Results 51 to 60 of about 157,319 (379)
$N$-Bright-Dark Soliton Solution to a Semi-Discrete Vector Nonlinear Schr\"odinger Equation [PDF]
, 2017 In this paper, a general bright-dark soliton solution in the form of Pfaffian is constructed for an integrable semi-discrete vector NLS equation via Hirota's bilinear method.
Feng, Bao-Feng, Ohta, Yasuhiro
core +3 more sources
A new proof of scattering below the ground state for the non-radial focusing NLS [PDF]
, 2017 We revisit the scattering result of Duyckaerts, Holmer, and Roudenko for the non-radial $\dot H^{1/2}$-critical focusing NLS. By proving an interaction Morawetz inequality, we give a simple proof of scattering below the ground state in dimensions $d\geq ...
B. Dodson, Jason Murphy
semanticscholar +1 more source
Formal Diagonalisation of Lax-Darboux Schemes
Моделирование и анализ информационных систем, 2015 We discuss the concept of Lax-Darboux scheme and illustrate it on well known examples associated with the Nonlinear Schro¨dinger (NLS) equation. We explore the Darboux links of the NLS hierarchy with the hierarchy of Heisenberg model, principal chiral ...
A. V. Mikhailov
doaj +1 more source
Global wellposedness of NLS in $H^1(\mathbb{R}) + H^s(\mathbb{T})$ [PDF]
arXiv, 2021 We show global wellposedness for the defocusing cubic nonlinear Schr\"odinger equation (NLS) in $H^1(\mathbb{R}) + H^{3/2+}(\mathbb{T})$, and for the defocusing NLS with polynomial nonlinearities in $H^1(\mathbb{R}) + H^{5/2+}(\mathbb{T})$. This complements local results for the cubic NLS and global results for the quadratic NLS in this hybrid setting.
arxiv
Quantum Integrability of Certain Boundary Conditions [PDF]
, 1998 We study the quantum integrability of the O(N) nonlinear $\sigma$ (nls) model and the O(N) Gross-Neveu (GN) model on the half-line. We show that the \nls model is integrable with Neumann, Dirichlet and a mixed boundary condition, and that the GN model is
De Martino, A., Moriconi, M.
core +5 more sources
FUS-NLS/Transportin 1 complex structure provides insights into the nuclear targeting mechanism of FUS and the implications in ALS. [PDF]
PLoS ONE, 2012 The C-terminal nuclear localization sequence of FUsed in Sarcoma (FUS-NLS) is critical for its nuclear import mediated by transportin (Trn1). Familial amyotrophic lateral sclerosis (ALS) related mutations are clustered in FUS-NLS.
Chunyan Niu +6 more
doaj +1 more source
Approach to Equilibrium for the Stochastic NLS [PDF]
Communications in Mathematical Physics, 2013 We study the approach to equilibrium, described by a Gibbs measure, for a system on a $d$-dimensional torus evolving according to a stochastic nonlinear Schr dinger equation (SNLS) with a high frequency truncation. We prove exponential approach to the truncated Gibbs measure both for the focusing and defocusing cases when the dynamics is constrained ...
W.-M. Wang +2 more
openaire +4 more sources
Frontiers in Microbiology, 2021 Interferon exerts its antiviral activity by stimulating the expression of antiviral proteins. These interferon stimulate genes (ISGs) often target a group of viruses with unique molecular mechanisms.
Keli Chai +10 more
doaj +1 more source
Journal of Nanobiotechnology, 2018 BackgroundGene therapy has been developed and used in medical treatment for many years, especially for the enhancement of endothelialization and angiogenesis.
Qian Li +7 more
semanticscholar +1 more source
The derivative NLS equation: global existence with solitons [PDF]
, 2017 We extend the global existence result for the derivative NLS equation to the case when the initial datum includes a finite number of solitons. This is achieved by an application of the B\"{a}cklund transformation that removes a finite number of zeros of ...
Yusuke Shimabukuro +2 more
semanticscholar +1 more source