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长短波相互作用方程的Jacobi椭圆函数求解

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物理学报 2003年第11期52卷 2660-2663页

作者：郭冠平张解放浙江师范大学教育科学与技术学院金华321004 上海大学应用数学和力学研究所

推广了Jacobi椭圆函数展开方法 ,研究了复非线性演化方程组的求解问题 ,得到了长短波相互作用方程的准确包络周期解 .该结果在一定条件下包含了相应的孤波解 .

关键词：长短波相互作用方程孤波解 Jacobi椭圆函数法非线性科学行波解数学物理方法

Nonautonomous bright solitons and soliton collisions in a nonlinear medium with an external potential

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Chinese physics B 2012年第5期21卷 145-152页

作者：李画眉葛龙何俊荣 Department of physics Zhejiang Normal University

We present exact bright multi-soliton solutions of a generalized nonautonomous nonlinear Schroinger equation with time-and space-dependent distributed coefficients and an external potential which describes a pulse propagating in nonlinear media when its transverse and longitudinal directions are nonuniformly *** solutions exist in certain constraint conditions on the coefficients depicting dispersion,nonlinearity,and gain（loss）.Various shapes of bright solitons and interesting interactions between two solitons are *** applications of interest to the field and stability of the solitons are discussed.

关键词： generalized nonautonomous nonlinear Schrodinger equation multi-soliton solution,Fourier-synthesized optical lattice potential flying bird potential

DIFFERENCE SCHEMES WITH NONUNIFORM MESHES FOR nonlinear PARABOLIC SYSTEM

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Journal of Computational Mathematics 1996年第4期14卷 319-335页

作者： Y.L. Zhou(Laboratory of Computational physics, Centre for nonlinear Studies, institute of Appliedphysics and Computational Mathematics, Beijing, china) INST APPL PHYS & COMPUTAT MATH CTR NONLINEAR STUDIESLAB COMPUTAT PHYSBEIJING 100088PEOPLES R CHINA

The boundary value problem for the nonlinear parabolic system is solved by the finite difference method with nonuniform meshes. The existence and a priori estemates of the discrete vector solutions for the general difference schemes with unequal meshsteps are established by the fixed point technique. The absolute and relative convergence of the discrete vector solution are justified by a series of a priori estimates. The analysis of mentioned problems are based on the assumption of heuristic character concerning the existence of the unique smooth solution for the original problem of the nonlinear parabolic system.

关键词： Math QT DIFFERENCE SCHEMES WITH NONUNIFORM MESHES FOR nonlinear PARABOLIC SYSTEM

Challenges in the theoretical investigations of lipid membrane configurations

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Chinese physics B 2013年第2期22卷 36-44页

作者：涂展春 Department of physics Beijing Normal University Kavli institute for Theoretical physics china Chinese Academy of Sciences

We report some key results in the theoretical investigations of configurations of lipid membranes and present several challenges in this field,which involve（i）the exact solutions to the shape equation of lipid vesicles,（ii）the exact solutions to the governing equations of open lipid membranes,（iii）the neck condition of two-phase vesicles in the budding state,（iv） the nonlocal theory of membrane elasticity,and（v）the relationship between the symmetry and the magnitude of the free energy.

关键词： configuration lipid membrane

Long time behavior for damped generalized coupled nonlinear wave equations. Ⅱ.Unbounded domain

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Communications in nonlinear Science and Numerical Simulation 2001年第2期6卷 107-110页

作者： Shaomei FANG and Boling GUO Department of Mathematics, Shaoguan university, Shaoguan 512005, china Graduate School, china Academy of Engineering physics, Beijing 100088, china Center for nonlinear Studies, institute of Applied physics and Computational Department of Mathematics Shaoguan University Shaoguan 512005 China Graduate School China Academy of Engineering Physics Beijing 100088 China Center for nonlinear Studies Institute of Applied Physics and Computational mathematics Beijing 100088 China

In this paper, by using a priori estimates in the weighted space, the existence of the global attractor for the damped generalized coupled nonlinear wave equations in an unbounded domain is obtained.

