding at all orders.
Chaichi M +7 more
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Approximation methods for nonlinear operator equations [PDF]
Proceedings of the American Mathematical Society, 2002 The authors prove that a Mann-type iterative process converges strongly to the zero of a uniformly quasi-accretive map in an arbitrary normed real linear space. Related results concern the strong convergence of the iteration to fixed points of uniformly hemi-contractive maps in arbitrary real normed spaces. The theorems unify and extend several results
Chidume, C. E., Zegeye, H.
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Advanced Engineering Materials, EarlyView.A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora +4 more
wiley +1 more source
Existence of a Short-Run Equilibrium of the Dixit-Stiglitz-Krugman Model
Discrete Dynamics in Nature and Society, 2018 Each short-run equilibrium of the Dixit-Stiglitz-Krugman model is defined as a solution to the wage equation when the distributions of workers and farmers are given functions.
Minoru Tabata, Nobuoki Eshima
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Quantum nonlinear Schrödinger equation. I. Intertwining operators [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1986 We consider the quantum nonlinear Schrödinger equation (NLS) as a model of the quantum (nonrelativistic) field theory in 1 + 1 dimensions. In this paper we develop a calculus of intertwining operators for the NLS. This calculus will be used in subsequent publications to solve explicitly an initial value problem for the NLS ...
openaire +2 more sources
Advanced Engineering Materials, EarlyView.This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal +2 more
wiley +1 more source