Results 71 to 80 of about 74,200 (309)

CLOSED FORM SOLUTIONS TO THE INTEGRABLE DISCRETE NONLINEAR SCHRÖDINGER EQUATION [PDF]

, 2012
In this article we derive explicit solutions of the matrix integrable discrete nonlinear Schr ̈odinger equation by using the inverse scattering transform and the Marchenko method.
VAN DER MEE, CORNELIS VICTOR MARIA, DEMONTIS, FRANCESCO   +1 more
core   +1 more source

Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series

Advances in Difference Equations, 2020
In the present work, a numerical technique for solving a general form of nonlinear fractional order integro-differential equations (GNFIDEs) with linear functional arguments using Chebyshev series is presented.
Khalid K. Ali, Mohamed A. Abd El Salam, Emad M. H. Mohamed, Bessem Samet, Sunil Kumar, M. S. Osman   +5 more
doaj   +1 more source

On the Iterative Method for the System of Nonlinear Matrix Equations [PDF]

Abstract and Applied Analysis, 2013
Summary: The positive definite solutions for the system of nonlinear matrix equations \(X + A^\ast Y^{-n} A = I\), \(Y + B^\ast X^{-m} B = I\) are considered, where \(n\), \(m\) are two positive integers and \(A\), \(B\) are nonsingular complex matrices.
openaire   +3 more sources

Optimization of the Production of Rubber Compounds Using Mathematical Models

Advanced Engineering Materials, EarlyView.
Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle, Andreas Limper, Ulrich Giese, Carlos Lucke, Mario Beiner, Christoph Gögelein, Lisa Leuchtenberger‐Engel, Christian Hopmann   +7 more
wiley   +1 more source

The nonlinear Schr\"odinger equation with forcing involving products of eigenfunctions [PDF]

, 2022
We elaborate on a new methodology, which starting with an integrableevolution equation in one spatial dimension, constructs an integrable forcedversion of this equation.
Latifi, A., A. S. Fokas, A. Latifi, Fokas, A. S.   +3 more
core   +1 more source

Analysis of the nonlinear forced vibration and stability of composite beams using the reduced-order model

AIP Advances, 2021
The purpose of this paper is to analyze the nonlinear vibration of composite beams and the stability of the solution by using the reduced-order model and the incremental harmonic balance (IHB) method.
Kumchol Kim, Kwangchol Ri, Cholil Yun, Choljun Kim, Yunnam Kim   +4 more
doaj   +1 more source

Workflow for Design of Experiments‐Based Modeling of Species Transport and Growth Kinetics in GaN Hydride Vapor Phase Epitaxy

Advanced Engineering Materials, EarlyView.
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič, G. Lukin, H. Torkashvand, A. Kerschbaum, M. Müller, S. Besendörfer, J. Heitmann, J. Friedrich   +7 more
wiley   +1 more source

On a matrix KdV6 equation [PDF]

The so-called KdV6 equation has, since its discovery, been the subject of much interest. In this paper we present a matrix version of this equation. On the one hand, we use the Darboux transformation to derive its Bäcklund transformation and a nonlinear ...
Gordoa, Pilar R., Wattis, Jonathan A.D., Pickering, Andrew   +2 more
core   +2 more sources

On the nonlinear matrix equation X-∑i=1mAi∗XδiAi=Q [PDF]

, 2008
Based on fixed point theorems for monotone and mixed monotone operators in a normal cone, we prove that the nonlinear matrix equation X-∑i=1mAi∗XδiAi=Q ...
Duan, Xuefeng, Liao, Anping, Tang, Bin
core   +1 more source

Long-time asymptotic behavior for the Hermitian symmetric space derivative nonlinear Schrödinger equation

Advanced Nonlinear Studies
Resorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
doaj   +1 more source