Localized wave solutions and interactions of the (2+1)-dimensional Hirota-Satsuma-Ito equation

This paper studies the(2+1)-dimensional Hirota-Satsuma-Ito equation.Based on an associated Hirota bilinear form,lump-type solution,two types of interaction solutions,and breather wave solution of the(2+1)-dimensional Hirota-Satsuma-Ito equation are obtained,which are all related to the seed solution of the equation.It is interesting that the rogue wave is aroused by the interaction between one-lump soliton and a pair of resonance stripe solitons,and the fusion and fission phenomena are also found in the interaction between lump solitons and one-stripe soliton.Furthermore,the breather wave solution is also obtained by reducing the two-soliton solutions.The trajectory and period of the one-order breather wave are analyzed.The corresponding dynamical characteristics are demonstrated by the graphs.

Dynamics of Nonlinear Waves in(2+1)-Dimensional Extended Boiti-Leon-Manna-Pempinelli Equation

Based on the Hirota bilinear method,this study derived N-soliton solutions,breather solutions,lump solutions and interaction solutions for the(2+1)-dimensional extended Boiti-Leon-Manna-Pempinelli equation.The dynamical characteristics of these solutions were displayed through graphical,particularly revealing fusion and ssion phenomena in the interaction of lump and the one-stripe soliton.

Bifurcations, Analytical and Non-Analytical Traveling Wave Solutions of (2 + 1)-Dimensional Nonlinear Dispersive Boussinesq Equation

For the (2 + 1)-dimensional nonlinear dispersive Boussinesq equation, by using the bifurcation theory of planar dynamical systems to study its corresponding traveling wave system, the bifurcations and phase portraits of the regular system are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of analytical and non-analytical solutions of the singular system are given by using singular traveling wave theory. For certain special cases, some explicit and exact parametric representations of traveling wave solutions are derived such as analytical periodic waves and non-analytical periodic cusp waves. Further, two-dimensional wave plots of analytical periodic solutions and non-analytical periodic cusp wave solutions are drawn to visualize the dynamics of the equation.

MOLECULES AND NEW INTERACTIONAL STRUCTURES FOR A(2+1)-DIMENSIONAL GENERALIZED KONOPELCHENKO-DUBROVSKY-KAUP-KUPERSHMIDT EQUATION

Soliton molecules(SMs)of the(2+1)-dimensional generalized KonopelchenkoDubrovsky-Kaup-Kupershmidt(gKDKK)equation are found by utilizing a velocity resonance ansatz to N-soliton solutions,which can transform to asymmetric solitons upon assigning appropriate values to some parameters.Furthermore,a double-peaked lump solution can be constructed with breather degeneration approach.By applying a mixed technique of a resonance ansatz and conjugate complexes of partial parameters to multisoliton solutions,various kinds of interactional structures are constructed;There include the soliton molecule(SM),the breather molecule(BM)and the soliton-breather molecule(SBM).Graphical investigation and theoretical analysis show that the interactions composed of SM,BM and SBM are inelastic.

Two-dimensional plane strain consolidation of unsaturated soils considering the depth-dependent stress

In practical engineering,the total vertical stress in the soil layer is not constant due to stress diffusion,and varies with time and depth.Therefore,the purpose of this paper is to investigate the effect of stress diffusion on the two-dimensional(2D)plane strain consolidation properties of unsaturated soils when the stress varies with time and depth.A series of semi-analytical solutions in terms of excess pore air and water pressures and settlement for 2D plane strain consolidation of unsaturated soils can be derived with the joint use of Laplace transform and Fourier sine series expansion.Then,the inverse Laplace transform of the semi-analytical solution is given in the time domain using a self-programmed code based on Crump’s method.The reliability of the obtained solutions is proved by the degeneration.Finally,the 2D plots of excess pore pressures and the curves of settlement varying with time,considering different physical parameters of unsaturated soil stratum and depth-dependent stress,are depicted and analyzed to study the 2D plane strain consolidation properties of unsaturated soils subjected to the depthdependent stress.

Resonant interactions among two-dimensional nonlinear localized waves and lump molecules for the(2+1)-dimensional elliptic Toda equation

The(2+1)-dimensional elliptic Toda equation is a high-dimensional generalization of the Toda lattice and a semidiscrete Kadomtsev–Petviashvili I equation.This paper focuses on investigating the resonant interactions between two breathers,a breather/lump and line solitons as well as lump molecules for the(2+1)-dimensional elliptic Toda equation.Based on the N-soliton solution,we obtain the hybrid solutions consisting of line solitons,breathers and lumps.Through the asymptotic analysis of these hybrid solutions,we derive the phase shifts of the breather,lump and line solitons before and after the interaction between a breather/lump and line solitons.By making the phase shifts infinite,we obtain the resonant solution of two breathers and the resonant solutions of a breather/lump and line solitons.Through the asymptotic analysis of these resonant solutions,we demonstrate that the resonant interactions exhibit the fusion,fission,time-localized breather and rogue lump phenomena.Utilizing the velocity resonance method,we obtain lump–soliton,lump–breather,lump–soliton–breather and lump–breather–breather molecules.The above works have not been reported in the(2+1)-dimensional discrete nonlinear wave equations.

