Dispersion relation of modulational instability for one-dimensional standing solitary waves in hot ultrarelativistic electron–positron plasmas

Pramana ◽  
2021 ◽  
Vol 95 (1) ◽  
Author(s):  
Ebrahim Heidari
Keyword(s):  
Dispersion Relation ◽  
Solitary Waves ◽  
Modulational Instability ◽  
One Dimensional ◽  
Ultrarelativistic Electron ◽  
Electron Positron

Modulational instability and solitary waves in one-dimensional lattices with intensity-resonant nonlinearity

2008 ◽  
Vol 78 (4) ◽  
Author(s):  
Milutin Stepić ◽  
Aleksandra Maluckov ◽  
Marija Stojanović ◽  
Feng Chen ◽  
Detlef Kip
Keyword(s):  
Solitary Waves ◽  
Modulational Instability ◽  
One Dimensional

scholarly journals Numerical Modeling of the Interaction of Solitary Waves and Submerged Breakwaters with Sharp Vertical Edges Using One-Dimensional Beji & Nadaoka Extended Boussinesq Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Mohammad H. Jabbari ◽  
Parviz Ghadimi ◽  
Ali Masoudi ◽  
Mohammad R. Baradaran
Keyword(s):  
Solitary Waves ◽  
Numerical Study ◽  
Time Integration ◽  
Boussinesq Equations ◽  
Linear Interpolation ◽  
Reflected Waves ◽  
One Dimensional ◽  
Propagating Waves ◽  
Linear Elements ◽  
Predictor Corrector

Using one-dimensional Beji & Nadaoka extended Boussinesq equation, a numerical study of solitary waves over submerged breakwaters has been conducted. Two different obstacles of rectangular as well as circular geometries over the seabed inside a channel have been considered in view of solitary waves passing by. Since these bars possess sharp vertical edges, they cannot directly be modeled by Boussinesq equations. Thus, sharply sloped lines over a short span have replaced the vertical sides, and the interactions of waves including reflection, transmission, and dispersion over the seabed with circular and rectangular shapes during the propagation have been investigated. In this numerical simulation, finite element scheme has been used for spatial discretization. Linear elements along with linear interpolation functions have been utilized for velocity components and the water surface elevation. For time integration, a fourth-order Adams-Bashforth-Moulton predictor-corrector method has been applied. Results indicate that neglecting the vertical edges and ignoring the vortex shedding would have minimal effect on the propagating waves and reflected waves with weak nonlinearity.

scholarly journals One-dimensional deterministic transport in neurons measured by dispersion-relation phase spectroscopy

2011 ◽  
Vol 23 (37) ◽  
pp. 374107 ◽  
Author(s):  
Ru Wang ◽  
Zhuo Wang ◽  
Joe Leigh ◽  
Nahil Sobh ◽  
Larry Millet ◽  
...  
Keyword(s):  
Dispersion Relation ◽  
One Dimensional ◽  
Deterministic Transport

Spin density wave – metal (superconductor) competition: A phase segregation scenario

2002 ◽  
Vol 12 (9) ◽  
pp. 61-64
Author(s):  
C. Pasquier ◽  
M. Héritier ◽  
D. Jérome
Keyword(s):  
Free Energy ◽  
Dispersion Relation ◽  
Fermi Level ◽  
Spin Density ◽  
Density Wave ◽  
Spin Density Wave ◽  
Phase Segregation ◽  
Organic Conductor ◽  
One Dimensional ◽  
Unique Parameter

We present a model comparing the free energy of a phase exhibiting a segregation between spin density wave (SDW) and metallic domains (eventually superconducting domains) and the free energy of homogeneous phases which explains the findings observed recently in (TMTSF)2PF6. The dispersion relation of this quasi-one-dimensional organic conductor is linearized around the Fermi level. Deviations from perfect nesting which stabilizes the SDW state are described by a unique parameter t$'_b$, this parameter can be the pressure as well.

Solitary-wave solutions of nonlinear problems

1990 ◽  
Vol 331 (1617) ◽  
pp. 195-244 ◽  
Keyword(s):  
Fixed Point ◽  
Solitary Waves ◽  
Fixed Point Index ◽  
Fixed Point Theorems ◽  
Nonlinear Problems ◽  
One Dimensional ◽  
Propagating Waves ◽  
Model Equations ◽  
Permanent Form ◽  
General Method

A general method is presented for the exact treatment of analytical problems that have solutions representing solitary waves. The theoretical framework of the method is developed in abstract first, providing a range of fixed-point theorems and other useful resources. It is largely based on topological concepts, in particular the fixed-point index for compact mappings, and uses a version of positive-operator theory referred to Frechet spaces. Then three exemplary problems are treated in which steadily propagating waves of permanent form are known to be represented. The first covers a class of one-dimensional model equations that generalizes the classic Korteweg—de Vries equation. The second concerns two-dimensional wave motions in an incompressible but density-stratified heavy fluid. The third problem describes solitary waves on water in a uniform canal.

scholarly journals SPIN – A Schrödinger-Poisson Solver Including Nonparabolic Bands

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 489-493
Author(s):  
H. Kosina ◽  
C. Troger
Keyword(s):  
Dispersion Relation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
Wave Functions ◽  
Two Dimensional ◽  
Electron Systems ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Poisson Solver ◽  
Two Dimensional Electron Systems

Nonparabolicity effects in two-dimensional electron systems are quantitatively analyzed. A formalism has been developed which allows to incorporate a nonparabolic bulk dispersion relation into the Schrödinger equation. As a consequence of nonparabolicity the wave functions depend on the in-plane momentum. Each subband is parametrized by its energy, effective mass and a subband nonparabolicity coefficient. The formalism is implemented in a one-dimensional Schrödinger-Poisson solver which is applicable both to silicon inversion layers and heterostructures.

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