Ablowitz-Ladik hierarchy of integrable equations on a time-space scale

2014 ◽  
Vol 55 (10) ◽  
pp. 102701 ◽  
Author(s):  
Gro Hovhannisyan
2021 ◽  
Vol 289 ◽  
pp. 116698
Author(s):  
Peng Li ◽  
Zixuan Wang ◽  
Jiahao Wang ◽  
Tianyu Guo ◽  
Yunxing Yin

2012 ◽  
Vol 61 (8) ◽  
pp. 080401
Author(s):  
Bian Bao-Min ◽  
Lai Xiao-Ming ◽  
Yang Ling ◽  
Li Zhen-Hua ◽  
He An-Zhi

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Gro Hovhannisyan ◽  
Logan Bonecutter ◽  
Anita Mizer

2021 ◽  
Vol 6 (1) ◽  
pp. 12
Author(s):  
Huanhe Dong ◽  
Chunming Wei ◽  
Yong Zhang ◽  
Mingshuo Liu ◽  
Yong Fang

The coupled cubic-quintic nonlinear Schrödinger (CQNLS) equation is a universal mathematical model describing many physical situations, such as nonlinear optics and Bose–Einstein condensate. In this paper, in order to simplify the process of similar analysis with different forms of the coupled CQNLS equation, this dynamic system is extended to a time-space scale based on the Lax pair and zero curvature equation. Furthermore, Darboux transformation of the coupled CQNLS dynamic system on a time-space scale is constructed, and the N-soliton solution is obtained. These results effectively combine the theory of differential equations with difference equations and become a bridge connecting continuous and discrete analysis.


2006 ◽  
Vol 21 (13) ◽  
pp. 1075-1082
Author(s):  
X. SUN ◽  
Z. YANG

The difference between intensity interferometry and measurements of two-particle momentum correlations in heavy-ion collisions is discussed. These approaches are generally used to estimate the time-space scale of fireballs produced in heavy-ion collisions. It is inferred that the C(q inv ) function will increase with the decrease of q inv for both bosons and fermions, if q inv does not approach zero.


2007 ◽  
Author(s):  
Ursina Teuscher ◽  
David Brang ◽  
Lee Edwards ◽  
Marguerite McQuire ◽  
Vilayanur S. Ramachandran ◽  
...  
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