Non-commutative NLS-type hierarchies: dressing & solutions [PDF]
, 2019 We consider the generalized matrix non-linear Schrodinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Doikou, Anastasia +2 more
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On the orbital instability of excited states for the NLS equation with the $\delta$-interaction on a star graph [PDF]
, 2017 We study the nonlinear Schrodinger equation (NLS) on a star graph $\mathcal{G}$. At the vertex an interaction occurs described by a boundary condition of delta type with strength $\alpha\in \mathbb{R}$.
J. Pava, Nataliia Goloshchapova
semanticscholar +1 more source
The focusing cubic NLS with inverse-square potential in three space dimensions [PDF]
Differential and Integral Equations, 2016 We consider the focusing cubic nonlinear Schr\"odinger equation with inverse-square potential in three space dimensions. We identify a sharp threshold between scattering and blowup, establishing a result analogous to that of Duyckaerts, Holmer, and ...
R. Killip +3 more
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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
Integrable Hierarchies and Information Measures
, 2007 In this paper we investigate integrable models from the perspective of information theory, exhibiting various connections. We begin by showing that compressible hydrodynamics for a one-dimesional isentropic fluid, with an appropriately motivated ...
Ablowitz M +13 more
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Random data final-state problem for the mass-subcritical NLS in $L^2$ [PDF]
Proceedings of the American Mathematical Society, 2017 We study the final-state problem for the mass-subcritical NLS above the Strauss exponent. For $u_+\in L^2$, we perform a physical-space randomization, yielding random final states $u_+^\omega\in L^2$.
Jason Murphy
semanticscholar +1 more source
Rational soliton solutions of nonlocal multicomponent nonlinear Schrödinger equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, we present a generalized Darboux transformation for nonlocal multicomponent nonlinear Schrödinger (NLS) equations. Also, we provide a unified formula for Nth-order rational soliton solution of discussed nonlocal multicomponent NLS ...
Li-Na Zheng, Yu-Shan Bai
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On the modulation instability development in optical fiber systems
, 2010 Extensive numerical simulations were performed to investigate all stages of modulation instability development from the initial pulse of pico-second duration in photonic crystal fiber: quasi-solitons and dispersive waves formation, their interaction ...
A. I. Dyachenko +20 more
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Pre-crop Values From Satellite Images for Various Previous and Subsequent Crop Combinations
Frontiers in Plant Science, 2019 Monocultural land use challenges sustainability of agriculture. Pre-crop value indicates the benefits of a previous crop for a subsequent crop in crop sequencing and facilitates diversification of agricultural systems.
Pirjo Peltonen-Sainio +6 more
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Symmetry broken and unbroken solutions of nonlocal NLS equation in 2+1 dimensions
Results in Physics, 2020 In this paper, we study a general nonlinear Schrödinger (NLS) equation in 2+1 dimensions which under appropriate nonlocal symmetry reduction leads to reverse space nonlocal NLS equation. We apply Darboux transformation and construct multiple solutions of
H. Sarfraz, U. Saleem
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