Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2

2021 ◽  
Vol 62 (4) ◽  
pp. 041509
Author(s):  
Juncheng Wei ◽  
Yuanze Wu
Keyword(s):  
Landau Equation ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Vortex Solutions

Shooting method for vortex solutions of a complex-valued Ginzburg–Landau equation

1994 ◽  
Vol 124 (6) ◽  
pp. 1075-1088 ◽  
Author(s):  
Xinfu Chen ◽  
Charles M. Elliott ◽  
Tang Qi
Keyword(s):  
Real Number ◽  
Shooting Method ◽  
Landau Equation ◽  
Stationary Solutions ◽  
Polar Coordinates ◽  
Ginzburg Landau ◽  
Nonzero Constant ◽  
Ginzburg Landau Equation ◽  
Vortex Solutions ◽  
Complex Valued

In this paper, we study all the stationary solutions of the form u(r)einθ to the complex-valued Ginzburg–Landau equation on the complex plane: here (r, θ) are the polar coordinates, and n is any real number. In particular, we show that there exists a unique solution which approaches to a nonzero constant as r → ∞.

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
Sign in / Sign up

Export Citation Format

Share Document