Discrete localized excitations for discrete conformable fractional cubic–quintic Ginzburg–Landau model possessing the non-local quintic term

Optik ◽  
2021 ◽  
pp. 167554
Author(s):  
Da-Sheng Mou ◽  
Jia-Jie Fang ◽  
Yan Fan
2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Alexander A. Penin ◽  
Quinten Weller

Abstract We elaborate a theory of giant vortices [1] based on an asymptotic expansion in inverse powers of their winding number n. The theory is applied to the analysis of vortex solutions in the abelian Higgs (Ginzburg-Landau) model. Specific properties of the giant vortices for charged and neutral scalar fields as well as different integrable limits of the scalar self-coupling are discussed. Asymptotic results and the finite-n corrections to the vortex solutions are derived in analytic form and the convergence region of the expansion is determined.


1978 ◽  
Vol 17 (1) ◽  
pp. 455-470 ◽  
Author(s):  
Kyozi Kawasaki ◽  
Mehmet C. Yalabik ◽  
J. D. Gunton

2001 ◽  
Vol 63 (3) ◽  
Author(s):  
Javier Buceta ◽  
Juan M. R. Parrondo ◽  
F. Javier de la Rubia

2017 ◽  
Vol 110 ◽  
pp. 49-56 ◽  
Author(s):  
B. Nawaz ◽  
K. Ali ◽  
S.T.R. Rizvi ◽  
M. Younis

2001 ◽  
Vol 80 (3) ◽  
pp. 339-372 ◽  
Author(s):  
Amandine Aftalion ◽  
Etienne Sandier ◽  
Sylvia Serfaty
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