Results 21 to 30 of about 3,339,817 (343)

Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2020
In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
doaj   +1 more source

Two Schrödinger-like Equations for hadrons [PDF]

open access: yesEPJ Web of Conferences, 2022
In this talk, based on [1, 2], I argue that the holographic Schrödinger Equation of (3 +1)-dim, conformal light-front QCD and the ’t Hooft Equation of (1+1)-dim, large Nc QCD, can be complementary to each other in providing a first approximation to ...
Sandapen Ruben
doaj   +1 more source

Conservation laws of some lattice equations [PDF]

open access: yesFront. Math. China, 8(5) (2013) 1001-16, 2012
We derive infinitely many conservation laws for some multi-dimensionally consistent lattice equations from their Lax pairs. These lattice equations are the Nijhoff-Quispel-Capel equation, lattice Boussinesq equation, lattice nonlinear Schr\"{o}dinger equation, modified lattice Boussinesq equation, Hietarinta's Boussinesq-type equations, Schwarzian ...
arxiv   +1 more source

The Calderón problem for the fractional Schrödinger equation [PDF]

open access: yes, 2016
We show global uniqueness in an inverse problem for the fractional Schrodinger equation: an unknown potential in a bounded domain is uniquely determined by exterior measurements of solutions.
T. Ghosh, M. Salo, G. Uhlmann
semanticscholar   +1 more source

Study of Attractive Nonlinearity by 1-D Nonlinear Schrödinger Equation in the Bose–Einstein Condensate

open access: yesJournal of Bangladesh Academy of Sciences, 1970
The work represents and investigates the stationary solutions of the one-dimensional Non-linear Schrödinger Equation (NLSE), for attractive non-linearity, in the Bose-Einstein condensates (BEC) under the box boundary condition and calculates the characteristics of internal modes of bright solitons (eigen modes of small perturbation of the condensate ...
MM Hossain   +4 more
openaire   +3 more sources

Soliton Resolution for the Derivative Nonlinear Schrödinger Equation [PDF]

open access: yes, 2017
We study the derivative nonlinear Schrödinger equation for generic initial data in a weighted Sobolev space that can support bright solitons (but exclude spectral singularities).
R. Jenkins   +3 more
semanticscholar   +1 more source

The Approximation Property of a One-Dimensional, Time Independent Schrödinger Equation with a Hyperbolic Potential Well

open access: yesMathematics, 2020
A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
doaj   +1 more source

Perturbation of One-Dimensional Time-Independent Schrödinger Equation with a Near-Hyperbolic Potential

open access: yesAxioms, 2022
The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
doaj   +1 more source

Dynamics of higher-order rational solitons for the nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential. [PDF]

open access: yesChaos, 2016
The integrable nonlocal nonlinear Schrödinger equation with the self-induced parity-time-symmetric potential [M. J. Ablowitz and Z. H. Musslimani, Phys. Rev. Lett.
Xiaoyong Wen, Zhenya Yan, Yunqing Yang
semanticscholar   +1 more source

Short distance modification of the quantum virial theorem

open access: yesPhysics Letters B, 2017
In this letter, we will analyse the deformation of a semi-classical gravitational system from minimal measurable length scale. In the semi-classical approximation, the gravitational field will be analysed as a classical field, and the matter fields will ...
Qin Zhao, Mir Faizal, Zaid Zaz
doaj   +1 more source

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