摘要：
The process of heat conduction in one-dimensional dimerized systems is studied by means of numerical simulation. Taking into account the difference between the strong bond and the weak one of the systems, our calculation indicates that heat conduction in the lattice is anomalous. For the typical parameter related to a real physical system, the divergent exponent is shown to be in agreement with that predicted by the mode-coupling theory. Moreover, our study shows that the homogeneous chain is the best thermal conductor.
作者机构：
School of Mathematics and Physics, Yunnan University, Kunming 650091, China;[Li, Dong-Long] Department of Information and Computing Science, Guangxi Institute of Technology, Liuzhou 545005, China;Institute of Mathematical Sciences, Chinese University of Hong Kong, Hong Kong, Hong Kong;[Li, Shao-Lin] Department of Mathematics, Honghe College, Mengzi 661100, China;[Zhu, Ai-Jun] School of Mathematics and Physics, Nanhua University, Hengyang 421001, China
通讯机构：
[Dai, Z.-D.] S;School of Mathematics and Physics, , Kunming 650091, China
作者机构：
[周祖英; 鲍杰; 黄翰雄; 刘永辉; 唐洪庆] China Institute of Atomic Energy, P.O. Box 275-46, Beijing 102413, China;[付强] Department of Physics, Nanhua University, Hengyang 421000, China;[杨健] Department of Physics, Lanzhou University, Lanzhou 730000, China
通讯机构：
China Institute of Atomic Energy, P.O. Box 275-46, China
作者机构：
[崔振东; 唐益群] Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China;[郭长青] School of Mathematics and Physics, Nanhua University, Hengyang 421001, China
通讯机构：
Department of Geotechnical Engineering, Tongji University, China
摘要：
The Schur-convexity and Schur-geometric-convexity of a class of symmetric functions are investigated. As consequences some new proofs of the well-known Ky Fan's inequality and Shapiro's inequality are presented, respectively. We also give another proof of a problem posted by S. Gabler in [S. Gabler, Aufgabe 830, Elem. Math. 3 (1980) 124-125]. Some interesting matrix and geometric inequalities are established to show the applications of our results. (c) 2007 Elsevier Inc. All rights reserved.
摘要：
In this Letter, we consider a nonlinear Schrodinger (NLS) equation iu(l) + u(xx) = -(vertical bar u vertical bar(2) - 1)u and obtain the explicit expressions of two new series of homoclinic and heteroclinic orbit solutions by utilizing the bilinear forms. When this equation is perturbed, we find that the homoclinic orbits degenerate but the heteroclinic orbits still exist. At the same time. the explicit expression of heteroclinic orbit solution to perturbed NLS equation is given by applying variable transformation. Moreover. the relation between global attractor and heteroclinic orbit is investigated. (c) 2006 Elsevier B.V. All rights reserved.
作者机构：
Department of Mathematics and Physics, Nanhua University, Hengyang 421001, China;[Tang, Yi] Institute of Modern Physics, Xiangtan University, Xiangtan 411105, China;[Li, Xin-Xia] Department of Mathematics and Physics, Nanhua University, Hengyang 421001, China<&wdkj&>Institute of Modern Physics, Xiangtan University, Xiangtan 411105, China
通讯机构：
[Li, X.-X.] D;Department of Mathematics and Physics, , Hengyang 421001, China
作者机构：
[Dai Zheng-De] School of Mathematics and Physics, Yunnan University;[Li Shao-Lin] Department of Mathematics, Honghe College;[Li Dong-Long] Department of Information and Computing Science, Guangxi Institute of Technology;[Zhu Ai-Jun] School of Mathematics and Physics, Nanhua University
通讯机构：
[Dai, ZD ] ;Yunnan Univ, Sch Math & Phys, Kunming 650091, Peoples R China.
关键词：
Bifurcation;Soliton;Kadomtsev-Petviashvili
摘要：
The spatial--temporal bifurcation for Kadomtsev--Petviashvili (KP) equations is considered. Exact two-soliton solution and doubly periodic solution to the KP-I equation, and two classes of periodic soliton solutions in different directions to KP-II are obtained using the bilinear form, homoclinic test technique and temporal and spatial transformation method, respectively. The equilibrium solution u_0=-1/6, a unique spatial--temporal bifurcation which is periodic bifurcation for KP-I and deflexion of soliton for KP-II, is investigated.
