Results 71 to 80 of about 267,596 (283)

On Whitham theory for perturbed integrable equations

, 2003
Whitham theory of modulations is developed for periodic waves described by nonlinear wave equations integrable by the inverse scattering transform method associated with $2\times2$ matrix or second order scalar spectral problems.
A.M. Kamchatnov, Ablowitz, Avilov, Belokolos, El, Flaschka, Forest, Forest, Gurevich, Gurevich, Gurevich, Gurevich, Gurevich, Gurevich, Gurevich, Gurevich, Kamchatnov, Kamchatnov, Kamchatnov, Kamchatnov, Kamchatnov, Kamchatnov, Kaup, Kivshar, Myint, Pavlov, Pavlov, Strecker, Tian, Ustinov, Whitham, Zakharov, Zakharov   +32 more
core   +1 more source

Photon Avalanching Nanoparticles: The Next Generation of Upconverting Nanomaterials?

Advanced Functional Materials, EarlyView.
This Perspective outlines the mechanistic foundations that enable photon‐avalanche (PA) behavior in lanthanide nanomaterials and contrasts them with emerging application spaces and forward‐looking design strategies. By bridging threshold engineering, energy‐transfer dynamics, and materials engineering, we provide a coherent roadmap for advancing the ...
Kimoon Lee, Yunseo Kim, Hyeong‐ku Jo, Dongjoon Yoon, Byeonghyeok Im, WonJeong Yu, Eui‐Rim On, Changhwan Lee   +7 more
wiley   +1 more source

Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction

Electronic Journal of Differential Equations, 2015
In this article, we study the inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction. We obtain uniqueness, reconstruction and stability using the nodal set of eigenfunctions for the given ...
Manaf Dzh. Manafov, Abdullah Kablan
doaj  

Mixed spectral AKNS hierarchy from linear isospectral problem and its exact solutions

Open Physics, 2015
In this paper, the AKNS isospectral problem and its corresponding time evolution are generalized by embedding three coefficient functions. Starting from the generalizedAKNS isospectral problem, a mixed spectralAKNS hierarchy with variable coefficients is
Zhang Sheng, Gao Xu-Dong
doaj   +1 more source

Raman solitons in transient SRS

, 2000
We report the observation of Raman solitons on numerical simulations of transient stimulated Raman scattering (TSRS) with small group velocity dispersion. The theory proceeds with the inverse scattering transform (IST) for initial-boundary value problems
Agrawall G P, Boiti M, F Pempinelli, J Leon, J-G Caputo, Levi D, M Boiti, Newell A C, Steudel H, Wenzel R G, Yariv A   +10 more
core   +1 more source

Algorithmic Design of Disordered Networks With Arbitrary Coordination: Application to Biophotonics

Advanced Functional Materials, EarlyView.
Predictive Design of Disordered Networks: Disordered network‐like morphologies are abundant in nature, from cytoskeletal networks to bone structures and chalcogenide glasses. These structures are naturally hard to characterize. A new algorithmic tool extends the established Wooten–Weaire–Winer (WWW) algorithm to valencies above 4.
Florin Hemmann, Vincent Glauser, Ullrich Steiner, Matthias Saba   +3 more
wiley   +1 more source

Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval

Boundary Value Problems, 2011
In this paper, the vectorial Sturm-Liouville operator L Q = - d 2 d x 2 + Q ( x ) is considered, where Q(x) is an integrable m × m matrix-valued function defined on the interval [0,π] The authors prove that m ...
Chang Tsorng-Hwa, Shieh Chung-Tsun
doaj  

Spatially Modulated Morphotropic Phase Boundaries in a Compressively Strained Multiferroic Thin Film

Advanced Functional Materials, EarlyView.
ABSTRACT The coexisting rhombohedral‐like (R′, MA) and tetragonal‐like (T′, MC) monoclinic phases in compressively strained bismuth ferrite thin films exhibit exceptional piezoelectric and magnetic properties. While previous studies have largely focused on probing the morphotropic phase boundaries (MPBs) comprising ordered R′/T′ twins, their self ...
Ting‐Ran Liu, Xiangwei Guo, Sajid Husain, Maya Ramesh, Pushpendra Gupta, Darrell Schlom, Ramamoorthy Ramesh, Yu‐Tsun Shao   +7 more
wiley   +1 more source

Energy Transfer in Scattering by Rotating Potentials

, 2002
Quantum mechanical scattering theory is studied for time-dependent Schroedinger operators, in particular for particles in a rotating potential. Under various assumptions about the decay rate at infinity we show uniform boundedness in time for the kinetic
Enss, Volker, Kostrykin, Vadim, Schrader, Robert   +2 more
core   +2 more sources

Record Energy Storage Performance Metrics in Ferroelectric Hafnia‐Based Films through Heterostructure Design

Advanced Functional Materials, EarlyView.
Dielectric capacitors typically struggle to achieve both high energy storage density and high efficiency at applied voltages below 10 V. Here, we address this challenge by introducing a novel hybrid fluorite/perovskite heterostructure design that combines ultra‐high recoverable energy storage density with efficient energy release (Uf ≈ 1016 J/cm3), at ...
Ampattu R. Jayakrishnan, Nuno Estrócio, Inês Silva, Raluca Negrea, Marian C. Istrate, Koppole C. Sekhar, Luís Marques, Judith L. MacManus‐Driscoll, Ignasi Fina, Florencio Sánchez, José P. B. Silva   +10 more
wiley   +1 more source