Chaotic Solitons in Deoxyribonucleic Acid (DNA) Interacting with a Plane Wave

Theoretical analysis of the DNA dynamics reveals that interaction between the single solitons and plane wave implies Smale-horseshoe chaos in the double helices. Solutions of the chaotic solitons are derived from a direct perturbation technique. It is demonstrated that to produce the bounded chaotic solitons, velocities of the solit ons nust be the same and equal to propagation velocity of the plane wave in DNA. The result shows that the DNA structure may be destroyed by the long action of an electromagnetic wave. It also supplies a useful method for controlling the velocities and unboundedness of the DNA motion in a tumour cell by using a plane wave.``     

Chaotic Solitons in Deoxyribonucleic Acid (DNA) Interacting with a Plane Wave

Theoretical analysis of the DNA dynamics reveals that interaction between the single solitons and plane wave implies Smale-horseshoe chaos in the double helices. Solutions of the chaotic solitons are derived from a direct perturbation technique. It is demonstrated that to produce the bounded chaotic solitons, velocities of the solitons must be the same and equal to propagation velocity of the plane wave in DNA. The result shows that the DNA structure may be destroyed by the long action of an electromagnetic wave. It also supplies a useful method for controlling the velocities and unboundedness of the DNA motion in a tumour cell by using a plane wave.     

Influences of Temperature and Solvent Ions in Solution on States and Properties of Deoxyribonucleic Acid (DNA)

We here study the influences of the temperature and solvent ions in solution on the states and properties of DNA by a new dynamical model. This model admits three degrees of freedom per base-pair: two displacement variables related to the vibrations of the hydrogen atom in the hydrogen bonds and base (nucleotide), respectively, and an angular variable related to the rotation of each base, which delineate different forms of motion of the hydrogen atom and bases and the relations among them. In this model we stress specially the important role of the hydrogen atom in the hydrogen bonds of the bases in the dynamics of DNA. According to their properties of motion we give the Hamiltonian of the system and the corresponding equations of motion, and find out their soliton solutions. The solitons formed by the displacements of the hydrogen atoms and bases and their rotations are the excitation states arising from the energy absorbed by the DNA working at the biological temperature. We give further the free energy of the thermal excitation state in DNA system by transfer integral way and find out the corresponding specific heat. The specific heat increases with the increasing of the temperature and concentration of the solvent ions in the solution, but is not linear changes in the region of high temperature. If compared with experimental data, they are approximately consistent. Meanwhile we find that the solvent ion concentration influences seriously on the stability, states, and configurations of DNA.     

小牛胸腺DNA分子Langmuir-Blodgett复合膜的表面增强拉曼光谱研究

本文利用Langmuir-Blodgett(LB)技术将小牛胸腺DNA分子沉积在银基底上,测试并讨论了它的π-A等温曲线,原子力图及表面增强拉曼光谱(SERS)。通过利用LB技术,获得了DNA分子的LB复合膜的高质量的SERS。在DNA分子LB膜的表面增强拉曼光谱中,DNA的核糖和碱基腺嘌呤是吸附活性部位,它们的振动光谱得到增强。DNA的其它碱基和磷酸基团的拉曼光谱强度也明显的得到增强。分析认为DNA分子增强的拉曼光谱主要是由于LB膜的有序结构的贡献,使得SERS效应得到进一步的增强。因此利用LB技术是得到DNA的高质量SERS很好的方法。     

Double Elliptic Equation Expansion Approach and Novel Solutions of （2＋1）-Dimensional Break Soliton Equation

In this paper, by means of double elliptic equation expansion approach, the novel double nonlinear wave solutions of the （2＋1）-dimensional break soliton equation are obtained. These double nonlinear wave solutions contain the double Jacobi elliptic function-like solutions, the double solitary wave-like solutions, and so on. The method is also powerful to some other nonlinear wave equations in （2＋1） dimensions.     

Soliton Motion in (1+1)-Dimensions

By using the variable separation approach, which is based on the corresponding Bäcklund transformation, new exact solutions of a (1+1)-dimensional nonlinear evolution equation are obtained. Abundant new soliton motions of the potential field can be found by selecting appropriate functions.     

The Exact Solutions of Some (2 + 1)-Dimensional Integrable Systems

The equivalence of three (2 1)-dimensional soliton equations is proved, and the quite generalsolutionswitha some arbitrary functions of x, t and y respectively are obtained. By selecting the arbitrary functions, many specialtypes of the localized excitations like the solitoff solitons, multi-dromion solutions, lump, and multi-ring soliton solutionsare obtained.     

Solitons and Waves in (2+1)-Dimensional Dispersive Long-Wave Equation

For a higher-dimensional integrable nonlinear dynamical system, there are abundant coherent soliton excitations. With the aid of an improved projective Riccati equation approach, the paper obtains several types of exact solutions to the (2 1)-dimensional dispersive long-wave equation, including multiple-soliton solutions, periodic soliton solutions, and Weierstrass function solutions. From these solutions, apart from several multisoliton excitations, we derive some novel features of wave structures by introducing some types of lower-dimensional patterns.     

Solitons and Waves in （2＋l）-Dimensional Dispersive Long-Wave Equation

For a higher-dimensional integrable nonlinear dynamical system, there are abundant coherent soliton excitations. With the aid of an improved projective Riccati equation approach, the paper obtains several types of exact solutions to the （2＋l）-dimenslonal dispersive long-wave equation, including multiple-soliton solutions, periodic soliton solutions, and Weierstrass function solutions. From these solutions, apart from several multisoliton excitations, we derive some novel features of wave structures by introducing some types of lower-dimensional patterns.     

