Gap solitons and their linear stability in one-dimensional periodic media

2011 ◽  
Vol 240 (12) ◽  
pp. 1055-1068 ◽  
Author(s):  
Guenbo Hwang ◽  
T.R. Akylas ◽  
Jianke Yang
Keyword(s):  
Linear Stability ◽  
Periodic Media ◽  
One Dimensional ◽  
Gap Solitons

Gap solitons and transmissivity of one-dimensional asymmetric systems

1993 ◽  
Vol 47 (10) ◽  
pp. 5748-5755 ◽  
Author(s):  
J. M. Bilbault ◽  
C. Tatuam Kamga ◽  
M. Remoissenet
Keyword(s):  
One Dimensional ◽  
Gap Solitons

A Linear Stability Analysis for an Improved One-Dimensional Two-Fluid Model

2003 ◽  
Vol 125 (2) ◽  
pp. 387-389 ◽  
Author(s):  
Jin Ho Song
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Fluid Model ◽  
Two Phase ◽  
One Dimensional ◽  
Proposed Model ◽  
Two Fluid Model ◽  
The One ◽  
Two Fluid

A linear stability analysis is performed for a two-phase flow in a channel to demonstrate the feasibility of using momentum flux parameters to improve the one-dimensional two-fluid model. It is shown that the proposed model is stable within a practical range of pressure and void fraction for a bubbly and a slug flow.

Bragg diffraction of waves in one-dimensional doubly periodic media

1994 ◽  
Vol 50 (6) ◽  
pp. 3631-3635 ◽  
Author(s):  
F. G. Bass ◽  
G. Ya. Slepyan ◽  
S. T. Zavtrak ◽  
A. V. Gurevich
Keyword(s):  
Bragg Diffraction ◽  
Periodic Media ◽  
One Dimensional

Linear stability analysis and metastable solutions for a phase-field model

1999 ◽  
Vol 129 (3) ◽  
pp. 571-600 ◽  
Author(s):  
A. Jiménez-Casas ◽  
A. Rodríguez-Bernal
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Phase Field ◽  
Field Model ◽  
Equilibrium Points ◽  
Phase Field Model ◽  
One Dimensional ◽  
Stability And Instability ◽  
The One

We study the linear stability of equilibrium points of a semilinear phase-field model, giving criteria for stability and instability. In the one-dimensional case, we study the distribution of equilibria and also prove the existence of metastable solutions that evolve very slowly in time.

One-Dimensional Periodic Potential in Quantum Mechanics

2010 ◽  
Vol 3 (2) ◽  
pp. 99-107
Author(s):  
Vladimir K. Ignatovich
Keyword(s):  
Mathematical Method ◽  
Quantum Mechanics ◽  
Periodic Potential ◽  
Three Dimensional ◽  
Periodic Systems ◽  
Periodic Media ◽  
One Dimensional

An elegant mathematical method is demonstrated with the help of simplest one-dimensional problems of quantum mechanics. This method is then applied to calculation of scattering on one-dimensional periodic systems. Generalization of the method for calculation of scattering in three dimensional periodic media and for spinor particles is pointed out.

Sign in / Sign up

Export Citation Format

Share Document