Results 81 to 90 of about 1,232,647 (277)
Integrable inhomogeneous NLS equations are equivalent to the standard NLS
, 2008 A class of inhomogeneous nonlinear Schrödinger equations (NLS), claiming to be novel integrable systems with rich properties continues appearing in PhysRev and PRL. All such equations are shown to be not new but equivalent to the standard NLS, which trivially explains their integrability features.
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Advanced Science, EarlyView.HfO2‐based ferroelectrics exhibit wake‐up and fatigue behaviors during electrical cycling, significantly affecting device endurance and reliability. These phenomena are governed by defect dynamics, including oxygen vacancy redistribution and charge trapping.
Hongseok Kim +6 more
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Long time behavior of the NLS-Szegő equation [PDF]
Dynamics of Partial Differential Equations, 2019 We are interested in the influence of filtering the positive Fourier modes to the integrable non linear Schr{ö}dinger equation. Equivalently, we want to study the effect of dispersion added to the cubic Szeg{ö} equation, leading to the NLS-Szeg{ö} equation on the circle $\mathbb{S}^1$\begin{equation*}i \partial\_t u + ε^α\partial\_x^2 u = Π(|u|^2 u ...
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Advanced Science, EarlyView.An α‐helical peptide, TAB12, designed to mimic the TRIM28 binding interface, competitively disrupts the TRIM28‐BRD7 interaction, thereby blocking ubiquitin‐mediated degradation of the tumor suppressor BRD7. This stabilization unleashes potent anti‐tumor effects across multiple tumor types with a favorable safety profile, offering a feasible strategy ...
Qingqing Wei +10 more
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Advanced Science, EarlyView.In human oral keratinocytes, OTUD6A promoted cell migration by deubiquitinating and stabilizing PRDX1. Conversely, OTUD6A deficiency reduced PRDX1 stability, triggering mitochondrial dysfunction and aggravating OU progression. ABSTRACT Oral ulcers (OU), as the most highly prevalent and recurrent oral mucosal lesion, have an unclear pathogenesis that ...
Xiaoyu Sun +15 more
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Electronic Journal of Differential Equations, 2009 The initial-value problem for the focusing nonlinear Schrodinger (NLS) equation is solved numerically by following the various steps of the inverse scattering transform.
Sebastiano Seatzu +2 more
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Integrable discretisations and Yang–Baxter maps for super nonlinear Schrödinger systems
Nuclear Physics BWe construct an integrable Grassmann-extended vertex-bond discrete system, which can be restricted to the Grassmann-extended Adler–Yamilov system of partial difference equations, and we derive a Darboux matrix and a Bäcklund transformation for the latter.
Sotiris Konstantinou-Rizos
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Twenty Two Parameter Deformations of the Twelfth Peregrine Breather Solutions to the NLS Equation
, 2016 International audienceThe twelfth Peregrine breather (P12 breather) solution to the focusing one dimensional nonlinear Schrödinger equation (NLS) with its twenty two real parameters deformations solutions to the NLS equation are explicitly constructed ...
Gastineau, Mickaël, Gaillard, Pierre
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RSF1‐Dependent PAR Turnover Promotes 53BP1 Liquid Condensate Formation at DNA Damage Sites
Advanced Science, EarlyView.At sites of DNA damage, RSF1 recruits PARG to accelerate PAR turnover, triggering a switch from PAR‐driven condensates to 53BP1 condensates. This condensate transition enables p53‐dependent gene transcription and coordinates the DNA damage response.
Yungyeong Heo +10 more
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The asymptotic stability of solitons in the cubic NLS equation
, 2014 We use the inverse scattering transform, the auto-Bäcklund transformation, and the steepest descent method of Deift and Zhou to obtain the asymptotic stability of the solitons in the cubic NLS (nonlinear Schrödinger ...
Pelinovsky Dmitry E., CUCCAGNA, SCIPIO
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