Solitons and modulation instability of the perturbed Gerdjikov–Ivanov equation with spatio-temporal dispersion

2021 ◽  
Vol 153 ◽  
pp. 111523
Author(s):  
Kaltham K. Al-Kalbani ◽  
K.S. Al-Ghafri ◽  
E.V. Krishnan ◽  
Anjan Biswas
2016 ◽  
Vol 114 ◽  
pp. 192-203 ◽  
Author(s):  
Houria Triki ◽  
Turgut Ak ◽  
Seithuti Moshokoa ◽  
Anjan Biswas

2021 ◽  
pp. 104656
Author(s):  
Lanre Akinyemi ◽  
Hadi Rezazadeh ◽  
Qiu-Hong Shi ◽  
Mustafa Inc ◽  
Mostafa M.A. Khater ◽  
...  

2012 ◽  
Vol 16 ◽  
pp. e125
Author(s):  
M. Falkner ◽  
K.J. Linthicum ◽  
S.C. Britch ◽  
L. Mao ◽  
A. Tatem

2020 ◽  
Vol 66 (4 Jul-Aug) ◽  
pp. 404
Author(s):  
O. González Gaxiola ◽  
A. Biswas ◽  
A. Kamis Alzahrani ◽  
M. R. Belic

This paper studies optical soliton perturbation that appears with Kerr law nonlinearity having spatio-temporal dispersion. The numerical scheme adopted is the variational iteration method. The perturbation terms are of Hamiltonian type and stem from inter-modal dispersion, self-steepening and nonlinear dispersion. Both bright and dark solitons are taken into consideration.


2014 ◽  
Vol 61 (5) ◽  
pp. 441-458 ◽  
Author(s):  
Michelle Savescu ◽  
A.H. Bhrawy ◽  
A.A. Alshaery ◽  
E.M. Hilal ◽  
Kaisar R. Khan ◽  
...  

EP Europace ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 1484-1493 ◽  
Author(s):  
Juan Chen ◽  
Thomas Arentz ◽  
Hubert Cochet ◽  
Björn Müller-Edenborn ◽  
Steven Kim ◽  
...  

Abstract Aims Atrial fibrosis contributes to arrhythmogenesis in atrial fibrillation and can be detected by MRI or electrophysiological mapping. The current study compares the spatial correlation between delayed enhancement (DE) areas to low-voltage areas (LVAs) and to arrhythmogenic areas with spatio-temporal dispersion (ST-Disp) or continuous activity (CA) in atrial fibrillation (AF). Methods and results Sixteen patients with persistent AF (nine long-standing) underwent DE-magnetic resonance imaging (1.25 mm × 1.25 mm × 2.5 mm) prior to pulmonary vein isolation. Left atrial (LA) voltage mapping was acquired in AF and the regional activation patterns of 7680 AF wavelets were analysed. Sites with ST-Disp or CA were characterized (voltage, duration) and their spatial relationship to DE areas and LVAs <0.5 mV was assessed. Delayed enhancement areas and LVAs covered 55% and 24% (P < 0.01) of total LA surface, respectively. Delayed enhancement area was present at 61% of LVAs, whereas low voltage was present at 28% of DE areas. Most DE areas (72%) overlapped with atrial high-voltage areas (>0.5 mV). Spatio-temporal dispersion and CA more frequently co-localized with LVAs than with DE areas (78% vs. 63%, P = 0.02). Regional bipolar voltage of ST-Disp vs. CA was 0.64 ± 0.47 mV vs. 0.58 ± 0.51 mV. All 28 ST-Disp and 56 CA areas contained electrograms with prolonged duration (115 ± 14 ms) displaying low voltage (0.34 ± 0.11 mV). Conclusion A small portion of DE areas and LVAs harbour the arrhythmogenic areas displaying ST-Disp or CA. Most arrhythmogenic activities co-localized with LVAs, while there was less co-localization with DE areas. There is an important mismatch between DE areas and LVAs which needs to be considered when used as target for catheter ablation.


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