Results 301 to 310 of about 3,339,817 (343)

Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

, 2016
A nonlocal nonlinear Schrödinger (NLS) equation was recently introduced and shown to be an integrable infinite dimensional Hamiltonian evolution equation. In this paper a detailed study of the inverse scattering transform of this nonlocal NLS equation is
M. Ablowitz, Z. Musslimani
semanticscholar   +1 more source

Nondegenerate soliton dynamics of nonlocal nonlinear Schrödinger equation

Nonlinear dynamics, 2023
Kai-Li Geng, Bo-Wei Zhu, Qi-Hao Cao, Chao-Qing Dai, Yue‐Yue Wang   +4 more
semanticscholar   +1 more source

Breather solutions of the integrable quintic nonlinear Schrödinger equation and their interactions.

Physical review. E, Statistical, nonlinear, and soft matter physics, 2015
We present breather solutions of the quintic integrable equation of the Schrödinger hierarchy. This equation has terms describing fifth-order dispersion and matching nonlinear terms.
A. Chowdury, D. J. Kedziora, A. Ankiewicz, N. Akhmediev   +3 more
semanticscholar   +1 more source

SOME DENSITY PROFILES OF AN INHOMOGENEOUS SCHRöDINGER EQUATION

PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL), 2015
We provide some density profiles of an inhomogeneous Schrödinger equation by giving some available functions representing the inhomogeneous term. The inhomogeneous Schrödinger equation, which is achieved by reducing a set of two-coupled Gross-Pitaevskii equations, describes a motion equation of a weakly outcoupled atom laser inside the condensate ...
openaire   +1 more source

Derivation of the Schrodinger equation from Newtonian mechanics

, 1966
We examine the hypothesis that every particle of mass $m$ is subject to a Brownian motion with diffusion coefficient $\frac{\ensuremath{\hbar}}{2m}$ and no friction.
Edward Nelson
semanticscholar   +1 more source

Exact optical solitons to the perturbed nonlinear Schrödinger equation with dual-power law of nonlinearity

Optical and quantum electronics, 2020
Nestor Savaissou, B. Gambo, H. Rezazadeh, A. Bekir, S. Y. Doka, S. Y. Doka   +5 more
semanticscholar   +1 more source

An exact solution for a derivative nonlinear Schrödinger equation

, 1978
A method of solution for the ’’derivative nonlinear Schrodinger equation’’ iqt=−qxx±i (q*q2)x is presented. The appropriate inverse scattering problem is solved, and the one‐soliton solution is obtained, as well as the infinity of conservation laws. Also,
D. Kaup, A. Newell
semanticscholar   +1 more source

Soliton solutions of an integrable nonlinear Schrödinger equation with quintic terms.

Physical review. E, Statistical, nonlinear, and soft matter physics, 2014
We present the fifth-order equation of the nonlinear Schrödinger hierarchy. This integrable partial differential equation contains fifth-order dispersion and nonlinear terms related to it. We present the Lax pair and use Darboux transformations to derive
A. Chowdury, D. J. Kedziora, A. Ankiewicz, N. Akhmediev   +3 more
semanticscholar   +1 more source

Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions

, 2014
The inverse scattering transform for the focusing nonlinear Schrodinger equation with non-zero boundary conditions at infinity is presented, including the determination of the analyticity of the scattering eigenfunctions, the introduction of the ...
G. Biondini, G. Kovačič
semanticscholar   +1 more source

A Vector General Nonlinear Schrödinger Equation with (m+n) Components

Journal of nonlinear science, 2019
X. Geng, Ruomeng Li, Bo Xue
semanticscholar   +1 more source