Results 61 to 70 of about 1,721 (138)

Quantum states of dark solitons in the 1D Bose gas

New Journal of Physics, 2016
We present a series of quantum states that are characterized by dark solitons of the nonlinear Schrödinger equation (i.e. the Gross–Pitaevskii equation) for the one-dimensional Bose gas interacting through the repulsive delta-function potentials.
Jun Sato, Rina Kanamoto, Eriko Kaminishi, Tetsuo Deguchi   +3 more
doaj   +1 more source

The general integrable inhomogeneous Dirac–Manakov equations: Darboux-dressing transformation and N-soliton solutions

Nuclear Physics B
By means of the zero-curvature equation and two sets of Lenard recursion sequences, we construct a nonisospectral generalized 3 × 3 Ablowitz–Kaup–Newell–Segur (AKNS) integrable hierarchy.
Jiao Wei, Xin Wang, Yanpei Zhen, Chendi Zhu, Tengjin Zhao   +4 more
doaj   +1 more source

A Matrix Integrable Enlargement of the DNLS Soliton Hierarchy Incorporating Two Diagonal Matrix Blocks

Mathematics
This paper presents a four-component integrable extension of the derivative nonlinear Schrödinger (DNLS) soliton hierarchy, namely, the Kaup–Newell hierarchy of soliton equations. Motivated by a general extension idea for the Kaup–Newell spectral matrix,
Wen-Xiu Ma
doaj   +1 more source

Estimation of the Attraction Domain for the Quantum Systems Based on the Schrödinger Equation

Axioms
This paper investigates a quantum system described by the Schrödinger equation, utilizing the concept of the quantum Lyapunov function. The Lyapunov function is chosen based on the mean value of a virtual mechanical quantity, where different values of P,
Hongli Yang, Guohui Yu, Ivan Ganchev Ivanov   +2 more
doaj   +1 more source

Painlevé-Type Asymptotics for n-Component Coupled Higher-Order Nonlinear Schrödinger Equation in Transition Region

Mathematics
In this paper, we investigate the long-term asymptotic behavior of solutions to the Cauchy problem for the n-component coupled higher-order nonlinear Schrödinger (nC-HNLS) equation on a line with decaying initial data.
Yixin Bao, Chaosheng Zhang, Wenxia Chen
doaj   +1 more source

A Real Four-Component Integrable Extension of the Standard Kaup–Newell Hierarchy with Two Diagonal Blocks

Axioms
This paper aims to introduce a real four-component integrable extension of the complex Kaup–Newell soliton hierarchy. Following a general idea for extending the standard Kaup–Newell spectral matrix, we propose a specific matrix eigenvalue problem ...
Wen-Xiu Ma
doaj   +1 more source

Optical solitons and their propagations in a time-varying coefficient modified nonlinear Schrödinger equation with non-zero boundary conditions via Riemann–Hilbert method

Results in Physics
In this article, a time-varying coefficient modified nonlinear Schrödinger equation (tvcmNLSE) with non-zero boundary conditions (NZBCs) at infinity, phase term of which contains time-varying coefficients, is proposed to describe the nonlinear ...
Xiuyan Wei, Yinan Chen, Sheng Zhang
doaj   +1 more source

Supervised machine learning prediction and investigation of nonlinear optical rectification in Ge/Si0.15Ge0.85 asymmetric coupled triangle quantum wells

Results in Engineering
Nonlinear optical rectification (NOR) is a fundamental process in the design and engineering of photonic devices. Predicting the NOR coefficient in the Ge/Si0.15Ge 0.85 asymmetric double triangle quantum wells (ADTQWs) structures contributes ...
A. Cherni, N. Yahyaoui, N. Zeiri, M.L. Bouazizi, M.Al. Zahrani   +4 more
doaj   +1 more source

Hamiltonian Computational Chemistry: Geometrical Structures in Chemical Dynamics and Kinetics

Entropy
The common geometrical (symplectic) structures of classical mechanics, quantum mechanics, and classical thermodynamics are unveiled with three pictures.
Stavros C. Farantos
doaj   +1 more source

Linearly Implicit Finite Element Methods Approximating the Solution to the Nonlinear Schrödinger Equation with a Schamel-Type Nonlinearity. [PDF]

J Sci Comput
Paraschis P, Zouraris GE.
europepmc   +1 more source