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	1. Bilinear auto-Bäcklund transformation, shock waves, breathers and X-type solitons for a (3 + 1)-dimensional generalized B-typeKadomtsev-Petviashvili equation in a fluid
	Lu Zheng, Bo Tian,an-Yu Yang,ian-Yu zhou
	Mathematics 15 March 2023
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	Abstract:In this paper, a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation in a fluid, which is used to describe the long waves and has the application in water percolation, is investigated. Via the Hirota method, a bilinear auto-Bäcklund transformation as well as shock-wave, breather and X-type soliton solutions are obtained. The shock waves and breathers are showed. The amplitudes and shapes of shock waves and breathers keep unchanged during the propagation. The X-type soliton on a periodic background are observed. The influence of the coefficients in the equation on the above waves are analysed.
	TO cite this article:Lu Zheng, Bo Tian,an-Yu Yang, et al. Bilinear auto-Bäcklund transformation, shock waves, breathers and X-type solitons for a (3 + 1)-dimensional generalized B-typeKadomtsev-Petviashvili equation in a fluid[OL].[15 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759652


	2. Mixed rogue wave-kink soliton solutions, lump-periodic solutions and periodic cross-kink soliton solutions for a (3+1)-dimensional integrable fourth-order nonlinear equation in a fluid
	MENG Fan-Rong,TIAN Bo
	Mathematics 13 March 2023
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	Abstract:In this paper, a (3+1) dimensional integrable fourth-order nonlinear equation is investigated, which can simulate left- and right-going waves in a fluid. By using the symbolic computations, some mixed rogue wave-kink soliton solutions are constructed. We graphically analyze the interaction between the rogue wave and a pair of kink solitons and find that the rogue wave appears at one kink soliton and vanishes after propagating to another kink soliton on the x-y, y-zand x-z planes, respectively. We also obtain some lump-periodic wave solutions and investigate the interaction between a lump wave and a periodic wave. We find that the amplitude of the lump wave changes with the increase of $t$. Besides, some periodic cross-kink soliton solutions are obtained. With the help of 3D plots, we study the propagation and interaction of the nonlinear waves obtained from those solutions. In addition, we discuss the influence of the coefficients in that equation on the nonlinear waves derived from the solutions in this paper.
	TO cite this article:MENG Fan-Rong,TIAN Bo. Mixed rogue wave-kink soliton solutions, lump-periodic solutions and periodic cross-kink soliton solutions for a (3+1)-dimensional integrable fourth-order nonlinear equation in a fluid[OL].[13 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759534

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	3. An accelerated sequential minimal optimization method for the least squares support vector machine
	Liu Siyi,Liu Jianxun
	Mathematics 10 March 2023
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	Abstract:Least squares support vector machine(LS-SVM) is an important variant of traditional support vector machine, which is used to solve pattern recognition and prediction. We propose an improved version of the Sequential minimum optimization(SMO) algorithm for training LS-SVM, based on a acclerated grdient method. In this paper we consider adding a new point to capture previous update information. We adopt the idea of Nesterov acceleration method, which gets intermediate points from previous update information and then updates the new iteration point. we show experimentally that the improvement method can significantly reduce the number of iterations, and the training time of LS-SVM can also be reduced in the improvement first-order SMO.
	TO cite this article:Liu Siyi,Liu Jianxun. An accelerated sequential minimal optimization method for the least squares support vector machine[OL].[10 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759470


	4. Global existence and energy decay of solutions for a system of nonlinear wave equations with nonlinear damping
	ZHOU Jun,CHEN Kailun
	Mathematics 08 March 2023
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	Abstract:A system of nonlinear wave equations with nonlinear damping was considered in this paper. By using some ordinary differential inequities and energy methods, the existence of global solutions and the decay of the corresponding energy functional were studied.
	TO cite this article:ZHOU Jun,CHEN Kailun. Global existence and energy decay of solutions for a system of nonlinear wave equations with nonlinear damping[OL].[ 8 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759320


	5. Signed and sign-changing solutions for nonlinear Schr\"{o}dinger-Poisson system with two nonlocal terms in $\mathbb{R}^{3}$
	Yi Wen, Zeng-Qi Ou
	Mathematics 03 March 2023
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	Abstract:In this paper, we consider the following Schr\"{o}dinger-Poisson system \begin{equation} \left\{\begin{matrix} -\Delta u+V(x)u+\phi u=\left(\int_{\mathbb{R}^3}\frac{1}{p}\|u\|^pdx\right)^{\frac{2}{p}}\|u\|^{p-2}u+g(x)\|u\|^{q-2}u,& \mbox{in}\ \mathbb{R}^3,\\ -\Delta\phi=u^2,& \mbox{in}\ \mathbb{R}^3,\hfill\label{0.1} \end{matrix}\right. \end{equation} where $1<q<2<p<6$ and the functions $V(x), g(x)$ satisfy the certain conditions. Using variational methods and invariant sets of descending flow, we prove that system (\ref{0.1}) possesses three nontrivial solutions of mountain pass type (one positive, one negative and one sign-changing) and infinitely many high-energy sign-changing solutions.
	TO cite this article:Yi Wen, Zeng-Qi Ou. Signed and sign-changing solutions for nonlinear Schr\"{o}dinger-Poisson system with two nonlocal terms in $\mathbb{R}^{3}$[OL].[ 3 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759230


