The minimal N = 2 superextension of the NLS equation [PDF]
Physics Letters B, 1995 We show that the well known $N=1$ NLS equation possesses $N=2$ supersymmetry and thus it is actually the $N=2$ NLS equation. This supersymmetry is hidden in terms of the commonly used $N=1$ superfields but it becomes manifest after passing to the $N=2$ ones.
Krivonos, S., Sorin, A.
openaire +2 more sources
On the derivation of the wave kinetic equation for NLS [PDF]
Forum of Mathematics, Pi, 2021 AbstractA fundamental question in wave turbulence theory is to understand how the wave kinetic equation describes the long-time dynamics of its associated nonlinear dispersive equation. Formal derivations in the physics literature, dating back to the work of Peierls in 1928, suggest that such a kinetic description should hold (for well-prepared random ...
Yu Deng, Zaher Hani
openaire +3 more sources
Well-posedness of the three-dimensional NLS equation with sphere-concentrated nonlinearity [PDF]
, 2023 We discuss strong local and global well-posedness for the three-dimensional NLS equation with nonlinearity concentrated on $\mathbb{S}^2$. Precisely, local well-posedness is proved for any $C^2$ power-nonlinearity, while global well-posedness is obtained
Finco, Domenico +8 more
core +1 more source
Unconditional uniqueness for the energy-critical nonlinear Schrödinger equation on $\mathbb {T}^{4}$
Forum of Mathematics, Pi, 2022 We consider the $\mathbb {T}^{4}$ cubic nonlinear Schrödinger equation (NLS), which is energy-critical. We study the unconditional uniqueness of solutions to the NLS via the cubic Gross–Pitaevskii hierarchy, an uncommon method for NLS analysis which is ...
Xuwen Chen, Justin Holmer
doaj +1 more source
On the Fractional NLS Equation and the Effects of the Potential Well’s Topology [PDF]
Advanced Nonlinear Studies, 2020 Abstract In this paper we consider the fractional nonlinear Schrödinger equation
Silvia Cingolani, Marco Gallo
openaire +5 more sources
Nonlinear Wave Equations for Pressure Wave Propagation in Liquids Containing Gas Bubbles
Journal of Fluid Science and Technology, 2011 Based on the unified theory by the present authors (Kanagawa et al., J. Fluid Sci. Tech., 5, 2010), the Korteweg-de Vries-Burgers (KdVB) equation and the nonlinear Schrödinger (NLS) equation with an attenuation term for weakly nonlinear waves in ...
Tetsuya KANAGAWA +3 more
doaj +1 more source
Rogue waves in the two dimensional nonlocal nonlinear Schrödinger equation and nonlocal Klein-Gordon equation. [PDF]
PLoS ONE, 2018 In this paper, we investigate two types of nonlocal soliton equations with the parity-time (PT) symmetry, namely, a two dimensional nonlocal nonlinear Schrödinger (NLS) equation and a coupled nonlocal Klein-Gordon equation.
Wei Liu, Jing Zhang, Xiliang Li
doaj +1 more source
Parallel Methods and Higher Dimensional NLS Equations [PDF]
Abstract and Applied Analysis, 2013 Alternating direction implicit (ADI) schemes are proposed for the solution of the two-dimensional coupled nonlinear Schrödinger equation. These schemes are of second- and fourth-order accuracy in space and second order in time. The resulting schemes in each ADI computation step correspond to a block tridiagonal system which can be solved by using one ...
Ismail, M. S., Taha, T. R.
openaire +3 more sources
On the continuous resonant equation for NLS: II. Statistical study [PDF]
, 2015 23 pagesInternational audienceWe consider the continuous resonant (CR) system of the 2D cubic nonlinear Schrödinger (NLS) equation. This system arises in numerous instances as an effective equation for the long-time dynamics of NLS in confined regimes (e.
Thomann, Laurent +2 more
core +2 more sources
NLS-EDC4 localizes to Cajal bodies, and adjacent to PML-nuclear bodies.
, 2023 A plasmid encoding green fluorescent protein (GFP) fused to the nuclear localization sequence (NLS) of SV40 T antigen and full length EDC4 was transfected into HEp-2 cells.
Claire O. Sinow (14725282) +3 more
core +1 more source