Continuous generation of dissipative spatial solitons in two-dimensional Ginzburg–Landau models with elliptical shaped potentials

2015 ◽  
Vol 13 (4) ◽  
pp. 041901-41904 ◽  
Author(s):  
Guangyu Jiang Guangyu Jiang ◽  
Youwen Liu Youwen Liu
Keyword(s):  
Two Dimensional ◽  
Spatial Solitons ◽  
Ginzburg Landau ◽  
Continuous Generation

Spiral Solutions of the Two-Dimensional Complex Ginzburg–Landau Equation

2001 ◽  
Vol 35 (2) ◽  
pp. 159-161
Author(s):  
Liu Shi-Da ◽  
Liu Shi-Kuo ◽  
Fu Zun-Tao ◽  
Zhao Qiang
Keyword(s):  
Landau Equation ◽  
Two Dimensional ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

scholarly journals Continuous generation of soliton patterns in two-dimensional dissipative media by razor, dagger, and needle potentials

2010 ◽  
Vol 35 (12) ◽  
pp. 1974 ◽  
Author(s):  
Bin Liu ◽  
Ying-Ji He ◽  
Boris A. Malomed ◽  
Xiao-Sheng Wang ◽  
Panayotis G. Kevrekidis ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Continuous Generation ◽  
Dissipative Media

Maze energetics revealed by a large-scale two-dimensional Ginzburg-Landau type simulation

2014 ◽  
Vol 115 (17) ◽  
pp. 17D134 ◽  
Author(s):  
Kaoru Iwano ◽  
Chiharu Mitsumata ◽  
Kanta Ono
Keyword(s):  
Large Scale ◽  
Two Dimensional ◽  
Ginzburg Landau

Generation of Tunable Necklace-Pattern Solitons in Two-Dimensional Dissipative System

2013 ◽  
Vol 339 ◽  
pp. 645-650
Author(s):  
Bin Liu ◽  
Shu Jing Li ◽  
Lin Ting Ma
Keyword(s):  
Landau Equation ◽  
Dissipative System ◽  
Gaussian Pulse ◽  
Two Dimensional ◽  
Balance Equations ◽  
Ginzburg Landau ◽  
Quintic Nonlinearity ◽  
Elliptical Ring ◽  
Energy And Momentum ◽  
Triangular Ring

We obtain necklace-pattern solitons (NPSs) from the same-pattern initial Gaussian pulse modulated by alternating azimuthal phase sections (AAPSs) of out-phase based on the two-dimensional (2D) complex Ginzburg-Landau equation with the cubic-quintic nonlinearity. The initial radially symmetrical Gaussian pulse can evolves into general necklace-rings solitons (NRSs). The number and distribution of pearls is tunable by adjusting sections-number and sections-distribution of AAPSs. In addition, we study the linear increased relationship between size of initial pulses and ring-radii of NRSs. Moreover, we predict the number-threshold of pearls in theoretical analysis by using of balance equations for energy and momentum. Final, we extend the research results to obtain arbitrary NPSs, such as elliptical ring, triangular-ring, and pentagonal ring.

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