Results 61 to 70 of about 2,764,787 (227)
Partial Differential Equations in Applied Mathematics, 2023 Recently, mathematicians, engineers, and scientists have explored the unique characteristics and potential applications of multi-solitons, which is an expanding domain of study.
A. K. M. Kazi Sazzad Hossain +1 more
doaj +1 more source
Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics
Advanced Science, EarlyView.Machine learning molecular dynamics is presented as a route to capture polarization switching, domain wall kinetics, topological polar textures, and polar mechanical coupling beyond the limits of conventional atomistic methods. This Perspective surveys recent progress and identifies key methodological directions, including long‐range electrostatics ...
Dongyu Bai +3 more
wiley +1 more source
Self-pulsing dynamics in a cavity soliton laser [PDF]
, 2010 The dynamics of a broad-area vertical-cavity surface-emitting laser (VCSEL) with frequency-selective feedback supporting bistable spatial solitons is analyzed experimentally and theoretically. The transient dynamics of a switch-on of a soliton induced by
Oppo, G. -L. +4 more
core +3 more sources
Partial Differential Equations in Applied MathematicsThe study of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) has gained prominence recently because of its ability to realistically recreate complex physical processes. Numerous mathematical techniques have been devised
Muhammad Bilal +5 more
doaj +1 more source
Structural Colors from Modulated Topological Defects in Molecular Smectic Liquid Crystals
Advanced Science, EarlyView.Rather than using dyes and pigments, nature produces the colors of some butterflies and beetles through optical interference phenomena. This study describes an original biomimetic strategy exploiting the spontaneous formation of modulated linear defects in thin films of 8CB, a common molecular liquid crystal.
Camille N. Mahyaoui +7 more
wiley +1 more source
Solitary-wave solutions of the Degasperis-Procesi equation by means of the homotopy analysis method [PDF]
, 2010 The homotopy analysis method is applied to the Degasperis-Procesi equation in order to find analytic approximations to the known exact solitary-wave solutions for the solitary peakon wave and the family of solitary smooth-hump waves.
Abbasbandy, S., Parkes, E.J.
core +4 more sources
Advanced Science, EarlyView.An electro‐templating strategy directs the relaxation of cholesteric finger loops into discrete concentric rings whose geometry is electrically programmed. The photopolymerized structures retain the topological defect pattern and, upon heating, show reversible, castle‐like surface modulation.
Jacques A. Peixoto +4 more
wiley +1 more source
Advanced Science, EarlyView.Freestanding oxide membranes transform twistronics by enabling deterministic stacking, strain release, and integration with two‐dimensional materials. A unified framework links local atomic registry to structural reconstruction, polar textures, charge modulation, flat bands, and magnetic responses, while identifying the fabrication and characterization
Puneet Kaur, Rahul, Jan‐Chi Yang
wiley +1 more source
Spectral continuation study of the temporally periodic solitons of the damped-driven nonlinear Schrödinger equations [PDF]
, 2012 Includes abstract.Includes bibliographical references.In this thesis we develop and employ a spectral continuation algorithm, implemented in AUTO, to study the temporally periodic spatially localised soliton solutions of the driven, damped nonlinear ...
Lee-Thorpe, James
core +1 more source
Advancing Energy Materials by In Situ Atomic Scale Methods
Advanced Energy Materials, Volume 15, Issue 11, March 18, 2025.Progress in in situ atomic scale methods leads to an improved understanding of new and advanced energy materials, where a local understanding of complex, inhomogeneous systems or interfaces down to the atomic scale and quantum level is required. Topics from photovoltaics, dissipation losses, phase transitions, and chemical energy conversion are ...
Christian Jooss +21 more
wiley +1 more source