scholarly journals Introducing a relativistic nonlinear field system with a single stable non-topological soliton solution in 1+1 dimensions

2020 ◽  
Vol 414 ◽  
pp. 168099 ◽  
Author(s):  
M. Mohammadi
Keyword(s):  
Soliton Solution ◽  
Nonlinear Field ◽  
Topological Soliton ◽  
Field System

scholarly journals Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in(1+1)-Dimensions with Power Law Nonlinearity

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Ming Song ◽  
Bouthina S. Ahmed ◽  
Anjan Biswas
Keyword(s):  
Finite Difference ◽  
Numerical Simulations ◽  
Power Law ◽  
Soliton Solution ◽  
Bifurcation Analysis ◽  
Soliton Solutions ◽  
Phase Portraits ◽  
Zakharov Equation ◽  
Topological Soliton ◽  
Klein Gordon

This paper addresses the Klein-Gordon-Zakharov equation with power law nonlinearity in (1+1)-dimensions. The integrability aspect as well as the bifurcation analysis is studied in this paper. The numerical simulations are also given where the finite difference approach was utilized. There are a few constraint conditions that naturally evolve during the course of derivation of the soliton solutions. These constraint conditions must remain valid in order for the soliton solution to exist. For the bifurcation analysis, the phase portraits are also given.

OPTICAL SOLITON SOLUTIONS OF THE LONG-SHORT-WAVE INTERACTION SYSTEM

2013 ◽  
Vol 22 (02) ◽  
pp. 1350015 ◽  
Author(s):  
AHMET BEKIR ◽  
ESIN AKSOY ◽  
ÖZKAN GÜNER
Keyword(s):  
Soliton Solution ◽  
Function Method ◽  
Soliton Solutions ◽  
Wave Interaction ◽  
Short Wave ◽  
Optical Soliton ◽  
Physical Parameters ◽  
Ansatz Method ◽  
Topological Soliton ◽  
Dependent Model

This paper, studies the long-short-wave interaction (LS) equation. An optical soliton solution is obtained by the exp-function method and the ansatz method. Subsequently, we formally derive the dark (topological) soliton solutions for this equation. By using the exp-function method, some additional solutions will be derived. The physical parameters in the soliton solutions of ansatz method: amplitude, inverse width, and velocity are obtained as functions of the dependent model coefficients.

scholarly journals Exact solutions of the 2+1-dimensional Camassa–Holm Kadomtsev–Petviashvili equation

2012 ◽  
Vol 17 (3) ◽  
pp. 280-296 ◽  
Author(s):  
Ghodrat Ebadi ◽  
Nazila Yousefzadeh Fard ◽  
Houria Triki ◽  
Anjan Biswas
Keyword(s):  
Exact Solutions ◽  
Exponential Function ◽  
Soliton Solution ◽  
Function Method ◽  
Ansatz Method ◽  
Topological Soliton ◽  
Petviashvili Equation ◽  
Exponential Function Method

This paper studies the (2 + 1)-dimensional Camassa–Holm Kadomtsev–Petviashvili equation. There are a few methods that will be utilized to carry out the integration of this equation. Those are the G'/G method as well as the exponential function method. Subsequently, the ansatz method will be applied to obtain the topological soliton solution of this equation. The constraint conditions, for the existence of solitons, will also fall out of these.

A REMARK ON SPIN AND STATISTICS OF BABY SKYRMION

1991 ◽  
Vol 06 (30) ◽  
pp. 2775-2783 ◽  
Author(s):  
HIDEHARU OTSU ◽  
TOSHIRO SATO
Keyword(s):  
Soliton Solution ◽  
Topological Charge ◽  
Topological Soliton ◽  
Spin And Statistics

We study spin and statistics of baby skyrmion, which is a topological soliton solution in the (2+1)-dimensional O(3) σ-model. It is shown that the Hopf term written in terms of CP 1 variables does not naively represent the topological charge associated with the non-triviality of Π1 (S2 → S2). It is also pointed out, therefore, that the baby skyrmion cannot behave as anyon, even if the Hopf term of CP 1 variables is added to the model.

Quantum and Classical Quantifiers for Atom-Nonlinear Field System under Decoherence

2013 ◽  
Vol 20 (01) ◽  
pp. 1350001 ◽  
Author(s):  
K. Berrada
Keyword(s):  
Marginal Distribution ◽  
Nonlinear Field ◽  
Wehrl Entropy ◽  
Bosonic Field ◽  
Single Qubit ◽  
Field System

The entanglement and coherence of a single qubit and deformed bosonic field inside a phase-damped cavity are discussed. In the classical q → 1 limit, analytic results under certain parametric conditions are obtained. The influence of deformation and dissipation on the negativity, Wehrl entropy, atomic Wehrl entropy and marginal distribution is studied. An interesting relation between the entanglement, deformation and decoherence effects is observed.

Archaeological Investigations at Mavis Grind, Shetland

1983 ◽  
Vol 10 (1) ◽  
pp. 13-39 ◽  
Author(s):  
Stephen Cracknell ◽  
Beverley Smith
Keyword(s):  
Iron Age ◽  
Early Iron Age ◽  
Second Phase ◽  
Field System ◽  
M 10 ◽  
Settlement Site

Summary The excavations revealed a stone house and showed that it was oval, 13 m × 10 m, with an interior about 7 m in diameter. In the first occupation phase the entrance was on the SE side. During the second phase this entrance was replaced with one to the NE and the interior was partitioned. The roof was supported on wooden posts. After the building was abandoned it was covered with peat-ash which was subsequently ploughed. There were numerous finds of steatite-tempered pottery and stone implements, which dated the site to late Bronze/early Iron Age. The second settlement, Site B, lay by the shore of the voe and consisted of two possible stone-built houses and a field system. Two trenches were dug across the structures and the results are reported in Appendix I. Although damaged in recent years it was in no further danger.

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