Results 71 to 80 of about 7,153,382 (318)

Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid

Heliyon, 2018
Two nonlinear evolution equations, namely the Kadomtsev-Petviashvili (KP) equation which describes the dynamics of soliton and nonlinear wave in the field of fluid dynamics, plasma physics and the Oskolkov equation which describes the dynamics of an ...
Md. Mamunur Roshid, Harun-Or Roshid
doaj   +1 more source

Nonlinear Schrödinger equation: generalized Darboux transformation and rogue wave solutions. [PDF]

Physical review. E, Statistical, nonlinear, and soft matter physics, 2011
In this paper, we construct a generalized Darboux transformation for the nonlinear Schrödinger equation. The associated N-fold Darboux transformation is given in terms of both a summation formula and determinants.
Boling Guo, Liming Ling, Q. P. Liu
semanticscholar   +1 more source

Wave equation with concentrated nonlinearities

, 2004
In this paper we address the problem of wave dynamics in presence of concentrated nonlinearities. Given a vector field $V$ on an open subset of $\CO^n$ and a discrete set $Y\subset\RE^3$ with $n$ elements, we define a nonlinear operator $\Delta_{V,Y}$ on
Adami R, Albeverio S, Albeverio S, Alinhac S, Andrea Posilicano, Caffarelli L A, Diego Noja, Hille E, Hörmander L, Kurasov P, Merle F, Noja D, Noja D, Noja D, Shatah J, Teta A, Walter W   +16 more
core   +3 more sources

Innovating Aircraft Repair Processes: The Role of Digitalization in Sustainability

Advanced Engineering Materials, EarlyView.
This research explores how digitalization—by storing detailed non‐destructive testing data in structured DICONDE databases and creating a standard data model of the component—innovates aviation maintenance and repair processes. Coupled with a developed state‐based simulation model, it enables data‐driven, sustainable repair strategies that reduce waste,
Johanna Aigner, Geo Jacob, Florian Raddatz, Gerko Wende   +3 more
wiley   +1 more source

Numerical Investigation of a Dual‐Mode Shape Memory Alloy Stent Enabling Secondary Expansion via Focused Ultrasound: A Potential Strategy for Correcting In‐Stent Restenosis

Advanced Engineering Materials, EarlyView.
This study demonstrates a novel noninvasive strategy to treat in‐stent restenosis using focused ultrasound. A shape memory alloy stent initially expands at body temperature. If restenosis occurs, targeted ultrasound heating thermally actuates the stent, enabling a secondary expansion to reopen the blocked vessel, offering a potential alternative to ...
Stephen Asare, Lucinda Duncan, Josiah Owusu‐Danquah, Brian L. Davis   +3 more
wiley   +1 more source

Further investigations to extract abundant new exact traveling wave solutions of some NLEEs

Journal of Ocean Engineering and Science, 2019
In this study, we implement the generalized (G′/G)-expansion method established by Wang et al. to examine wave solutions to some nonlinear evolution equations. The method, known as the double (G′/G, 1/G)-expansion method is used to establish abundant new
M. Mamun Miah, Aly R. Seadawy, H.M. Shahadat Ali, M. Ali Akbar   +3 more
doaj   +1 more source

The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation

, 2013
The fractional partial differential equations stand for natural phenomena all over the world from science to engineering. When it comes to obtaining the solutions of these equations, there are many various techniques in the literature. Some of these give
H. Bulut, H. Baskonus, Y. Pandır
semanticscholar   +1 more source

Laser Powder Bed Fusion of Copper–Tungsten Composites for Heat Sink Applications in High‐Power Electronics

Advanced Engineering Materials, EarlyView.
This article demonstrates the successful qualification of a copper–tungsten composite for laser powder bed fusion. The resulting components exhibited high density, high thermal conductivity, and reduced thermal expansion. Heat sinks with complex geometries were successfully manufactured, clearly showcasing the material's potential for additive ...
Simon Rauh, Shashank Deepak Prabhu, Jannik Huber, Lioba Fischer, Gerhard Wolf, Nico Hempel, Peter Mayr   +6 more
wiley   +1 more source

Duplex Stainless Steel Laser‐Surface Textured: Stability in Brine Solution

Advanced Engineering Materials, EarlyView.
Controlled laser‐surface treatment (LST) of duplex DSS2205 steel is performed to increase its stability in brine solution under cyclic electrochemical assays. The superior protection with respect to flat and smooth panels is attributed to the presence of FeCr2O4 as the main protective oxide layer in the LST surface, after corrosion tests. The stability
Mohammad Rezayat, Hamidreza Enshaei, Elaine Armelin, José I. Iribarren, Antonio Mateo, Miguel Morales   +5 more
wiley   +1 more source

Compressible Flow Exfoliation of Two‐Dimensional Nanomaterials: Insights Into Layer Separation Informed by Gas Dynamics

Advanced Engineering Materials, EarlyView.
This study elucidates the mechanism of compressible flow exfoliation for producing 2D hexagonal boron nitride (h‐BN). Fluid dynamics analysis reveals that acceleration‐driven aerodynamic shear forces, rather than shock waves alone, drive effective layer separation.
Md Farhadul Islam, Saeed Arabha, Ray Hixon, Reza Rizvi   +3 more
wiley   +1 more source