scholarly journals Topological and non-topological soliton solution of the 1 + 3 dimensional Gross-Pitaevskii equation with quadratic potential term

2017 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Hitender Kumar ◽  
P. Saravanan
Keyword(s):  
Soliton Solution ◽  
Pitaevskii Equation ◽  
Topological Soliton ◽  
Quadratic Potential ◽  
Potential Term ◽  
3 Dimensional

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.

scholarly journals A NOTE ON THE EXISTENCE OF SOLITON SOLUTIONS IN THE CHERN–SIMONS–CP(1) MODEL

2011 ◽  
Vol 26 (09) ◽  
pp. 637-646 ◽  
Author(s):  
LUCAS SOURROUILLE ◽  
ALVARO CASO ◽  
GUSTAVO S. LOZANO
Keyword(s):  
Soliton Solution ◽  
Finite Size ◽  
Soliton Solutions ◽  
Potential Term ◽  
Chern Simons

We study a gauged Chern–Simons–CP(1) system. We show that contrary to previous claims, the model in the absence of a potential term cannot support finite size soliton solution in R2.

EXACT SOLITONS IN THE GROSS–PITAEVSKII EQUATION WITH TIME-MODULATED NONLINEARITY

2007 ◽  
Vol 21 (07) ◽  
pp. 383-390
Author(s):  
Z. X. LIANG ◽  
Z. D. ZHANG
Keyword(s):  
Soliton Solution ◽  
Scattering Length ◽  
Pitaevskii Equation ◽  
Matter Waves ◽  
Bose Einstein

Exact solitonic solutions of the Gross–Pitaevskii equation with time-modulated nonlinearity of a(t) = a0 / (t + t0) are obtained. With help of these solutions, we analyze the properties of Feshbach-managed solitons in Bose–Einstein condensates in details. Our results show that the parameters of atomic matter waves can be manipulated by proper variation of the scattering length. In particular, an exact two-soliton solution is given, from which, it is shown that the separation between the neighboring solitons can be effectively maintained by allowing the solitons to have unequal initial amplitudes.

scholarly journals Berry phases for the nonlocal Gross–Pitaevskii equation with a quadratic potential

2006 ◽  
Vol 39 (5) ◽  
pp. 1191-1206 ◽  
Author(s):  
F N Litvinets ◽  
A V Shapovalov ◽  
A Yu Trifonov
Keyword(s):  
Pitaevskii Equation ◽  
Quadratic Potential ◽  
Berry Phases

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.

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