Results 51 to 60 of about 3,339,817 (343)
We derive the solitonic solution of the nonlinear Schrödinger equation with cubic nonlinearity, complex potentials, and time-dependent coefficients using the Darboux transformation.
H. Chachou Samet+3 more
doaj +1 more source
Fractional Schrödinger equation in optics. [PDF]
In quantum mechanics, the space-fractional Schrödinger equation provides a natural extension of the standard Schrödinger equation when the Brownian trajectories in Feynman path integrals are replaced by Levy flights.
S. Longhi
semanticscholar +1 more source
Computational Modeling of Reticular Materials: The Past, the Present, and the Future
Reticular materials are advanced materials with applications in emerging technologies. A thorough understanding of material properties at operating conditions is critical to accelerate the deployment at an industrial scale. Herein, the status of computational modeling of reticular materials is reviewed, supplemented with topical examples highlighting ...
Wim Temmerman+3 more
wiley +1 more source
Structural and CLIC unclear localisation sequence binding differences between mouse Importin α1 (grey) and human Importin α1 (green) show conformational and sequence differences between the two structures. Nonetheless, the major binding pocket of Impα for interacting with cargo NLSs is highly conserved. Abstract Chloride intracellular channel proteins (
Olga Færch+3 more
wiley +1 more source
This article studies the generalized nonlinear Schrödinger equation, which is used to simulate the propagation model of optical pulses in Non-Kerr medium.
Kun Zhang, Zhao Li
doaj
The weakest nontrivial idempotent equations [PDF]
An equational condition is a set of equations in an algebraic language, and an algebraic structure satisfies such a condition if it possesses terms that meet the required equations. We find a single nontrivial equational condition which is implied by any nontrivial idempotent equational condition.
arxiv +1 more source
New Coalescences for the Painlevé Equations [PDF]
The Painlev\'e equations are here connected to other classes of equations with the Painlev\'e Property (Ince's equations) by the same degeneracy procedure that connects the Painlev\'e equations (coalescence). These Ince's equations here are also connected among themselves like in the traditional Painlev\'e's coalescence cascade.
arxiv
Propagation Dynamics of a Light Beam in a Fractional Schrödinger Equation. [PDF]
The dynamics of wave packets in the fractional Schrödinger equation is still an open problem. The difficulty stems from the fact that the fractional Laplacian derivative is essentially a nonlocal operator.
Yiqi Zhang+5 more
semanticscholar +1 more source
The GaN‐based multichannel heterostructures with larger band conduction difference own better temperature stability. And lattice‐matched heterostructures can improve the temperature stability of the 2D electron gas in the bottom channel. Abstract In this study, 2 electron gas(2DEG) behaviors in Al0.28Ga0.72N/GaN multichannel heterostructures with doped
Wentao Zhang+7 more
wiley +1 more source
Using Aichinger's equation to characterize polynomial functions [PDF]
Aichinger's equation is used to give simple proofs of several well-known characterizations of polynomial functions as solutions of certain functional equations. Concretely, we use that Aichinger's equation characterizes polynomial functions to solve, for arbitrary commutative groups, Ghurye-Olkin's functional equation, Wilson's functional equation, the
arxiv