Results 171 to 180 of about 428,921 (359)

Observation of Linear and Nonlinear Light Trapping on Topological Dislocations

Laser &Photonics Reviews, EarlyView.
Topological dislocations are global lattice defects found in various systems ranging from crystals to photonic lattices. This work reports the first observation at optical frequencies of linear modes with tunable localization bound to edge dislocations and their nonlinear counterparts ‐ dislocation solitons. These results reveal an intriguing interplay
S. K. Ivanov, A. V. Kireev, K. Sabour, N. S. Kostyuchenko, S. A. Zhuravitskii, N. N. Skryabin, I. V. Dyakonov, A. A. Kalinkin, V. O. Kompanets, S. P. Kulik, S. V. Chekalin, A. Ferrando, V. N. Zadkov, Y. V. Kartashov   +13 more
wiley   +1 more source

Eigenvalue problems for nonlinear elliptic equations with unilateral constraints

, 2007
Michael Ε. Filippakis, Nikolaos S. Papageorgiou, Vasile Staicu   +2 more
openalex   +1 more source

On the Number of Blowing-Up Solutions to a Nonlinear Elliptic Equation with Critical Growth [PDF]

, 2007
Anna Maria Micheletti, Angela Pistoia, Daniela Visetti   +2 more
openalex   +1 more source

The Dirichlet problem for nonlinear elliptic equations [PDF]

Pacific Journal of Mathematics, 1955
openaire   +3 more sources

Pohozaev identities and their applications to nonlinear elliptic equations

, 2016
Cao Daomin, Peng Shuangjie, Wang Qingfang   +2 more
semanticscholar   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Advanced soliton structures and elliptic wave patterns in a sixth-order nonlinear Schrödinger equation using improved modified extended tanh function method. [PDF]

Sci Rep
Fahim MM, Ahmed HM, Dib KA, Samir I.
europepmc   +1 more source

Inner‐Layer Asymptotics in Partially Perforated Domains: Coupling Across Flat and Oscillating Interfaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley   +1 more source

Periodic structures of solitons and shock wave solutions in the fractional nonlinear Shynaray-IIA equation via a generalized analytical method. [PDF]

Sci Rep
Iqbal M, Khan MI, Alrashdi HD, Algethamie R, Alomari FAH, Aljohani A, Mohammad N, Aljawi S.   +7 more
europepmc   +1 more source

RF‐Shielding of Laser‐Cut Venous Stents: Calculations, Simulations, and Experiments

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To develop an analytical model of the RF‐shielding of laser‐cut venous stents for different orientations and stent geometries. Methods Laser‐cut venous stents are modeled as a grid composed of circular and rectangular loops. As these loops are orthogonal they shield different components of the transmit RF field.
Lisa Regler, Felix Spreter, Kian Tadjalli Mehr, Niklas Verloh, Klaus Düring, Wibke Uller, Michael Bock, Simon Reiss   +7 more
wiley   +1 more source