Interaction solutions and localized waves to the(2+1)-dimensional Hirota-Satsuma-Ito equation with variable coefficient

This article investigates the Hirota-Satsuma-Ito equation with variable coefficient using the Hirota bilinear method and the long wave limit method.The equation is proved to be Painlevé integrable by Painlevé analysis.On the basis of the bilinear form,the forms of two-soliton solutions,three-soliton solutions,and four-soliton solutions are studied specifically.The appropriate parameter values are chosen and the corresponding figures are presented.The breather waves solutions,lump solutions,periodic solutions and the interaction of breather waves solutions and soliton solutions,etc.are given.In addition,we also analyze the different effects of the parameters on the figures.The figures of the same set of parameters in different planes are presented to describe the dynamical behavior of solutions.These are important for describing water waves in nature.

茄衣新品系川雪2号全国多点试验研究

为雪茄烟茄衣新品系川雪2号的品种审定、推广提供科学依据。以川雪2号及其他8份雪茄烟品系为试验材料,2021年在全国9个主要雪茄烟产区、2022年在全国8个主要雪茄烟产区开展多点试验。结果表明,川雪2号田间整齐、长势强,大田生育期88 d、免疫TMV、抗根黑腐病、综合抗病能力较强、田间自然发病率整体较轻;平均产量为1533.30 kg/hm^(2),平均产值为83234.70元/hm^(2),中上等烟比例为74.98%,产量、产值、中上等烟比例、评吸总分等在9个参试品系中排名靠前。川雪2号总体表现较好,可以进行一定规模的示范种植并开展相关配套栽培技术研究。

2型糖尿病老年病人心肌纤维化T1-Mapping与左心室应变参数的相关性分析

目的探究2型糖尿病(T2DM)老年病人心肌纤维化T1-Mapping参数与左心室应变参数之间的相关性。方法以2019年8月至2022年8月在孝感市中心医院就诊的T2DM病人82例为研究对象,根据病人的病程分为短期T2DM组40例(病程<5年)和长期T2DM组42例(病程≥5年),以同期招募的健康志愿者40例为对照组。比较各组间左心室应变参数及T1-Mapping参数。采用多元线性逐步回归法分析T1-Mapping参数的影响因素。采用相关性分析T1-Mapping参数与左心室应变参数的相关性。结果短期T2DM组病人左室周向峰值舒张应变率(PDSR)[1.25(0.95,1.50)1/s比1.40(1.20,1.70)1/s]较对照组降低(P<0.05),细胞外体积(ECV)[31.00(29.00,33.50)%比29.00(27.00,32.00)%]较对照组升高(P<0.05)。与对照组比较,长期T2DM组病人左室纵向峰值应变(PS)[−14.50(−12.38,−16.50)%比−16.15(−14.60,−18.30)%]、径向PDSR[(−2.58±0.83)1/s比(−3.32±0.88)1/s]、周向PDSR[0.90(0.70,1.20)1/s比1.40(1.20,1.70)1/s]、纵向PDSR[0.70(0.58,0.90)1/s比1.10(0.80,1.38)1/s]降低(P<0.05),ECV[34.00(32.00,35.00)%比29.00(27.00,32.00)%]升高(P<0.05)。与短期T2DM组比较,长期T2DM组病人左室纵向PS[−14.50(−12.38,−16.50)%比−16.15(−14.45,−18.38)%]、径向PDSR[(−2.58±0.83)1/s比(−3.61±0.76)1/s]、周向PDSR[0.90(0.70,1.20)1/s比1.25(0.95,1.50)1/s]、纵向PDSR[0.70(0.58,0.90)1/s比1.10(0.80,1.30)1/s]降低(P<0.05),ECV[34.00(32.00,35.00)%比31.00(29.00,33.50)%]升高(P<0.05)。多元线性回归分析结果示,糖尿病病程是T2DM病人ECV的独立影响因素(β=0.29,P<0.05)。Spearman相关性分析结果示,T2DM病人ECV与左室纵向PS(r_(s)=0.35,P<0.05)、纵向峰值收缩应变率(PSSR)(r_(s)=0.31,P<0.05)呈显著正相关,与左室周向PDSR(r_(s)=−0.29,P<0.05)、纵向PDSR(r_(s)=−0.43,P<0.05)呈显著负相关。结论心脏磁共振T1-Mapping可能发现T2DM病人早期心肌纤维化,T1-Mapping参数与左心室应变参数显著相关。

