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Cylindrical KP-Burgers Equation for Two-Temperature Ions in Dusty Plasma with Dissipative Effects and Transverse Perturbations

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Communications in Theoretical Physics 2006年第2X期46卷 313-318页

作者： WANG Yue-Yue zhang jie-fang Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

In this paper, the cylindrical KP-Burgers equation with variable coefficient for two-temperature ions in unrsagnified dusty plasma with dissipative effects and transverse perturbations in cylindrical geometry is derived by using the standard reductive perturbation technique. With the help of variable-coeiffcient generalized projected Ricatti equation expansion method, the cylindrical KP-Burgers equation is solved and shock wave solution is obtained. The effecta of some important parameters to the shock wave solution are illustrated from the wave evolution figures. The effects caused by dissipation and transverse perturbations are also discussed.

关键词： dusty plasma KP-Burgers equation shock wave

Multisoliton Solutions of the (2+1)-Dimensional KdV Equation

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Communications in Theoretical Physics 2001年第11期36卷 523-524页

作者： zhang jie-fang HUANG Wen-Hua Institute of Nonlinear Physics Zhejiang Normal UniversityJinhua 321004China Institute of Nonlinear PhysicsZhejiang Normal UniversityJinhua 321004China Department of Physics Jiangxi Yichun CollegeYichun 336000China

Using the extension homogeneous balance method,we have obtained some new special types of soliton solutions of the (2+1)-dimensional KdV *** from the homogeneous balance method,one can obtain a nonlinear transformation to simple (2+1)-dimensional KdV equation into a linear partial differential equation and two bilinear partial differential ***,one can obtain only a kind of soliton-like *** this letter,we find further some special types of the multisoliton solutions from the linear and bilinear partial differential equations.

关键词： multisoliton,(2+1)-dimensions,KdV equation

Exact Travelling Solutions of Discrete sine-Gordon Equation via Extended Tanh-Function Approach

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Communications in Theoretical Physics 2006年第1X期46卷 23-27页

作者： DAI Chao-Qing zhang jie-fang Department of Information Physics School of Sciences Zhejiang Forestry University Lin'an 311300 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

In this paper, we generalize the extended tanh-function approach, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations, to nonlinear differential-difference equations. As illustration, two series of exact travelling wave solutions of the discrete sine-Gordon equation are obtained by means of the extended tanh-function approach.

关键词： discrete sine-Gordon equation exact travelling wave solution extended tanh-function approach

Abundant Multisoliton Structures of the Generalized Nizhnik-Novikov-Veselov Equation

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Communications in Theoretical Physics 2002年第10期38卷 395-399页

作者： zhang jie-fang CHEN Feng-Juan College of Mathematics Physics and Information Zhejiang Normal University Jinhua 321004 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China College of Mathematics Physics and Information Zhejiang Normal University Jinhua 321004 China

Using the extended homogenous balance method, we obtainabundant exact solution structures ofa (2+1)dimensional integrable model, the generalized Nizhnik-Novikov-Veselov equation. By means of the leading order termanalysis, the nonlinear transformations of generalized Nizhnik-Novikov-Veselov equation are given first, and then somespecial types of single solitary wave solution and the multisoliton solutions are constructed.

关键词： extended homogeneous balance method, (2+1) dimensions, NNV equation, soliton solutions

Variable Separation Solutions in （1＋1）-Dimensional and （3＋1）-Dimensional Systems via Entangled Mapping Approach

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Communications in Theoretical Physics 2006年第3X期46卷 389-392页

作者： DAI Chao-Qing YAN Cai-jie zhang jie-fang Department of Information Physics School of Sciences Zhejiang Forestry Univcrsity Lin'an 311300 China Department of Physics Zhejiang Lishui University Lishui 323000 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

In this paper, the entangled mapping approach （EMA） is applied to obtain variable separation solutions of （1＋1）-dimensional and （3＋1）-dimensional systems. By analysis, we firstly find that there also exists a common formula to describe suitable physical fields or potentials for these （1＋1）-dimensional models such as coupled integrable dispersionless （CID） and shallow water wave equations. Moreover, we find that the variable separation solution of the （3＋1）-dimensional Burgers system satisfies the completely same form as the universal quantity U1 in （2＋1）-dimensional systems. The only difference is that the function q is a solution of a constraint equation and p is an arbitrary function of three independent variables.

