Existence of gap solitons in periodic discrete nonlinear Schrödinger equations

In this paper, we discuss how to use the critical point theory to study the existence of gap solitons for periodic discrete nonlinear Schrödinger equations. An open problem proposed by Professor Alexander Pankov is solved.     

The homogeneous balance method and its application to the Benjamin-Bona-Mahoney (BBM) equation

We make use of the homogeneous balance method and symbolic computation to construct new exact traveling wave solutions for the Benjamin-Bona-Mahoney (BBM) equation. Many new exact traveling wave solutions are successfully obtained, which contain rational and periodic-like solutions. This method is straightforward and concise, and it can also be applied to other nonlinear evolution equations.     

New exact solutions to some variable coefficients problems

With the aid of computer symbolic computation system such as Maple, an extended tanh method is applied to determine the exact solutions for some nonlinear problems with variable coefficients. Several new soliton solutions and periodic solutions can be obtained if we taking paraments properly in these solutions. The employed methods are straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.     

Soliton solutions for (2 + 1)-dimensional and (3 + 1)-dimensional K(m, n) equations

We consider the nonlinear dispersive K(m,n) equation with the generalized evolution term and derive analytical expressions for some conserved quantities. By using a solitary wave ansatz in the form of sech^p function, we obtain exact bright soliton solutions for (2 + 1)-dimensional and (3 + 1)-dimensional K(m,n) equations with the generalized evolution terms. The results are then generalized to multi-dimensional K(m,n) equations in the presence of the generalized evolution term. An extended form of the K(m,n) equation with perturbation term is investigated. Exact bright soliton solution for the proposed K(m,n) equation having higher-order nonlinear term is determined. The physical parameters in the soliton solutions are obtained as function of the dependent model coefficients.     

1-Soliton solution and conservation laws for the Jaulent-Miodekequation with power law nonlinearity

This paper obtains the 1-soliton solution of the Jaulent-Miodek equation with power law nonlinearity. The solitary wave ansatz is used to obtain the soliton solution to this equation. Subsequently, the conserved quantities are computed using the invariance and multiplier approach based on the well known result that the Euler-Lagrange operator annihilates the total divergence.     

光源啁啾对平均孤子通信系统的影响

研究了光源啁啾对平均孤子通信系统传输特性的影响,指出平均孤子通信系统中弱啁啾光源的补偿方法。     

自变陡和三阶色散对飞秒光孤子脉冲的影响

根据我们最近得到的准确的孤子解，讨论了自变陡和三阶色散对飞秒光孤子脉冲的影响．     

化学中的孤子

本文根据有机导电材料的基本特征,从化学的角度讨论了孤子、极化子的产生、结构和性质。对其它化学体系中的孤子和极化子模型做了简单介绍。     

高分子链通过机械化学反应的信息、能量协同激发实现化学能直接转换为机械能研究的新进展

机械化学反应是指将化学能与机械能直接相互转换的过程。由于机械化学反应可将化学能和机械能直接相互转换,并且有无污染、无噪音、无废物排放和能量转换高等特点,因而正日趋受到世界各国,尤其是发达国家的关注。信息文明的时代一定会有与之相应的物质和能量与信息状态的转换相伴,掌握信息和使用信息是这个时代发展的必然要求。为此,作者通过对高分子物质激发态的分析,从物质、能量和信息三者协同的角度对机械化学反应的原理进行了探讨,并试图用孤子激发来阐明化学能和机械能相互直接转换的原因。随着高分子合成技术的不断发展,我们有可能通过用机械化学反应的手段来为信息文明的时代找到并提供一种新的能源和能量转换方式,并且有可能会导致新的产业革命。     

色散缓变光纤中皮秒孤子脉冲的压缩

本文实验研究了孤子脉冲在色散缓变光纤中传输时的动力学特性,发现孤子脉冲在色散缓变光纤中能被压缩.采用500米色散缓变光纤,成功将4.4ps的孤子脉冲压缩到830fs,脉冲压缩比为5.3.色散缓变光纤中孤子脉冲压缩的实验研究为超短光脉冲压缩提供了新的途径和方法.