scholarly journals Infinite hierarchy of solitons: Interaction of Kerr nonlinearity with even orders of dispersion

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
Antoine F. J. Runge ◽  
Y. Long Qiang ◽  
Tristram J. Alexander ◽  
M. Z. Rafat ◽  
Darren D. Hudson ◽  
...  
Keyword(s):  
Kerr Nonlinearity ◽  
Infinite Hierarchy

scholarly journals One-step direct measurement of the entangled W states with cross-Kerr nonlinearity

2021 ◽  
Author(s):  
Si-Le Lin ◽  
Chun-Lin Zhang ◽  
Si-Yang Hao ◽  
Pei-Yao Hong ◽  
Qiao-Hui Guo
Keyword(s):  
Direct Measurement ◽  
Kerr Nonlinearity ◽  
W States ◽  
One Step

scholarly journals Simplifying the Supervised Learning of Kerr Nonlinearity Compensation Algorithms by Data Augmentation

2020 ◽  
Author(s):  
Vladislav Neskorniuk ◽  
Pedro J. Freire ◽  
Antonio Napoli ◽  
Bernhard Spinnler ◽  
Wolfgang Schairer ◽  
...  
Keyword(s):  
Supervised Learning ◽  
Data Augmentation ◽  
Kerr Nonlinearity ◽  
Nonlinearity Compensation

Electromagnetically induced transparency and enhanced self-Kerr nonlinearity in a four-level scheme

Optik ◽  
2011 ◽  
Vol 122 (11) ◽  
pp. 986-990 ◽  
Author(s):  
Xiang-an Yan ◽  
Li-qiang Wang ◽  
Bao-yin Yin ◽  
Jian-ping Song
Keyword(s):  
Level Scheme ◽  
Electromagnetically Induced Transparency ◽  
Kerr Nonlinearity ◽  
Induced Transparency

scholarly journals Integrability of Riemann-Type Hydrodynamical Systems and Dubrovin’s Integrability Classification of Perturbed KdV-Type Equations

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1077
Author(s):  
Yarema A. Prykarpatskyy
Keyword(s):  
Conservation Laws ◽  
Hamiltonian Structure ◽  
Necessary Condition ◽  
Type Representation ◽  
Infinite Hierarchy ◽  
Polynomial Coefficients ◽  
Kdv Type Equations ◽  
Special Case

Dubrovin’s work on the classification of perturbed KdV-type equations is reanalyzed in detail via the gradient-holonomic integrability scheme, which was devised and developed jointly with Maxim Pavlov and collaborators some time ago. As a consequence of the reanalysis, one can show that Dubrovin’s criterion inherits important parts of the gradient-holonomic scheme properties, especially the necessary condition of suitably ordered reduction expansions with certain types of polynomial coefficients. In addition, we also analyze a special case of a new infinite hierarchy of Riemann-type hydrodynamical systems using a gradient-holonomic approach that was suggested jointly with M. Pavlov and collaborators. An infinite hierarchy of conservation laws, bi-Hamiltonian structure and the corresponding Lax-type representation are constructed for these systems.

Tuning exceptional points with Kerr nonlinearity

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
Shahab Ramezanpour ◽  
Andrey Bogdanov
Keyword(s):  
Kerr Nonlinearity ◽  
Exceptional Points

scholarly journals Enhanced estimation of loss in the presence of Kerr nonlinearity

2016 ◽  
Vol 93 (5) ◽  
Author(s):  
Matteo A. C. Rossi ◽  
Francesco Albarelli ◽  
Matteo G. A. Paris
Keyword(s):  
Kerr Nonlinearity
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