关键词： entangled mapping approach (1+1)-dimensional systems (3+1)-dimensional Burgers system

Solitary Wave Solutions of Discrete Complex Ginzburg-Landau Equation by Modified Adomian Decomposition Method

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Communications in Theoretical Physics 2009年第1期51卷 81-89页

作者： WANG Yue-Yue DAI Chao-Qing zhang jie-fang Department of Sciences Zhejiang Forestry University Zhejiang Lin＇an 311300 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

In this paper, exact and numerical solutions are calculated for discrete complex Ginzburg-Landau equation with initial condition by considering the modified Adomian decomposition method （mADM）, which is an efficient method and does not need linearization, weak nonlinearity assumptions or perturbation theory. The numerical solutions are also compared with their corresponding analytical solutions. It is shown that a very good approximation is achieved with the analytical solutions. Finally, the modulational instability is investigated and the corresponding condition is given.

关键词： discrete complex Ginzburg-Landau equation modified Adomian decomposition method solitary wave solutions modulational instability

Jacobian Elliptic Function Method and Solitary Wave Solutions for Hybrid Lattice Equation

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Communications in Theoretical Physics 2006年第6期45卷 1057-1062页

作者： WANG Rui-Min DAI Chao-Qing zhang jie-fang College of Jinhua Professional Technology Jinhua 321000 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China

In this paper, we have successfully extended the Jacobian elliptic function expansion approach to nonlinear differential-difference equations. The Hybrid lattice equation is chosen to illustrate this approach. As a consequence, twelve families of Jacobian elliptic function solutions with different parameters of the Hybrid lattice equation are obtained. When the modulus m → 1 or O, doubly-periodic solutions degenerate to solitonic solutions and trigonometric function solutions, respectively.

关键词： extended Jacobian elliptic function expansion approach hybrid lattice equation Jacobian elliptic function solutions solitonic solutions trigonometric function solutions

Exotic Localized Coherent Structures of New (2+1)-Dimensional Soliton Equation

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Communications in Theoretical Physics 2002年第5期38卷 517-522页

作者： zhang jie-fang HUANG Wen-Hua ZHENG Chun-Long Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China Department of Physics Jiangxi Yichun University Yichun 336000 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 China Department of Physics Zhejiang Lishui Normal College Lishui 323000 China

The variable separation approach is used to obtain localized coherent structures of the new (2+1)-dimensional nonlinear partialdifferential equation. Applying the Backlund transformation and introducing the arbitraryfunctions of the seed solutions, the abundance of the localized structures of this model are derived. Some special types ofsolutions solitoff, dromions, dromion lattice, breathers and instantons are discussed by selecting the arbitrary functionsappropriately. The breathers may breath in their amplititudes, shapes, distances among the peaks and even the numberof the peaks.

关键词： variable separation approach, coherent structures, new (2+1)-dimensional soliton equation

Doubly Periodic Propagating Wave for (2+1)-Dimensional Breaking Soliton Equation

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Communications in Theoretical Physics 2008年第2期49卷 268-274页

作者： HUANG Wen-Hua LIU Yu-Lu zhang jie-fang College of Science Huzhou University Huzhou 313000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321000 China

Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the （2＋1）-dimensional breaking soliton system. By introducing Jacobi elliptic functions in the seed solution, two families of doubly periodic propagating wave patterns are derived. We investigate these periodic wave solutions with different modulus m selections, many important and interesting properties are revealed. The interaction of Jabcobi elliptic function waves are graphically considered and found to be nonelastic.

关键词： breaking soliton equation variable separation method Jabobi elliptic function periodic wave