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Perturbative Painleve Analysis of General KdV System and Its Exact Soliton Solutions

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Communications in Theoretical physics 2005年第8期44卷 197-202页

作者： LIN Ji YE Li-Jun LI Hua-Mei institute of nonlinear physics, zhejiang normal university, jinhua 321004, china institute of nonlinear physics Zhejiang Normal University Jinhua 321004 China

Using the standard Painlevé analysis ad the perturbative method,the Painlevé test for the logarithmicbranch is investigated. Nine arbitrary functions are obtained and the B cklund transformation of the logarithmic b... 详细信息

关键词： Painlevé analysis perturbative method Jacobi elliptic solution

New multisoliton solutions of the(2+1)-dimensional dispersive long wave equations

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Communications in nonlinear Science and Numerical Simulation 2001年第3期6卷 178-182页

作者： Jiefang ZHANG and Ping HAN institute of nonlinear physics, zhejiang normal university, jinhua 321004, china College of Engineering, zhejiang Ocean university, Zhoushan 316004, china institute of nonlinear physics Zhejiang Normal University Jinhua 321004 China College of Engineering Zhejiang Ocean University Zhoushan 316004 China

Using the extension homogeneous balance method, we have obtained a nonlinear transformation to simplify the (2+1)-dimensional dispersive long wave equations into a linear partial differential equation, and found some ... 详细信息

关键词： multisoliton (2+1)-dimensions dispersive long wave equations

Adomian Decomposition Method for nonlinear Differential-Difference Equation

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Communications in Theoretical physics 2007年第12期48卷 983-986页

作者： WU Lei ZONG Feng-De ZHANG Jie-Fang institute of nonlinear physics,zhejiang normal university,jinhua 321004,china institute of nonlinear physics Zhejiang Normal University Jinhua 321004 China

Adomian decomposition method is applied to find the analytical and numerical solutions for the discretizedmKdV equation.A numerical scheme is proposed to solve the long-time behavior of the discretized mKdV *** proced... 详细信息

关键词： Adomian decomposition method discretized nonlinear equation

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Variable Separation Solution for(1+1)-Dimensional nonlinear Models Related to Schrdinger Equation

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Communications in Theoretical physics 2004年第10期42卷 568-572页

作者： XU Chang-Zhi~(1,2) ZHANG Jie-Fang~11 institute of nonlinear physics,zhejiang normal university,jinhua 321004,china2 Department of physics and Mathematics,jinhua Educational College,jinhua 321000,china institute of nonlinear physics Zhejiang Normal University Jinhua 321004 China Department of physics and Mathematics Jinhua Educational College Jinhua 321000 China

A variable separation approach is proposed and successfully extended to the(1+1)-dimensional *** new exact solution of(1+1)-dimensional nonlinear models related to Schr(?)dinger equation by the entranceof three arbitrary functions is *** special types of soliton wave solutions such as multi-soliton wave solution,non-stable soliton solution,oscillating soliton solution,and periodic soliton solutions are discussed by selecting thearbitrary functions appropriately.

关键词： variable separation approach (1+1)-dimensional nonlinear models solution of soliton

nonlinear properties of fractal growth of thin films at low temperature

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Communications in nonlinear Science and Numerical Simulation 2001年第2期6卷 61-67页

作者： Fengmin WU, Jiefang ZHANG, Gen BIAN and Ziqin WU Research Center of Science, zhejiang university of Technology, Hangzhou 310014, china institute of nonlinear physics, zhejiang normal university, jinhua 321004, china Shao Yifu Hospital of zhejiang Provin Research Center of Science Zhejiang University of Technology Hangzhou 310014 China institute of nonlinear physics Zhejiang Normal University Jinhua 321004 China Shao Yifu Hospital of zhejiang Province Hangzhou 310005 China Department of Astronomy and Applied physics University of Science and Technology of China Hefei 230026 China

Fractal growth of thin films at low temperature (75-200 K) is simulated by kinetic Monte Carlo method, using realistic growth model-Ag on Pt(111) surface and physical parameters. It is shown that the fractal growth of thin films is nonlinear, i. e., the island size S(t) grows with time t as tk ) where the growth exponent k is slightly less than 1 because of the growth competition of islands and the competition between nucleation and growth of islands. The further results indicate that the branch width of islands b increases with increasing island size S as b -Sa, where a is approximately equal to 1/3 because of the geometrical structure of the triangular substrate.

关键词： fractal growth thin film Monte Carlo method

Generalized dromion solutions of a new higher dimensional soliton equation

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Communications in nonlinear Science and Numerical Simulation 2001年第2期6卷 97-101页

作者： Jiefang ZHANG and Gongdi XU Shanghai institute of Applied Mathematics and Mechanics, Shanghai 200072, china institute of nonlinear physics, zhejiang normal university, jinhua 321004, china College of Chemical Engineering, Qiqihar university, Qiqihar 161 Shanghai institute of Applied Mathematics and Mechanics Shanghai 200072 China institute of nonlinear physics Zhejiang Normal University Jinhua 321004 China College of Chemical Engineering Qiqihar University Qiqihar161000 China

We derive the generalized dromions of the new higher dimensional soliton equation by suitably utilizing the arbitrary function present in the bilinearized linear equations. The rich dromion structures for this system ... 详细信息

关键词： dromion soliton equation

Three-dimensional Bose Einstein condensate vortex solitons under optical lattice and harmonic confinements

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Chinese physics B 2013年第3期22卷 184-191页

作者：王莹宗丰德李峰波 institute of nonlinear physics Zhejiang Normal University

We predict three-dimensional vortex solitons in a Bose-Einstein condensate under a complex potential,which is the combination of a two-dimensional parabolic trap along the transverse radial direction and a one-dimensional optical-lattice potential along the z axis *** vortex solitons are built in the form of a layer-chain structure made of several fundamental vortices along the optical-lattice *** has not been reported before in the three-dimensional Bose-Einstein *** using a combination of the energy density functional method with direct numerical simulation,we find three-dimensional vortex solitons with topological charges χ=1,χ=2,and χ=***,the macroscopic quantum tunneling and chirp phenomena of the vortex solitons are shown in the ***,the occurrence of macroscopic quantum tunneling provides the possibility for the experimental realization of quantum ***,we successfully manipulate the vortex solitons along the optical lattice *** stability limits for dragging the vortex solitons from an initial fixed position to a prescribed location are further pursued.

关键词： Bose-Einstein condensates Gross-Pitaevskii equation vortex soliton manipulation

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Optical Solitary Waves in Fourth-Order Dispersive nonlinear Schrdinger Equation with Self-steepening and Self-frequency Shift

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Communications in Theoretical physics 2006年第4期 721-726页

作者： ZONG Feng-De DAI Chao-Qing ZHANG Jie-Fang institute of nonlinear physics,zhejiang normal university,jinhua 321004,china institute of nonlinear physics zhejiang normal university jinhua 321004 china

By making use of the generalized sine-Gordon equation expansion method,we find cnoidal periodic wavesolutions and fundamental bright and dark optical solitary wave solutions for the fourth-order dispersive and the quin-tic nonlinear Schr(o|¨)dinger equation with self-steepening,and self-frequency ***,we discuss the formationconditions of the bright and dark solitary waves.

关键词： fourth-order dispersive nonlinear Schr(o|¨)dinger equation,bright optical solitary wave dark optical solitary wave

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

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