Effect of Time-Dependent Atomic Scattering Length on Solitons in Bose-Einstein Condensates with a Complex Potential

We consider the one-dimensional nonlinear Schrǒdinger equations that describe the dynamics of a Bose-Einstein Condensates with time-dependent scattering length in a complex potential. Our results show that as long as the integrable relation is satisfied, exact solutions of the one-dimensional nonlinear Schrǒdinger equation can be found in a general closed form, and interactions between two solitons are modulated in a complex potential We find that the changes of the scattering length and trapping potential can be effectively used to control the interaction between two bright soliton.     

The Exact Solutions of Some (2+1)-Dimensional Integrable Systems

The equivalence of three (2+1)-dimensional soliton equations is proved, and the quite general solutions with some arbitrary functions of x, t and y respectively are obtained. By selecting the arbitrary functions, many special types of the localized excitations like the solitoff solitons, multi-dromion solutions, lump, and multi-ring soliton solutions are obtained.     

Jacobi elliptic function solutions to (1 + 1) dimensional nonlinear Schrödinger equation in management system

A new kind of solutions namely elliptic function solutions to the (1 + 1) dimensional nonlinear Schrödinger equation (NLSE) in dispersion, nonlinearity and gain management system are obtained. The solutions are the generalization of analytical solutions to one-dimensional NLSE. The properties of the amplitudes and the phases of the solutions are investigated.     

New doubly periodic and multiple soliton solutions of the generalized （3＋l）-dimensional KP equation with variable coefficients

A new generalized Jacobi elliptic function method is used to construct the exact travelling wave solutions of nonlinear partial differential equations (PDEs) in a unified way. The main idea of this method is to take full advantage of the elliptic equation which has more new solutions. More new doubly periodic and multiple soliton solutions are obtained for the generalized (3+1)-dimensional Kronig－Penny (KP) equation with variable coefficients. This method can be applied to other equations with variable coefficients.     

Multisoliton Solutions of the （3＋1）—Dimensional Nizhnik—Novikov—Veselov Equation

Using the standard truncated Painleve analysis,we can obtain a Backlund transformation of the (3 1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation and get some(3 1)-dimensional single-,two- and three-soliton solutions and some new types of multisoliton solutions of the (3 1)-dimensional NNV system from the Backlund transformation and the trivial vacuum solution.     

具有色散系数的（2＋1）维非线性Schroedinger方程的有理解和空间孤子

非线性Schroedinger方程是物理学中具有广泛应用的非线性模型之一．本文采用相似变换,将具有色散系数的（2＋1）维非线性Schrioedinger方程简化成熟知的Schroedinger方程,进而得到原方程的有理解和一些空间孤子．     

(2+1)-Dimensional Analytical Solutions of the Combining Cubic-Quintic Nonlinear Schrdinger Equation

We investigate analytical solutions of the(2+1)-dimensional combining cubic-quintic nonlinear Schrdinger(CQNLS) equation by the classical Lie group symmetry method.We not only obtain the Lie-point symmetries and some(1+1)-dimensional partial differential systems,but also derive bright solitons,dark solitons,kink or anti-kink solutions and the localized instanton solution.     

Topological structure of the solitons solution in SU(3) Dunne-Jackiw-Pi-Trugenberger model

By using φ-mapping topological current theory and gauge potential decomposition, we discuss the self-dual equation and its solution in the SU(N) Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a δ function. For the SU(3) case, we obtain a new self-duality solution and find the relationship between the soliton solution and topological number which is determined by the Hopf index and Brouwer degree of φ-mapping. In our solution, the flux of this soliton is naturally quantized.     

灿烂绿与DNA作用的紫外-可见光谱的特性及其分析应用

用紫外 -可见光谱法研究了阳离子染料灿烂绿 (Brilliant Green)与脱氧核糖核酸 (fs DNA、ct DNA)相互作用的特性及分析应用。在 p H=8.0— 10 .5条件下 ,6 2 5 nm处的最大吸收峰随着 DNA量的增加 ,吸光度显著下降 ,并表现出一定的线性关系。据此 ,建立了一种可用于 DNA定量测定的新方法。其线性范围分别为 0 .10— 8mg/ L (fs DNA)、0 .15— 7mg/ L (ct DNA) ,表观摩尔吸光系数分别为 :6 .5 2× 10 4、9.0 8× 10 4L· mol-1· cm-1,相关系数分别为 0 .9988、0 .9990。方法具有较高的灵敏度和选择性。用于合成试样分析 ,结果令人满意     

New Compacton Solutions of Nonlinearly Dispersive R(m, n) Equations

In this paper, we establish exact solutions for the R(m,n) equations by using an sn-cn method. As a result, abundant new compactons, i.e. solitons with the absence of infinite wings, new type of Jacobi elliptic function, solitary wave and periodic wave solutions, of this equation are obtained with minimal calculations. The properties of the R(m,n) equations are shown in figures.     

Review of Nontopological Solitons in Theories with U (1)-Symmetry

We provide a review of nontopological solitonic solutions arising in theories with a complex scalar field and global or gauge U(1)-symmetry. It covers Q-balls, homogeneous charged scalar condensates, and nonlinear localized holes and bulges in a classically stable condensate. A historical overview is followed by the discussion of properties of solutions, including their stability, from different perspectives. Solitons in models with additional massive degrees of freedom are also revisited, and their relation to one-field Q-balls is showed. We also discuss theories with a gauge field giving rise to gauged Q-balls and theories with dynamical gravity giving rise to boson stars.