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Classification and Functional Separable Solutions to Extended Nonlinear Wave Equations

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Communications in Theoretical physics 2005年第10期44卷 589-596页

作者： ZHANG Shun--Li lou sen--yue QU Chang--Zheng yue Rui--Hong Institute of Modern physics, Northwest university, Xi'an 710069, china department of Mathematics, Northwest university, Xi'an 710069, china Center of Nonlinear Science, ningbo university, ningbo 315211, china department of physics, shanghai jiao tong university, shanghai 200030, china Institute of Modern physics Northwest University Xi'an 710069 China department of Mathematics Northwest University Xi'an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China department of physics Shanghai Jiao Tong University Shanghai 200030 China

The generalized conditional Symmetry approach is applied to study the variable separation of the extendedwave equations. Complete classification of those equations admitting functional separable solutions is obtained ... 详细信息

关键词： nonlinear wave equations functional separable solutions generalized conditional symmetry

Rational Form Solitary Wave Solutions and Doubly Periodic Wave Solutions to (1+1)-Dimensional Dispersive Long Wave Equation

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Communications in Theoretical physics 2005年第6期43卷 975-982页

作者： WANG Qi CHEN Yong ZHANG Hong-Qing department of Applied Mathematics, Dalian university of Technology, Dalian 116024. china department of Mathematics, ningbo university, ningbo 315211, china department of physics, shanghai jiao tong university, shanghai 200030, china department of Applied Mathematics Dalian University of Technology Dalian 116024 China department of Mathematics Ningbo University Ningbo 315211 China department of physics Shanghai Jiao Tong University Shanghai 200030 China

In this work we devise an algebraic method to uniformly construct rational form solitary wave solutionsand Jacobi and Weierstrass doubly periodic wave solutions of physical interest for nonlinear evolution equations. Withthe aid of symbolic computation, we apply the proposed method to solving the (1+1)-dimensional dispersive long wavethe (1+1)-dmensional dispesive long wavedelliptic donbly periodc wave solutions as special cases.

关键词： elliptic equation rational expansion method rational form solitary wave solutions rational form Jacobi and Weierstrass doubly periodic wave solutions symbolic computation (1+1)-dimensional dispersive long wave equation

Exact Solutions of Bogoyavlenskii Coupled KdV Equations

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Communications in Theoretical physics 2004年第10期 485-487页

作者： HU Heng-Chun~1 lou sen-yue~(1,2)1 department of physics,shanghai jiao tong university,shanghai 200030,china 2 department of physics,ningbo university,ningbo 315211,china

The special soliton solutions of Bogoyavlenskii coupled KdV equations are obtained by means of thestandard Weiss Tabor-Carnvale Painlevé truncation expansion and the nonstandard truncation of a modified Conte’sinvar... 详细信息

关键词： Painlevétruncation expansion coupled KdV equation

Different-Periodic Travelling Wave Solutions for Nonlinear Equations

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Communications in Theoretical physics 2004年第4期41卷 481-486页

作者： YE Li-Jun~1 LIN Ji~(1,2)1 department of physics,Zhejiang Normal university,Jinhua 321004,china2 physics department,shanghai jiao tong university,shanghai 200030,china department of physics Zhejiang Normal University Jinhua 321004 China physics department Shanghai Jiao Tong University Shanghai 200030 China

Using Jacobi elliptic function linear superposition approach for the(1+1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera(CDGSK)equation and the(2+1)-dimensional Nizhnik-Novikov-Veselov(NNV)equation,many new periodic travelling wave solutions with different periods and velocities are obtained based on the knownperiodic *** procedure is crucially dependent on a sequence of cyclic identities involving Jacobi ellipticfunctions sn(ξ,m),cn(ξ,m),and dn(ξ,m).

关键词： linear superposition nonlinear equation travelling wave solution

Exact Solutions for a Higher-Order Nonlinear Schrdinger Equation in Atmospheric Dynamics

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Communications in Theoretical physics 2006年第3期 573-576页

作者： HUANG Fei TANG Xiao-Yan lou sen-yue department of physics,shanghai jiao tong university,shanghai 200030,chinaHUANG Fei department of Marine Meteorology,Ocean university of china,Qingdao 266003,chinalou sen-yue department of physics,ningbo university,ningbo 315211,china department of physics，shanghai jiao tong university，shanghai 200030，china department of Marine Meteorology，Ocean university of china，Qingdao 266003，china department of physics，shanghai jiao tong university，shanghai 200030，china department of physics，shanghai jiao tong university，shanghai 200030，china department of physics，ningbo university，ningbo 315211，china

By giving prior assumptions on the form of the solutions,we succeed to find several exact solutions for ahigher-order nonlinear Schr(o|¨)dinger equation derived from one important model in the study of atmospheric and oceandynamical *** analytical solutions include bright and dark solitary waves,and periodical solutions,which canbe used to explain atmospheric phenomena.

