Results 81 to 90 of about 998,269 (325)

Self-similar solutions and collective coordinate methods for Nonlinear Schrodinger Equations

, 2003
In this paper we study the phase of self-similar solutions to general Nonlinear Schr\"odinger equations. From this analysis we gain insight on the dynamics of nontrivial solutions and a deeper understanding of the way collective coordinate methods work ...
Abdullaev, Abdullaev, Anderson, Berge, Berge, Cuccagna, Davis, Fibich, Gammal, Garcı́a-Ripoll, Garcı́a-Ripoll, Ghosh, Kaplan, Malomed, Oh, Pérez-Garcı́a, Sánchez, Tomio, Towers, Tsai, Vı́ctor M. Pérez-Garcı́a   +20 more
core   +2 more sources

A Numerical–Experimental Approach for Multi‐Matrix Fiber‐Reinforced Plastics Characterization Using Finite Element Model Updating

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, Tales V. Lisbôa, Axel Spickenheuer, Rogério J. Marczak, Jakson M. Vassoler   +4 more
wiley   +1 more source

Instability and Evolution of Nonlinearly Interacting Water Waves

, 2006
We consider the modulational instability of nonlinearly interacting two-dimensional waves in deep water, which are described by a pair of two-dimensional coupled nonlinear Schroedinger equations. We derive a nonlinear dispersion relation.
B. Eliasson, C. Sulem, D. J. Benney, I. Kourakis, L. Stenflo, M. Marklund, P. K. Shukla, P. K. Shukla, R. G. Dean, V. E. Zakharov, V. E. Zakharov, V. E. Zakharov, V. I. Karpman, Y. Inoue   +13 more
core   +1 more source

Air‐Pressure–Actuated Vibroacoustic Metamaterial With Tunable Bandgap: Design, Modeling, and Characterization

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, Michael M. Becker, Sarah C. L. Fischer   +2 more
wiley   +1 more source

Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations

Advances in Difference Equations, 2020
In this paper, we introduce the concept of square-mean piecewise almost automorphic function. By using the theory of semigroups of operators and the contraction mapping principle, the existence of square-mean piecewise almost automorphic mild solutions ...
Junwei Liu, Ruihong Ren, Rui Xie
doaj   +1 more source

Dynamical systems theory for nonlinear evolution equations

, 2010
We observe that the fully nonlinear evolution equations of Rosenau and Hymann, often abbreviated as $K(n,\,m)$ equations, can be reduced to Hamiltonian form only on a zero-energy hypersurface belonging to some potential function associated with the ...
Choudhuri, Amitava, Das, Umapada, Talukdar, B   +2 more
core   +1 more source

Time-dependent nonlinear evolution equations

Differential and Integral Equations, 2002
In this paper, the following evolution inclusion is investigated: \[ \frac{du}{dt}\in A(t)u,\quad u(0)=u_0, \] where \(A(t):D(A(t))\subset X\rightarrow X\) is a nonlinear multivalued operator, \(X\) a Banach space and ...
openaire   +3 more sources

Complete Integrability of Nonlinear Evolution Equations [PDF]

Progress of Theoretical Physics, 1975
Summary: It is shown that a broad class of nonlinear evolution equations, which have been systematically discussed by Ablowitz, Kaup, Newell and Segur, can be described as the Hamiltonian systems and that these Hamiltonian systems are completely integrable.
openaire   +1 more source

Four‐Point Bending Tests at High Temperatures on Commercial MgO‐C Refractory Bricks with and Without Recyclate Considering Different Carbon Contents

Advanced Engineering Materials, EarlyView.
Four‐point bending tests are conducted in an argon atmosphere on commercial MgO‐C brick grades with and without MgO‐C recyclate from room temperature up to 1300 °C. No detrimental effect of the MgO‐C recyclates on bending strength is found. Instead, a decisive influence of the total carbon content is observed, with lower total carbon contents ...
Alexander Schramm, Lukas Knöchel, Thomas Schemmel, Christos G. Aneziris, Anja Weidner, Horst Biermann   +5 more
wiley   +1 more source

Superposition in nonlinear wave and evolution equations

, 2005
Real and bounded elliptic solutions suitable for applying the Khare-Sukhatme superposition procedure are presented and used to generate superposition solutions of the generalized modified Kadomtsev-Petviashvili equation (gmKPE) and the nonlinear cubic ...
A. Khare, A. Khare, A. Khare, D. Baldwin, F. Cooper, H. W. Schürmann, H. W. Schürmann, H. W. Schürmann, I. N. Bronstein, J. Nickel, K. Chandrasekharan, K. Weierstrass, M. Abramowitz, M. Jaworski, M. Wadati, P. G. Drazin, V. S. Serov, W. Hereman   +17 more
core   +2 more sources