Exotic Localized Coherent Structures of New (2+1)-Dimensional Soliton Equation

The variable separation approach is used to obtain localized coherent structures of the new (2+1)-dimensional nonlinear partialdifferential equation. Applying the Backlund transformation and introducing the arbitraryfunctions of the seed solutions, the abundance of the localized structures of this model are derived. Some special types ofsolutions solitoff, dromions, dromion lattice, breathers and instantons are discussed by selecting the arbitrary functionsappropriately. The breathers may breath in their amplititudes, shapes, distances among the peaks and even the numberof the peaks.

A Variable Separation Approach to Solve the Integrable and Nonintegrable Models:Coherent Structures of the (2 + 1)-Dimensional KdV Eqnation

We study the localized coherent structures ofa generally nonintegrable (2+ 1 )-dimensional KdV equation via a variable separation approach. In a special integrable case, the entrance of some arbitrary functions leads to abundant coherent structures. However, in the general nonintegrable case, an additional condition has to be introduced for these arbitrary functions. Although the additional condition has been introduced into the solutions of the nonintegrable KdV equation, there still exist many interesting solitary wave structures. Especially, the nonintegrable KdV equation possesses the breather-like localized excitations, and the similar static ring soliton solutions as in the integrable case. Furthermor,in the integrable case, the interaction between two travelling ring solitons is elastic, while in the nonintegrable case we cannot find even the single travelling ring soliton solution.

Role of 2-dimensional Doppler echo-cardiography in screening portopulmonary hypertension in portal hypertension patients

BACKGROUND: Portopulmonary hypertension (PPH) is difficult to recognize in the early and middle stages because it is frequently asymptomatic. As right ventricular function is impaired in patients with moderate and severe PPH, any dramatic hemodynamic changes in liver transplantation or other procedures may result in death from pulmonary and cardiac events. In this study, we investigated the prevalence of PPH in patients with portal hypertension (PHT) mainly caused by hepatitis B virus, and evaluated the effect of 2-dimensional Doppler echocardiography (2D-ECHO) in screening for PPH. METHODS: One hundred and five PHT patients received transthoracic 2D-ECHO preoperatively, systolic pulmonary arterial pressure (SPAP, normal range <30 mmHg) and pulmonary acceleration time (PAT, normal range >= 120 msec) were measured to screen for PPH (positive result: SPAP >= 30 mmHg and/or PAT <100 msec). Subsequently, pulmonary hemodynamic parameters were measured by right heart catheterization (RHC) for definitive diagnosis of PPH. The results of the two methods were compared to assess the screening effect of 2D-ECHO. RESULTS: The prevalence of PPH in this study was 3.8% (4/105). About 90% (95/105) of patients had a detectable tricuspid regurgitation by 2D-ECHO and the mean SPAP was 27.7 +/- 5.9 mmHg. Twenty-two of these 95 patients had an SPAP >30 mmHg. The mean PAT of all patients was 140 23 msec and 5 were <100 msec. Twenty-two patients were screened out by 2D-ECHO and 4 were diagnosed by RHC. A positive significant correlation (r=0.55, P<0.01) was found between SPAP measured by 2D-ECHO and mean pulmonary artery pressure (MPAP) measured by RHC, and a weak but significant negative correlation (r=-0.27, P=0.005) existed between PAT and pulmonary vascular resistance (PVR). The sensitivity, specificity, agreement rate, positive predictive value and negative predictive value of the screening test were 100%, 82%, 83%, 18% and 100%, respectively. CONCLUSIONS: The prevalence of PPH in this study is lower than in Western countries. As a screening test, 2D-ECHO has very high sensitivity and negative predictive value. A negative test result can directly be used to exclude PPH, while a positive result should be confirmed by RHC.

Study of （2＋1）-Dimensional Higher-Order Broer-Kaup System

Painleve property and infinite symmetries of the （2＋1）-dimensional higher-order Broer-Kaup （HBK） system are studied in this paper. Using the modified direct method, we derive the theorem of general symmetry gro.ups to （2＋1）-dimensional HBK system. Based on our theorem, some new forms of solutions are obtained. We also find infinite number of conservation laws of the （2＋1）-dimensional HBK system.

On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras

A 2-dimension linguistic lattice implication algebra(2DL-LIA)can build a bridge between logical algebra and 2-dimension fuzzy linguistic information.In this paper,the notion of a Boolean element is proposed in a 2DL-LIA and some properties of Boolean elements are discussed.Then derivations on 2DL-LIAs are introduced and the related properties of derivations are investigated.Moreover,it proves that the derivations on 2DL-LIAs can be constructed by Boolean elements.

