Results 71 to 80 of about 998,269 (325)

Quantized representation of some nonlinear integrable evolution equations on the soliton sector

, 2010
The Hirota algorithm for solving several integrable nonlinear evolution equations is suggestive of a simple quantized representation of these equations and their soliton solutions over a Fock space of bosons or of fermions.
A. R. Forsyth, D. J. Kaup, D. Korteweg, J. D. Cole, J. M. Burgers, M. Jimbo, V. E. Zakharov, Y. Hiraoka, Y. Kodama, Yair Zarmi   +9 more
core   +1 more source

Remarks on Nonlinear Evolution Equations

Journal of Mathematical Analysis and Applications, 1996
In the paper fully nonlinear evolution equations \[ {du \over dt} +A(t,u,u) = 0, \quad 0\leq t\leq T,\quad u(0) =\varphi, \] in a Banach space \(X\) are considered. Here \(T>0\), \(A\) is a nonlinear mapping of a subset \(D(A) \subset [0,T] \times X \times X\) into \(X\) and \(\varphi \in X\).
openaire   +2 more sources

On the Lightweight Potential of Laser Additive Manufactured NiTi Triply Periodic Minimal Sheet Lattices

Advanced Engineering Materials, EarlyView.
This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo, Shuo Qu, Shiming Gao, Xu Song   +3 more
wiley   +1 more source

Exact Solutions for the Modified KdV and the Generalized KdV Equations via Exp-Function Method

Journal of Mathematical Extension, 2010
An application of the Exp-function method (EFM) to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for the modified KdV equation and the generalized KdV equation.
J. Manafian Heris, M. Bagheri
doaj  

Flow invariance for perturbed nonlinear evolution equations

Abstract and Applied Analysis, 1996
Let X be a real Banach space, J=[0,a]⊂R, A:D(A)⊂X→2X\ϕ an m-accretive operator and f:J×X→X continuous. In this paper we obtain necessary and sufficient conditions for weak positive invariance (also called viability) of closed sets K⊂X for the evolution ...
Dieter Bothe
doaj   +1 more source

New approach of (G′/G)-expansion method and new approach of generalized (G′/G)-expansion method for nonlinear evolution equation

AIP Advances, 2013
In this article, new (G′/G)-expansion method and new generalized (G′/G)-expansion method is proposed to generate more general and abundant new exact traveling wave solutions of nonlinear evolution equations. The novelty and advantages of these methods is
Hasibun Naher, Farah Aini Abdullah
doaj   +1 more source

Dissipative perturbations for the K(n,n) Rosenau-Hyman equation

, 2012
Compactons are compactly supported solitary waves for nondissipative evolution equations with nonlinear dispersion. In applications, these model equations are accompanied by dissipative terms which can be treated as small perturbations.
Abassy, Antonova, Bertozzi, Bin, Biswas, Biswas, Biswas, Cardenas, Cooper, Cooper, Cooper, de Frutos, Dey, Drazin, Ebadi, Fernandez, Francisco R. Villatoro, Johnson, Julio Garralón, Kardashov, Kevorkian, Khare, Kivshar, Kivshar, Kovalev, Laila, Lamb, Ludu, McLaughlin, Mihaila, Olver, Pikovsky, Rosenau, Rosenau, Rosenau, Rosenau, Rosenau, Rosenau, Rus, Rus, Rus, Rus, Triki, Zhang   +43 more
core   +1 more source

Nonlinear Evolution Equations without Convexity

Journal of Mathematical Analysis and Applications, 1995
The purpose of this article is to prove an existence result for the Cauchy problem \(x' \in - \partial^- f(x) + F(x)\), \(x(0) = x_0\), \(x_0 \in D (\partial^- f)\), where \(f : \Omega \subset \mathbb{R}^n \to \mathbb{R} \cup \{+ \infty\}\) is a function with \(\psi\)-monotone subdifferential of order 2 such that the mapping \(x \mapsto \text{grad}^- f(
openaire   +2 more sources

The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations

, 2015
The exp(-φ(ξ))-expansion method is used as the first time to investigate the wave solution of a nonlinear dynamical system in a new double-Chain model of DNA and a diffusive predator-prey system.
M. Abdelrahman, E. Zahran, M. Khater
semanticscholar   +1 more source

Characterization of Nitinol Produced by Laser Powder Bed Fusion for Mechanical Metamaterial Applications

Advanced Engineering Materials, EarlyView.
Stabilization of L‐PBF Ni50.7Ti49.3 under low‐cycle loading was investigated. Recoverable strain after cycling was dependent on the amount of applied load. Recovery ratio was 53.4% and 35.1% at intermediate and high load, respectively. The maximum total strain reached 10.3% at a high load of 1200 MPa.
Ondřej Červinek, Jakub Hurník, Miroslav Šmíd, Ondřej Zobač, Melanie Todt, Daniel Koutný   +5 more
wiley   +1 more source