Exact solutions for generalized variable-coefficients Ginzburg-Landau equation: Application to Bose-Einstein condensates with multi-body interatomic interactions

2012 ◽  
Vol 53 (12) ◽  
pp. 123703 ◽  
Author(s):  
E. Kengne ◽  
A. Lakhssassi ◽  
R. Vaillancourt ◽  
Wu-Ming Liu
Keyword(s):  
Exact Solutions ◽  
Landau Equation ◽  
Variable Coefficients ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Bose Einstein ◽  
Multi Body

Multi-order exact solutions of the complex Ginzburg–Landau equation

2000 ◽  
Vol 269 (5-6) ◽  
pp. 319-324 ◽  
Author(s):  
Shikuo Liu ◽  
Zuntao Fu ◽  
Shida Liu ◽  
Qiang Zhao
Keyword(s):  
Exact Solutions ◽  
Landau Equation ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

Exact solutions to complex Ginzburg–Landau equation

Pramana ◽  
2018 ◽  
Vol 91 (2) ◽  
Author(s):  
Yang Liu ◽  
Shuangqing Chen ◽  
Lixin Wei ◽  
Bing Guan
Keyword(s):  
Exact Solutions ◽  
Landau Equation ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

scholarly journals Non-autonomous Ginzburg-Landau solitons using the He-Li mapping method

2020 ◽  
Vol 27 (4) ◽  
pp. e104
Author(s):  
Maximino Pérez Maldonado ◽  
Haret C. Rosu ◽  
Elizabeth Flores Garduño
Keyword(s):  
Landau Equation ◽  
Soliton Solutions ◽  
Variable Coefficients ◽  
Mapping Method ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

We find and discuss the non-autonomous soliton solutions in the case of variable nonlinearity and dispersion implied by the Ginzburg-Landau equation with variable coefficients. In this work we obtain non-autonomous Ginzburg-Landau solitons from the standard autonomous Ginzburg-Landau soliton solutions using a simplified version of the He-Li mapping. We find soliton pulses of both arbitrary and fixed amplitudes in terms of a function constrained by a single condition involving the nonlinearity and the dispersion of the medium. This is important because it can be used as a tool for the parametric manipulation of these non-autonomous solitons.

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