A New Rational Algebraic Approach to Find Exact Analytical Solutions to a （2＋1）-Dimensional System

In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recovers some known solutions, but also finds some new and general solutions. The solutions obtained in this paper include rational form triangular periodic wave solutions, solitary wave solutions, and elliptic doubly periodic wave solutions. The efficiency of the method can be demonstrated on （2＋1）-dimensional dispersive long-wave equation.

New Exact Solutions for （2＋1）-Dimensional Breaking Soliton Equation

New exact solutions in terms of the Jacobi elliptic functions are obtained to the (2+1)-dimensional breakingsoliton equation by means of the modified mapping method. Limit cases are studied, and new solitary wave solutionsand triangular periodic wave solutions are obtained.

A General Mapping Approach and New Travelling Wave Solutions to（2＋1）-Dimensional Boussinesq Equation

A general mapping deformation method is presented and applied to a (2+1)-dimensional Boussinesq system. Many new types of explicit and exact travelling wave solutions, which contain solitary wave solutions, periodic wave solutions, Jacobian and Weierstrass doubly periodic wave solutions, and other exact excitations like polynomial solutions, exponential solutions, and rational solutions, etc., are obtained by a simple algebraic transformation relation between the (2+1)-dimensional Boussinesq equation and a generalized cubic nonlinear Klein-Gordon equation.

New Complexiton Solutions of （2＋1）-Dimensional Nizhnik-Novikov-Veselov Equations

In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the （2＋ 1 ）-dimensional Nizhnik-Novikov-Veselov equations are obtained which include various combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations.

SARS-CoV-2重组痘苗病毒疫苗rVTT△TK-RBD的构建、筛选及免疫原性研究

目的 构建重组痘苗病毒载体疫苗rVTT△TK-RBD,并评价其安全性和免疫原性。方法 参考严重急性呼吸综合征冠状病毒2(SARS-CoV-2)基因序列合成受体结合域(RBD)基因,并将其插入自主构建的重组质粒pSTKE的多克隆位点上,构建重组痘苗病毒穿梭载体pSTKE-RBD,并转染到预先感染天坛株痘苗病毒(VTT)的BHK-21细胞内,经多轮的荧光噬斑筛选成功获得重组痘苗病毒rVTT△TK-RBD;通过滴鼻方式免疫小鼠后,检测rVTT△TK-RBD对BALB/c小鼠体质量的影响;通过肌肉免疫小鼠后,分析rVTT△TK-RBD对BALB/c小鼠产生的特异性抗体和中和抗体的水平;通过流式细胞术检测rVTT△TK-RBD对BALB/c小鼠T细胞亚群的影响。结果 利用同源重组、增强型绿色荧光蛋白(EGFP)筛选标记和多次荧光噬斑筛选,成功筛选获得了表达RBD的胸腺激酶(TK)基因缺失型重组痘苗病毒rVTT△TK-RBD,且PCR验证成功。BALB/c小鼠体内实验表明rVTT△TK-RBD具有较好的抗SARS-CoV-2的免疫原性且相比于亲本株VTT明显降低了对机体的毒性作用。结论 成功构建并获得SARS-CoV-2重组痘苗病毒疫苗rVTT△TK-RBD并通过各项试验证明其安全性和免疫原性。

‘红福瑞鲤2号’和‘福瑞鲤2号’稻田养殖生长性能对比

研究旨在评估‘红福瑞鲤2号’在福建山区稻田养殖的可行性,并与‘福瑞鲤2号’进行比较以确定其潜在的优势。于2023年8—10月,在武夷山市岚谷乡岚峰稻花鱼养殖基地进行了生长性能对比试验。采用同塘比较法对‘红福瑞鲤2号’和‘福瑞鲤2号’在投饵和不投饵稻田养殖模式下进行生长性能对比分析。经过60 d的养殖试验,结果显示,在相同沟凼式稻田养殖条件下,无论投饵与否,‘红福瑞鲤2号’的成活率、体质量绝对增长率、体质量相对增长率、体质量特定生长率和产量均明显低于‘福瑞鲤2号’。投饵养殖模式下‘红福瑞鲤2号’和‘福瑞鲤2号’的体质量绝对增长率、体质量相对增长率、体质量特定生长率、体长绝对增长率、体长相对增长率和体长特定生长率均明显高于不投饵养殖模式;而在不投饵养殖模式下,‘红福瑞鲤2号’终末和初始平均体质量、平均体长均不存在显著差异。综上所述,初步研究结果表明,在当前的武夷山山区稻田养殖条件下,‘红福瑞鲤2号’相较于‘福瑞鲤2号’并没有表现出生长优势。这一发现为该地区稻田养殖鱼类品种的选择提供了试验参考。