Results 61 to 70 of about 48,699 (224)
Motion of Curves on Two Dimensional Surfaces and Soliton Equations [PDF]
, 1998 A connection is established between the soliton equations and curves moving in a three dimensional space $V_{3}$. The sign of the self-interacting terms of the soliton equations are related to the signature of $V_{3}$.
Gurses, Metin
core +2 more sources
Transient Antiskyrmion‐Mediated Topological Transitions in Isotropic Magnets
Advanced Science, EarlyView.A transient antiskyrmion‐mediated pathway that drives repeated stripe‐to‐skyrmion transitions is revealed, producing a net increase in topological charge in isotropic Dzyaloshinskii–Moriya interaction films. Experiments and simulations identify the antiskyrmion as a metastable excitation, enabling stochastic bitstream generation for probabilistic ...
Bingqian Dai +18 more
wiley +1 more source
, 2009 In this paper, we propose the ultra-discrete optimal velocity model, a cellular-automaton model for traffic flow, by applying the ultra-discrete method for the optimal velocity model. The optimal velocity model, defined by a differential equation, is one
A. Schadschneider +9 more
core +1 more source
Asymptotic Solitons of the Johnson Equation [PDF]
Journal of Nonlinear Mathematical Physics, 2000 We prove the existence of non-decaying real solutions of the Johnson equation, vanishing as $x\to+\infty$. We obtain asymptotic formulas as $t\to\infty$ for the solutions in the form of an infinite series of asymptotic solitons with curved lines of constant phase and varying amplitude and width.
Anders, Igor, Boutet de Monvel, Anne
openaire +2 more sources
Multi‐Soliton Microcombs Enable Ultrafast Nanometric‐Precision Ranging and Photon‐Level Detection
Advanced Science, EarlyView.Our work first demonstrates dual‐multi‐soliton ranging and confirms its multifunctional capability. The method achieves ultrafast and nanometric‐precision measurement. For practical applications, we further extend the multi‐soliton states to photon‐level ranging.
Jiawen Zhi +10 more
wiley +1 more source
M\"obius Symmetry of Discrete Time Soliton Equations
, 2002 We have proposed, in our previous papers, a method to characterize integrable discrete soliton equations. In this paper we generalize the method further and obtain a $q$-difference Toda equation, from which we can derive various $q$-difference soliton ...
Hietarinta J. +9 more
core +1 more source
Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions [PDF]
, 2011 Using time dependent nonlinear (s-wave scattering length) coupling between the components of a weakly interacting two component Bose-Einstein condensate (BEC), we show the possibility of matter wave switching (fraction of atoms transfer) between the ...
Agrawal G. P. +3 more
core +2 more sources
Near‐Infrared Cocrystal Nanofluorophore with Enhanced Two‐Photon Absorption Cross Sections
Advanced Science, EarlyView.In this study, organic cocrystal nanoparticles (BP4TC‐NPs) were prepared via a nanoprecipitation method using an amphiphilic surfactant. The resulting cocrystal nanoparticles exhibit exceptional nonlinear optical properties and bioimaging capabilities.
Liangmeng Hao +8 more
wiley +1 more source
Results in Physics, 2023 In this work, the modified auxiliary equation method (MAEM) and the Riccati–Bernoulli sub-ODE method (RBM) are used to investigate the soliton solutions of the fractional complex coupled maccari system (FCCMS).
Haiqa Ehsan +4 more
doaj +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