关键词： higher-order nonlinear Schr(o|¨)dinger equation atmospheric dynamics bright solitary wave dark solitary wave

Traveling－Wave　Electrooptical　Modulator　on　Polymeric　Film　with　Reversal　Poling　Structure

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Chinese Journal of Lasers 1994年第1期B3卷 57-61页

作者： ZHOU Yi CHEN Yixin(department of Applied physics, shanghai jiao tong university, shanghai200030, china)SUN Shiping(department of Electronical Engineering ,shanghai jiao tong university , shanghai 200052, china) shanghai jiaotong Univ Shanghai China

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Ｔｒａｖｅｌｉｎｇ－ＷａｖｅＥｌｅｃｔｒｏｏｐｔｉｃａｌＭｏｄｕｌａｔｏｒｏｎＰｏｌｙｍｅｒｉｃＦｉｌｍｗｉｔｈＲｅｖｅｒｓａｌＰｏｌｉｎｇＳｔｒｕｃｔｕｒｅ￥ＺＨＯＵＹｉ；ＣＨＥＮＹｉｘｉｎ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＰｈｙｓｉｃｓ，Ｓ...

关键词： reversal poling Electrooptical effect modulator

A Series of Soliton-like and Double-like Periodic Solutions of a (2+1)-Dimensional Asymmetric Nizhnik-Novikov-Vesselov Equation

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Communications in Theoretical physics 2004年第11期42卷 655-660页

作者： CHEN Yong,~(1,3,4, WANG Qi~(2,4) LI Biao~(2,4) ~1department of Mathematics,ningbo university,ningbo 315211,china ~2department of Applied Mathematics,Dalian university of Technology,Dalian 116024,china ~3department of physics,shanghai jiao tong university,shanghai 200030,china ~4Key Laboratory of Mathematics Mechanization~ the Chinese Academy of Sciences,Beijing 100080,china department of Mathematics Ningbo University Ningbo 315211 China department of physics Shanghai Jiao Tong University Shanghai 200030 China Key Laboratory of Mathematics Mechanization the Chinese Academy of Sciences Beijing 100080 China department of Applied Mathematics Dalian University of Technology Dalian 116024 China

We generalize the algebraic method presented by Fan [***.A:***.36 (2003) 7009)] to uniformlyconstruct a series of soliton-like solutions and double-llke periodic solutions for nonlinear partial differential equations(NPDE),As an application of the method,we choose a (2+1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equa-tion and successfully construct new and more general solutions including a series of nontraveling wave and coefficientfunctions’ soliton-like solutions,double-like periodic and trigonometric-like function solutions.

关键词： symbolic computation soliton-like solution Weierstrass and Jacobi elliptic functions periodic solution

Characterization of Annealed, Proton Exchange Optical Waveguides in Y-cut MgO∶LiNbO3 Crystal

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Chinese Journal of Lasers 2000年第3期9卷 47-51页

作者： CAO Xia XIA Yuxing YANG Yi WANG Pinghe CHEN Xianfeng (department of Applied physics, shanghai jiao tong university, shanghai 200030, china) 上海交通大学上海

It is reported the results of a systematic study on planar w aveguides fabricated in Y-cut MgO∶LiNbO 3 crystal. The index profile of the as-exchanged waveguide can be modeled as a step-like one. It is deduced the diffusion coefficient and the activation energy for the proton exchange process. The surface index increases Δn e of around 0.127 after proton exchange can be reduced by post thermal annealing. The effects of the annealing on the index profile and guide depth were found not as fast as it does on a pure LiNbO 3 crystal.

关键词： proton exchange MgO∶LiNbO 3 crystal optical waveguides refractive index profile

Relations Between Characteristic Function,Positive P-Representation and Coherent Thermal State

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Communications in Theoretical physics 2007年第7期48卷 67-70页

作者： FAN Hong-Yi XU Xing-Lei department of Material Science and Engineering,university of Science and Technology of china,Hefei 230026,china2 department of physics,shanghai jiao tong university,shanghai 200030,china3 department of physics,Heze university,Heze 274015,china department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China department of physics Shanghai Jiao Tong University Shanghai 200030 China department of physics Heze University Heze 274015 China

We employ the coherent thermal states(a kind of entangled states)in thermal field dynamics to establisha complete entangled state formalism expressing pseudo-classical representations of density operator for light ***,the relationship between the coherent thermal state and the characteristic function and the positive Prepresentation in quantum optics theory are obtained.

关键词： coherent thermal state characteristic function positive P-representation

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