关键词： unbounded domain weighted space attractor

Dynamics of optical rogue waves in inhomogeneous nonlinear waveguides

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Chinese physics B 2013年第5期22卷 330-334页

作者：张解放金美贞何纪达楼吉辉戴朝卿 zhejiang university of Media and Communications institute of nonlinear physics Zhejiang Normal University School of Sciences Zhejiang Agriculture and Forestry University

We propose a unified theory to construct exact rogue wave solutions of the （2＋1）-dimensional nonlinear Schr6dinger equation with varying coefficients. And then the dynamics of the first- and the second-order optical rogues are investigated. Finally, the controllability of the optical rogue propagating in inhomogeneous nonlinear waveguides is discussed. By properly choosing the distributed coefficients, we demonstrate analytically that rogue waves can be restrained or even be annihilated, or emerge periodically and sustain forever. We also figure out the center-of-mass motion of the rogue waves.

关键词： rogue wave (2+ 1)-dimensional nonlinear Schrodinger equation inhomogeneous nonlinear waveg-uides

B→K~*γ Decay in Top-Quark Two-Higgs-Doublet Model

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Communications in Theoretical physics 2006年第11期46卷 895-900页

作者： XIAO Zhen-Jun,~+ CHENG Hui-Hui, and L Lin-Xia Department of physics and institute of Theoretical physics, Nanjing normal university, Nanjing 210097, china Department of physics Nanjing Normal University institute of Theoretical physics Nanjing Normal University

By employing the QCD factorization approach for the exclusive B→Vγ decays, we study the exclusive decay B→K~*γ in the top-quark two-Higgs-doublet model (T2HDM). Within the considered parameter space, we find the following conclusions (a) A light charged-Higgs boson with a mass about 200 GeV is clearly excluded by the date of B→K~*γ decay, and this lower limit is comparable with that from the inclusive B→Xγ decay; (b) The theoretical predictions for CP asymmetry of B→K~*γ in the T2HDM is always less than 1% in size; and (c) The isospin symmetry breaking for B→K~*γ decay in the SM and T2HDM considered here is around 6% in size and well consistent with the data and the general expectations.

关键词： B meson decay charged-Higgs boson branching ratio CP asymmetry

New Solitary Wave Solution of the Combined KdV and mKdV Equation

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浙江海洋学院学报（人文科学版） 1997年第3期14卷 30-34页

作者： Jiefang Zhanginstitute of nonlinear physics and Deraftment of physics, zhejiang normal university, jinhua 32.004, zhejiang, P. R. china

This paper presents two different methods for the construction of new exactsolitary wave solutions to the combined KdV and mKdV *** existtwelve types of soliton solutions which will reduce back to those of the *** exi... 详细信息

关键词：山口

Accurate studies on dissociation energies of diatomic molecules

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Science china(physics,Mechanics & Astronomy) 2007年第5期50卷 611-621页

作者： SUN WeiGuo1, FAN QunChao1 & REN WeiYi1,2 1 institute of physics, Sichuan university, Chengdu 610065, china 2 institute of Theoretical physics, Xihua normal university, Nanchong 637002, china institute of physics Sichuan University Chengdu 610065 China institute of Theoretical physics Xihua Normal University Nanchong 637002 China

The molecular dissociation energies of some electronic states of hydride and N2 molecules were studied using a parameter-free analytical formula suggested in this study and the algebraic method (AM) proposed recently. The results show that the accurate AM dissociation energies DeAM agree excellently with experimental dissociation energies Deexpt, and that the dissociation energy of an electronic state such as the 23Δg state of 7Li2 whose experimental value is not available can be predicted using the new formula.

关键词： algebraic method, diatomic molecule, vibrational energy, dissociation energy