Results 111 to 120 of about 433,700 (300)

Ring-type singular solutions of the biharmonic nonlinear Schrodinger equation

open access: yes, 2010
We present new singular solutions of the biharmonic nonlinear Schrodinger equation in dimension d and nonlinearity exponent 2\sigma+1. These solutions collapse with the quasi self-similar ring profile, with ring width L(t) that vanishes at singularity ...
Baruch G Fibich G   +10 more
core   +1 more source

Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies

open access: yesLaser &Photonics Reviews, EarlyView.
Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil   +6 more
wiley   +1 more source

Three Types Generalized Zn-Heisenberg Ferromagnet Models

open access: yesAdvances in Mathematical Physics, 2020
By taking values in a commutative subalgebra gln,C, we construct a new generalized Zn-Heisenberg ferromagnet model in (1+1)-dimensions. The corresponding geometrical equivalence between the generalized Zn-Heisenberg ferromagnet model and Zn-mixed ...
Yinfei Zhou   +3 more
doaj   +1 more source

Quantum solutions of a nonlinear Schrodinger equation

open access: yes, 2022
In the present paper, we precisely conduct a q-calculus method for the numerical solutions of PDEs. A nonlinear Schrodinger equation is considered. Instead of the classical discretization methods we consider subdomains according to q-calculus, and provide an approximate solution due to a specific value of the parameter q.
openaire   +2 more sources

Dispersion‐Less Dissipative Soliton Fiber Laser

open access: yesLaser &Photonics Reviews, EarlyView.
A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed   +2 more
wiley   +1 more source

Observation of Linear and Nonlinear Light Trapping on Topological Dislocations

open access: yesLaser &Photonics Reviews, EarlyView.
Topological dislocations are global lattice defects found in various systems ranging from crystals to photonic lattices. This work reports the first observation at optical frequencies of linear modes with tunable localization bound to edge dislocations and their nonlinear counterparts ‐ dislocation solitons. These results reveal an intriguing interplay
S. K. Ivanov   +13 more
wiley   +1 more source

First and second sharp constants in Riemannian Gagliardo–Nirenberg inequalities

open access: yesMathematische Nachrichten, EarlyView.
Abstract Let (M,g)$(M,g)$ be a smooth compact Riemannian manifold of dimension n≥2$n\ge 2$, 1
Jurandir Ceccon   +2 more
wiley   +1 more source

Universality in an information-theoretic motivated nonlinear Schrodinger equation

open access: yesJournal of Physics A: Mathematical and Theoretical, 2007
Using perturbative methods, we analyse a nonlinear generalisation of Schrodinger's equation that had previously been obtained through information-theoretic arguments. We obtain analytical expressions for the leading correction, in terms of the nonlinearity scale, to the energy eigenvalues of the linear Schrodinger equation in the presence of an ...
Parwani, R., Tabia, G.
openaire   +2 more sources

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