A Super Camassa–Holm Equation with N‐Peakon Solutions

A super Camassa–Holm equation with peakon solutions is proposed, which is associated with a 3 × 3 matrix spectral problem with two potentials. With the aid of the zero‐curvature equation, we derive a hierarchy of super Harry Dym type equations and establish their Hamiltonian structures. It is shown that the super Camassa–Holm equation is exactly a negative flow in the hierarchy and admits exact solutions with N peakons. As an example, exact 1‐peakon solutions of the super Camassa–Holm equation are given. Infinitely many conserved quantities of the super Camassa–Holm equation and the super Harry Dym type equation are, respectively, obtained.     

Riemann–Hilbert approach and N-soliton solutions for a new two-component Sasa–Satsuma equation

Nonlinear Dynamics - A new two-component Sasa–Satsuma equation associated with a $$4\times 4$$ matrix spectral problem is proposed by resorting to the zero-curvature equation....     

Uranium(VI) adsorption on montmorillonite colloid

Journal of Radioanalytical and Nuclear Chemistry - Montmorillonite colloid was synthesized and characterized and the adsorption of U(VI) on colloid as a function of contact time, temperature,...     

Synthesis and characterization of CTAB-modified bentonite composites for the removal of Cs+

Journal of Radioanalytical and Nuclear Chemistry - An organic compound adsorbent is prepared by modifying acid-activated bentonite with cetyltrimethylammonium bromide (CTAB). The physical and...     

摩擦诱导生物燃料碳烟微粒组分与结构变化机制研究

摩擦会诱导碳烟微粒参与润滑膜形成,但对润滑界面碳烟微粒组分和结构变化研究较少.为了进一步丰富碳烟摩擦学理论,在端面摩擦试验机上,分别以3%(质量分数)生物燃料碳烟(BS)污染的液体石蜡和CD SAE 15W-40全配方油为润滑油,探索了摩擦力诱导及Ti F3和Fe F3的催化作用下,BS微粒组分和结构的变化情况.利用XPS对摩痕区域表面膜碳元素Csp2和Csp3含量进行了定性定量表征;利用拉曼光谱仪分析了表面膜碳烟微粒结构变化,并对BS微粒组分和结构变化机制进行了讨论.结果表明:在294 N、1 500 r/min,催化剂Ti F3和Fe F3存在下,无定型碳含量降低(R3降低),表面有序化石墨烯含量明显增多(ID2/IG’增加),表面石墨烯缺陷位点明显增多(ID1/IG’).碳烟微粒在摩擦剪切及摩擦热的作用下,其外层结构容易发生剥离并在摩擦副表面形成润滑膜,然后因Ti F3和Fe F3的催化作用,润滑膜中碳元素会向有序化石墨烯转化.     

Darboux transformation for an integrable generalization of the nonlinear Schr?dinger equation

A Darboux transformation for an integrable generalization of the coupled nonlinear Schr?dinger equation is derived with the help of the gauge transformation between the Lax pair. As a reduction, a Darboux transformation for an integrable generalization of the nonlinear Schr?dinger equation is obtained, from which some new solutions for the integrable generalization of the nonlinear Schr?dinger equation are given.     

Large Eddy Simulation of Compressible Subsonic Turbulent Jet Starting From a Smooth Contraction Nozzle

Compressible subsonic turbulent starting jet with a relatively large Reynolds number of significant practical importance is investigated using large eddy simulation (LES), starting from a smooth contraction nozzle. The computational domain of truncated conical shape is determined through the comparison of the time-averaged numerical solution with the particle imaging velocimetry measurements for the steady jet. It is shown that the starting jet consists of a leading vortex ring followed by a quasi-steady jet, and the instantaneous velocity field exhibits contraction and expansion zones, corresponding to the high pressure (HP) and low pressure (LP) regions formed by the convecting vortex rings, and are related to the Kelvin-Helmholtz instability. The thin boundary layer inside the smooth contraction nozzle evolves into a shear layer at the nozzle exit and develops with the downstream penetration of the jet. Using λ ₂ criterion, the formation and evolution of the vortical structures are temporally visualized, illustrating distortion of vortex rings into lobed shapes prior to break-down. Rib-shape streamwise vortex filaments exist in the braid region between a pair of consecutive vortex rings due to secondary instabilities. Finally, formation and dynamics of hairpin vortices in the shear layer is identified.     

Finite-Band Solutions for the Hierarchy of Coupled Toda Lattices

Based on the characteristic polynomial of Lax matrix for the hierarchy of coupled Toda lattices associated with a \(3\times3\) discrete matrix spectral problem, we introduce a trigonal curve with two infinite points, from which we establish the associated Dubrovin-type equations. The asymptotic properties of the meromorphic function and the Baker-Akhiezer function are studied near two infinite points on the trigonal curve. Finite-band solutions of the entire hierarchy of coupled Toda lattices are obtained in terms of the Riemann theta function.     

PEI-g-MPEG/白细胞介素-10基因传递系统转染背根神经节细胞的体外性能研究

探索非病毒基因载体聚乙二醇-聚乙烯亚胺共聚物(PEI-g-MPEG)介导白细胞介素-10(Interleukin-10,IL-10)体外转染原代培养背根神经节细胞(dorsal root ganglion cells,DRGs)的效果.采用本实验室设计合成的PEI-g-MPEG,与同时携带增强型绿色荧光蛋白报告基因及IL-10基因的真核表达质粒DNA(pDC316-EGFP/IL-10)形成复合物,以脂质体(lipofectamine)复合体系Lipo/pDNA为对照,通过溴乙啶(ethidiumbromide,EB)排斥实验、凝胶阻滞电泳实验、粒径与电位的测定及扫描电镜等实验方法观察PEI-g-MPEG/pDNA的复合效果.并且检测了复合物对DRGs的毒性、转染效果及IL-10的蛋白表达情况.结果表明,PEI-g-MPEG在N/P(PEI-g-MPEG所含的氮原子和质粒DNA中磷原子的摩尔比)为5时可完全复合pDNA;随着N/P的增大,PEI-g-MPEG/pDNA复合物的粒径逐渐减小,而表面电位逐渐增大;在N/P为15时报告基因转染效果和IL-10蛋白表达情况较好,复合物的形貌呈大小均一的球形.PEI-g-MPEG/IL-10基因传递系统对于神经病理性疼痛的基因治疗具有潜在应用价值.