	6. Global Dynamics Analysis of Two-strain COVID-19 Model with Vaccination
	WANG Yao-Zhe, LIU Xian-Ning
	Mathematics 22 February 2023
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	Abstract:The COVID-19 epidemic is still spreading all over the world. With the mutation of the virus, now the mainstream strains in the world are Delta and Omicron. Considering the actual situation of large-scale vaccination, under the assumption that the vaccine mainly protects against Delta strain infection and the antibody concentration induced by the vaccine has an attenuation effect, this paper constructs a new dynamic model to simulate the spread of the disease. The model uses two general incidence rates to describe the spread of these two strains. Include non-monotonous, non-concave forms of morbidity, which can infer media education or psychological effects. Theoretically, we find that there are at most four equilibriums in the model, and the global asymptotic stability condition of the model is obtained by using Lyapunov function analysis. Furthermore, the numerical simulation results confirm that the equilibria of this system are global asymptotic stability under the conditions of each universality condition.
	TO cite this article:WANG Yao-Zhe, LIU Xian-Ning. Global Dynamics Analysis of Two-strain COVID-19 Model with Vaccination[OL].[22 February 2023] http://en.paper.edu.cn/en_releasepaper/content/4759244


	7. Global well--posedness of the 3D magneto-micropolar fluid equations with infinite magnetic Reynolds
	HUANG Hua-Xiong,PU Xue-Ke
	Mathematics 16 February 2023
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	Abstract:In this article, we study the global well-posedness of the Cauchy problem for the 3D magneto-micropolar fluid equations with infinite magnetic Reynolds number. More precisely, we demonstrate the global well-posedness of the Cauchy problem when the initial magnetic field is near to the background magnetic field and the Diophantine condition is satisfied.
	TO cite this article:HUANG Hua-Xiong,PU Xue-Ke. Global well--posedness of the 3D magneto-micropolar fluid equations with infinite magnetic Reynolds[OL].[16 February 2023] http://en.paper.edu.cn/en_releasepaper/content/4759012


	8. Infinitely many high energy solutions for Schr\"{o}dinger-Poisson system
	XIONG Biao,TANG Chun-lei
	Mathematics 15 February 2023
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	Abstract:In this arcitle, we investigate the following Schr\"{o}dinger-Poisson system\begin{equation} \begin{cases} -\Delta u+V(x)u+\phi u=f(u), & \text{ in }\R,\\ -\Delta \phi= u^2, & \text{ in }\R, \end{cases}\end{equation}where $V(x)$ is coercive, $f$ satisfies that $\frac{1}{3}f(t)t\geq F(t)>0$ for every $t\in\RRR\setminus\{0\}$. Under certain assumptions about the above terms, we obtain infinitely many high energy solutions for the system by Symmetric mountain pass theorem.
	TO cite this article:XIONG Biao,TANG Chun-lei. Infinitely many high energy solutions for Schr\"{o}dinger-Poisson system[OL].[15 February 2023] http://en.paper.edu.cn/en_releasepaper/content/4759083


	9. N-soliton solutions and nonlinear dynamics for a generalized Broer–Kaup system
	LIU Tian-Zhi,JIANG Yan,TIAN Bo,BAI Fan
	Mathematics 10 February 2023
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	Abstract:Water waves are observed in many situations, as well as on rivers, lakes or oceans. Under consideration in this paper is a famous dispersion water wave model: the (1 + 1)-dimensional generalized Broer–Kaup (gBK) system. This system is used to simulate the bi-directional propagation of long waves in shallow water. Based on the bilinear forms given in this paper, novel N-soliton solutions of this gBK system is obtained by using Hirota's bilinear method. In order to understand the nonlinear dynamics localized in the gBK systems, local structures of the obtained one-, two-, three- and four-soliton solutions are shown. This paper reveals the local structures of the one-soliton solutions and interactions between multi-soliton solutions and preliminarily explains the nonlinear dynamical characteristics of bell soliton and kink soliton in this gBK system.
	TO cite this article:LIU Tian-Zhi,JIANG Yan,TIAN Bo, et al. N-soliton solutions and nonlinear dynamics for a generalized Broer–Kaup system[OL].[10 February 2023] http://en.paper.edu.cn/en_releasepaper/content/4759074


	10. Ground state sign-changing solutions for a quasilinear Schr\"{o}dinger equation
	ZHAO Yan-Ping,WU Xing-Ping,TANG Chun-Lei
	Mathematics 02 February 2023
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	Abstract:\ In this paper, we consider the existence of ground state solution and ground state sign-changing solution for the quasilinear Schr\"{o}dinger equation\begin{eqnarray}\label{1.1}-\triangle u-a(x)\triangle (u^2)u+V(x)u=f(x,u) &x\in \mathbb{R}^N\nonumber\end{eqnarray}where $N\geq3$, $V$ is coercive potential, $a(x)$ is a bounded function and $f\in C(\mathbb{R}^N\times\mathbb{R},\mathbb{R})$. The proof is based on variational methods, by using sign-changing Nehari manifold and deformation arguments, we can get a least energy sign-changing solution.
	TO cite this article:ZHAO Yan-Ping,WU Xing-Ping,TANG Chun-Lei. Ground state sign-changing solutions for a quasilinear Schr\"{o}dinger equation[OL].[ 2 February 2023] http://en.paper.edu.cn/en_releasepaper/content/4758883

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