scholarly journals Microscopic quantum description of second-order nonlinearities in two-dimensional hexagonal nanostructures beyond the Dirac cone approximation

2020 ◽  
Vol 102 (16) ◽  
Author(s):  
H. K. Avetissian ◽  
G. F. Mkrtchian ◽  
K. G. Batrakov ◽  
S. A. Maksimenko
2007 ◽  
Vol 5 ◽  
pp. 195-200
Author(s):  
A.V. Zhiber ◽  
O.S. Kostrigina

In the paper it is shown that the two-dimensional dynamical system of equations is Darboux integrable if and only if its characteristic Lie algebra is finite-dimensional. The class of systems having a full set of fist and second order integrals is described.


2020 ◽  
Vol 124 (13) ◽  
pp. 7558-7565 ◽  
Author(s):  
Ji-kai Lyu ◽  
Wei-xiao Ji ◽  
Shu-feng Zhang ◽  
Chang-wen Zhang ◽  
Pei-ji Wang

2021 ◽  
Vol 104 (23) ◽  
Author(s):  
Haibo Yao ◽  
Mingfeng Zhu ◽  
Liwei Jiang ◽  
Yisong Zheng

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