Results 81 to 90 of about 419,406 (294)

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

Enhancing Corrosion Resistance and Mechanical Strength of 3D‐Printed Iron Polylactic Acid for Marine Applications via Laser Surface Texturing

Advanced Engineering Materials, EarlyView.
Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat, Mojtaba Karamimoghadam, Mohammadreza Lalegani Dezaki, Ali Zolfagharian, Giuseppe Casalino, Antonio Mateo, Mahdi Bodaghi   +6 more
wiley   +1 more source

Global existence of mild solutions for impulsive $ \psi- $Caputo fractional parabolic equations

Electronic Research Archive
This paper investigated a class of nonlinear $ \psi- $Caputo fractional parabolic equations with impulsive. We reformulated the fractional parabolic equations into abstract evolution equations.
Yonghong Ding, Yongxiang Li
doaj   +1 more source

Short-Time Existence for Scale-Invariant Hamiltonian Waves

, 2005
We prove short-time existence of smooth solutions for a class of nonlinear, and in general spatially nonlocal, Hamiltonian evolution equations that describe the self-interaction of weakly nonlinear scale-invariant waves. These equations include ones that
Hunter, John K.
core  

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

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 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

Composite Electrospun Fibers Containing Optimized B‐ and Cu‐Doped Bioactive Glass Sol‐Gel Particles for Potential Soft Tissue Engineering Applications

Advanced Engineering Materials, EarlyView.
This article describes the preparation and characterization of poly(ε‐caprolactone) electrospun composite fibers incorporating sol‐gel‐derived bioactive glass particles doped with B and Cu. Scanning electron microscopy, energy‐dispersive X‐ray spectroscopy, Fourier‐transform infrared spectroscopy, contact angle, acellular bioactivity, mechanical and ...
Elisa Piatti, Marta Miola, Liliana Liverani, Paolo Sartori, Enrica Verné, Aldo R. Boccaccini   +5 more
wiley   +1 more source

Time-Dependent Symmetries of Variable-Coefficient Evolution Equations and Graded Lie Algebras

, 1997
Polynomial-in-time dependent symmetries are analysed for polynomial-in-time dependent evolution equations. Graded Lie algebras, especially Virasoro algebras, are used to construct nonlinear variable-coefficient evolution equations, both in 1+1 dimensions
Bullough R K, Bullough R K, Caudrey P J, Chen H H, Cheng Y, Fokas A S, Fuchssteiner B, Fushchich (Fushchych) W I, Kac V G, Ma W X, Ma W X, Ma W X, Ma W X, Oevel W, Oevel W, Olver P J, P J Caudrey, R K Bullough, Tu G Z, W I Fushchych, W X Ma   +20 more
core   +1 more source