Results 31 to 40 of about 26,669 (259)

The Dirichlet Problem for the Perturbed Elliptic Equation

Mathematics, 2020
In this paper, the authors consider the construction of one class of perturbed problems to the Dirichlet problem for the elliptic equation. The operators of both problems are isospectral, which makes it possible to construct solutions to the perturbed ...
Ulyana Yarka, Solomiia Fedushko, Peter Veselý   +2 more
doaj   +1 more source

Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization.

PLoS ONE
By using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
doaj   +1 more source

Solitons and Jacobi Elliptic Function Solutions to the Complex Ginzburg–Landau Equation

Frontiers in Physics, 2020
The complex Ginzburg–Landau (CGL) equation which describes the soliton propagation in the presence of the detuning factor is firstly considered; then its solitons as well as Jacobi elliptic function solutions are obtained systematically using a modified ...
Kamyar Hosseini, Mohammad Mirzazadeh, M. S. Osman, M. S. Osman, Maysaa Al Qurashi, Dumitru Baleanu, Dumitru Baleanu   +6 more
doaj   +1 more source

A Study on Commutative Elliptic Octonion Matrices

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic octonions. Also, the notions of
Sürekçi Arzu Cihan, Güngör Mehmet Ali   +1 more
doaj   +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

Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics

Journal of Applied Mathematics, 2012
We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
doaj   +1 more source

Manufacturing Continuous Fiber‐Reinforced Printing Filaments: Development of a Post‐Consolidation Unit

Advanced Engineering Materials, EarlyView.
A novel, temperature‐controlled post‐consolidation unit is developed to test its potential to improve the melt impregnation process used to manufacture continuous fiber‐reinforced filaments for additive manufacturing of high‐performance thermoplastics.
Daniel Beermann, Patrick Schiebel, David May   +2 more
wiley   +1 more source

Unidirectional Tape‐Based Composites from Hemp and Pineapple Leaf Fiber: Mechanical Performance in Conventional and Bio‐Based Matrices

Advanced Engineering Materials, EarlyView.
The study investigates novel semi‐finished products made of unidirectionally arranged hemp or pineapple leaf fiber‐reinforced composites produced from different matrices. The materials are analyzed in terms of their mechanical and interfacial properties and void content.
Nina Graupner, Raja Bade, Valentin Ackermann, Roja M. Baumann, Corvin Bischoff, Jona F. Ebeling, Oskar Glenz, Marlo Groh, Jonathan Groth, Finja Hiller, Tom Hirschmüller, Felix Menke, Syntcha Ngantchou Lecdou, Mika Ohler, Daniel Rafii Vardiny, Darius Richter, Dario Röper, Henrik Schumacher, Theresa Stein, Benjamin Vorbeck, Elisabeth Wermter, Kay Kölzig, Jörg Müssig   +22 more
wiley   +1 more source

Solution of the Basic Boundary Value Problems for a Degenerate Elliptic Equation by the Method of Potentials [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2015
Fundamental solutions to a degenerate elliptic equation are found. Using these fundamental solutions, simple and double layer potentials are built.
R.M. Askhatov, R.N. Abaydullin
doaj  

Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations

Abstract and Applied Analysis, 2014
The auxiliary equation method proposed by Sirendaoreji is extended to construct new types of elliptic function solutions of nonlinear evolution equations.
Gui-qiong Xu
doaj   +1 more source