Project supported by the National Natural Science Foundation of China(Grant Nos.12461048 and 12061051);the Natural Science Foundation of Inner Mongolia Autonomous Region(Grant No.2023MS01003);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT23096);the financial support from the Program of China Scholarships Council(Grant No.202306810054)for one year study at the University of Leeds;the support of Professor Ke Wu and Professor Weizhong Zhao at Capital Normal University,China。
We construct the quantum fields presentation of the generalized universal character and the generalized B-type universal character,and by acting the quantum fields presentations to the constant 1,the generating functi...
We propose a fractional-order improved Fitz Hugh–Nagumo(FHN)neuron model in terms of a generalized Caputo fractional derivative.Following the existence of a unique solution for the proposed model,we derive the numeri...
Project supported by the the Fundamental Research Funds for the Central Universities(Grant No.2023MS163).
We study a generalized higher-order nonlinear Schr¨odinger equation in an optical fiber or a planar waveguide.We obtain the Lax pair and N-fold Darboux transformation(DT)with N being a positive integer.Based on Lax p...
Project supported by the National Natural Science Foundation of China(Grant Nos.12326305,11931017,and 12271490);the Excellent Youth Science Fund Project of Henan Province(Grant No.242300421158);the Natural Science Foundation of Henan Province(Grant No.232300420119);the Excellent Science and Technology Innovation Talent Support Program of ZUT(Grant No.K2023YXRC06);Funding for the Enhancement Program of Advantageous Discipline Strength of ZUT(2022)。
Under investigation is an integrable generalization of the Fokas–Lenells equation, which can be derived from the negative power flow of a 2 × 2 matrix spectral problem with three potentials. Based on the gauge trans...
Project supported by the National Natural Science Foundation of China (Grant No.12071042);Beijing Natural Science Foundation (Grant No.1202006)。
Under consideration in this study is the discrete coupled modified Korteweg-de Vries(mKdV)equation with 4×4 Lax pair.Firstly,through using continuous limit technique,this discrete equation can be mapped to the couple...
False data injection(FDI) attacks are common in the distributed estimation of multi-task network environments, so an attack detection strategy is designed by combining the generalized maximum correntropy criterion. Ba...
Project supported by the National Natural Science Foundation of China (Grant No. 92050102);the National Key Research and Development Program of China (Grant No. 2020YFA0710100);the Fundamental Research Funds for Central Universities, China (Grant Nos. 20720200074, 20720220134, 202006310051, and 20720220033)。
Super-resolution imaging is vital for optical applications, such as high capacity information transmission, real-time bio-molecular imaging, and nanolithography. In recent years, technologies and methods of super-reso...
supported by the National Natural Science Foundation of China (Grant Nos. 11835011 and 12074343)。
With the aid of the Painlevé analysis, we obtain residual symmetries for a new(3+1)-dimensional generalized Kadomtsev–Petviashvili(gKP) equation. The residual symmetry is localized and the finite transformation is p...
partially supported by the 20210414-SIPIPN, Mexico。
Using a single-mode approximation, we carry out the entanglement measures, e.g., the negativity and von Neumann entropy when a tetrapartite generalized GHZ state is treated in a noninertial frame, but only uniform acc...
Project supported by the National Natural Science Foundation of China (Grant No. 61905039);Jilin Scientific and Technological Development Program, China (Grant No. 20190701018GH);Education Department of Jilin Province, China (Grant No. JJKH20190691KJ);State Key Laboratory of Applied Optics.
An accurate and fast three-step self-calibrating generalized phase-shifting interferomertry(SGPSI) is proposed. In this approach, two new phase-shifting signals are constructed by the difference interferograms normali...