As an appendix of [Gao et al. Sharp isolated toughness bound for fractional (k,m)-deleted graphs, Acta Mathematicae Applicatae Sinica, English Series, 2025, 41(1): 252-269], the detailed proof of Theorem 4.1 in this w...
In this paper, we get the N-fold Darboux transformation with multi-parameters for the coupled mKdV equations with the help of a guage transformation of the spectral problem. As an application, some new multi-soliton s...
In Computed Tomography (CT), the beam hardening artifacts are caused by polychromatic X-ray beams applied in real medical imaging. In this article, we applied the recently proposed box-constrained nonlinear weighted a...
In this paper, we establish an SIR reaction-diffusion infectious disease model with saturated incidence rate and vaccination. Firstly, we prove the uniform boundedness of the solution of this model. Secondly, we estab...
In this paper, a low-dose CT denoising method based on L1/L2regularization method of Markov chain Monte Carlo is studied. Firstly, the mathematical model and regularization method of low-dose CT denoising are summariz...
Upon ship lift chamber docking with approach channel in the case of water level difference, water in chamber will fluctuate evidently. The maximum or minimum fluctuation of water surface is an important parameter to m...
The unit circle is the universal basis for the trigonometric functions on the two-dimensional plane. It is applied to analyze the paradoxical internal structure of a universal state, the 1-D geometric model. The geome...
In the present paper, we study the finite time domain dynamics of a scalar field interacting with external sources. We expand both the scalar field and the corresponding Hamiltonian in annihilation and creation operat...
In the past years, we established analytic expressions of various fractals and discussed Hölder derivatives of the expressions. Based on our earlier results, we will study the properties of harmonic functions on a ver...
The viscoelastic behavior of polymer optical fibers has garnered increasing interest due to their application as fiber sensors. A common technique for determining the storage and loss modulus of optical fibers involve...