Painlev property of the modified C-KdV equation and its exact solutions

In this paper,the Painlev’e properties of the modified C-KdV equation are verified by using the W-K algorithm.Then some exact soliton solutions are obtained by applying the standard truncated expansion method and the nonstandard truncated expansion method with the help of Maple software,respectively.     

Integrability of an extended （2＋1）-dimensional shallow water wave equation with Bell polynomials

We investigate the extended (2+1)-dimensional shallow water wave equation. The binary Bell polynomials are used to construct bilinear equation, bilinear Bcklund transformation, Lax pair, and Darboux covariant Lax pair for this equation. Moreover, the infinite conservation laws of this equation are found by using its Lax pair. All conserved densities and fluxes are given with explicit recursion formulas. The N-soliton solutions are also presented by means of the Hirota bilinear method.     

Regarding the 21S0 and 23S1 multiplets

<正>This paper discusses the masses and possible members of 2¹S₀ and 2³S₁ meson multiplets in the framework of meson-meson mixing and Regge phenomenology.For the 2¹S₀ meson nonet,K^*（1460） may be the observed state of the 2¹S₀ isodoublet with a mass of 1400 MeV and the mass ofω（1420） is 1412 MeV.For the 2³S₁ meson nonet,K^*（1410） seems too light to be the 2³S₁ ns member.The fact that the agreement between the present findings and those given by experiments and other different approaches is satisfactory implies that the assignments in this paper may be reasonable.     

二组元酞菁固相混合法裂解合成直立碳纳米管

通过向两种金属酞菁的混合物添加一定量的硫粉,在800～950 ℃裂解合成了大面积的直立碳纳米管。采用场发射扫描电镜(FE-SEM)、高分辨透射电镜(HRTEM)和拉曼光谱对产物进行了观察和表征,结果显示：所合成的碳纳米管(直径为15～35 nm,长度为200～800 nm)管身平直,具有很好的石墨化程度,且杂质很少。采用两种金属酞菁((M(Ⅱ)Pc, M=Fe, Co))进行混合裂解时,既可以提供碳源,而且可以产生相当均匀的催化剂颗粒,有利直立碳纳米管的沉积。这种将两种酞菁进行固相混合裂解的方法,相当安全高效,有利于大规模生产直立碳纳米管。     

Lax pair,conservation laws,and multi-shock wave solutions of the DJKM equation with Bell polynomials and symbolic computation

The integrability and multi-shock wave solutions of the DJKM equation are studied by means of Bell polynomials scheme, Hirota bilinear method, and symbolic computation. A more generalized bilinear system of the DJKM equation is constructed via Bell polynomials scheme. Moreover, Lax pair and infinite conservation laws of this equation are first obtained via its corresponding Bell-polynomials-type Bäcklund transformation. Furthermore, the multi-shock wave solutions are also obtained by applying standard Hirota bilinear method, and the propagation and collision of shock waves are graphically demonstrated by graphs.     

On the integrability of the (1+1)-dimensional and (2+1)-dimensional Ito equations

Under investigation in this paper are the (1+1)-dimensional and (2+1)-dimensional Ito equations. With the help of the Bell polynomials method, Hirota bilinear method and symbolic computation, the bilinear representations, N-soliton solutions, bilinear Bäcklund transformations and Lax pairs of these two equations are obtained, respectively. In particular, we obtain a new bilinear form and N-soliton solutions of the (2+1)-dimensional Ito equation. The bilinear Bäcklund transformation and Lax pair of the (2+1)-dimensional Ito equation are also obtained for the first time. Copyright © 2014 John Wiley & Sons, Ltd.     

泡沫镍负载的NiCo2O4纳米线阵列电极的超级电容性能

采用无模板自然生长法制备了泡沫镍支撑的NiCo₂O₄纳米线阵列电极, 利用扫描电镜(SEM)和透射电镜(TEM)观测了纳米线的表面形貌, 利用X射线衍射(XRD)分析了纳米线的结构, 通过循环伏安、恒流充放电和交流阻抗测试了电极的超级电容性能. 结果表明: NiCo₂O₄纳米线直径约为500-1000 nm、长度约为10 μm, 垂直且密集地生长在泡沫镍骨架上. 纳米线阵列电极的放电比容量高达741 F·g^-1, 循环420次后比容量仍保持在655 F·g^-1, 电化学阻抗测试其电荷传递电阻仅为0.33 Ω, 420次循环后电荷传递电阻仅增加0.06 Ω.     

A coupled KdV system: Consistent tanh expansion,soliton-cnoidal wave solutions and nonlocal symmetries

In this paper, a coupled KdV system is shown to be solvable, having a consistent tanh expansion solution. From the consistent tanh expansion solution, a kind of soliton-cnoidal interaction solution is obtained explicitly. Moreover, the nonlocal symmetries related to the truncated Painlevé expansion and the corresponding transformation groups are also given.     

Two New Expanding Lie Algebras and Their Integrable Models

A new Lax integrable hierarchy is obtained by constructing an isospectraJ problem with constrained conditions. Two kinds of integrable couplings are obtained by constructing two new expanding Lie algebras of the Lie algebra Be, respectively.     

Visible Light and Microwave-Mediated Rapid Trapping and Release of Singlet Oxygen Using a Coordination Polymer

Due to its high reactivity and oxidative strength, singlet oxygen (¹O₂) is used in a variety of fields including organic synthesis, biomedicine, photodynamic therapy and materials science. Despite its importance, the controlled trapping and release of ¹O₂ is extremely challenging. Herein, we describe a one-dimensional coordination polymer, CP1 , which upon irradiation with visible light, transforms ³O₂ (triplet oxygen) to ¹O₂. CP1 consists of Cd^II centers bridged by 9,10-bis((E)-2-(pyridin-4-yl)vinyl)anthracene ligands which undergo a [4+2] cycloaddition reaction with ¹O₂, resulting in the generation of CP1−¹O₂ . Using microwave irradiation, CP1−¹O₂ displays efficient release of ¹O₂, over a period of 30 s. In addition, CP1 exhibits enhanced fluorescence and has an oxygen detection limit of 97.4 ppm. Theoretical calculations reveal that the fluorescence behaviour is dominated by unique through-space conjugation. In addition to describing a highly efficient approach for the trapping and controlled release of ¹O₂, using coordination polymers, this work also provides encouragement for the development of efficient fluorescent oxygen sensors.