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Exact Solution to （1＋1）-Dimensional Higher-Order Schrodinger Equation via an Extended Mapping Approach

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Communications in Theoretical Physics 2006年第1期45卷 127-130页

作者： ZHU Hai-ping ZHENG Chun-Long fang jian-ping Department of Physics Zhejiang Lishui University Lishui 323000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

Starting from a special variable transformation and with the help of an extended mapping approach, the high-order Schrodinger equation （n = 3, 4） is solved. A new family of variable separation solutions with arbitra... 详细信息

关键词： extended mapping approach Schrodinger equation exact solution

Explicit and Exact Solutions to N-Order Schrodinger System via an Extended Mapping Approach

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Communications in Theoretical Physics 2006年第3期45卷 483-486页

作者： ZHU Hai-ping ZHENG Chun- Long fang jian-ping Department of Physics Zhejiang Lishui University Lishui 323000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

In this paper, we extend the mapping approach to the N-order Schrodinger equation. In terms of the extended mapping approach, new families of variable separation solutions with some arbitrary functions are derived.

关键词： extended mapping approach SchrSdinger equation exact solution

Folded Solitary Wave Excitations for(2+1)-Dimensional Nizhnik-Novikov-Veselov System

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Communications in Theoretical Physics 2009年第3期51卷 479-484页

作者： MA Song-Hua fang jian-ping LU Zhi-Jie College of Mathematics and Physics Lishui University Lishui 323000 China

With the help of an improved mapping approach and a linear-variable-separation approach, a new family of exact solutions with arbitrary functions of the （2＋1）-dimensional Nizhnik-Novikov-Veselov system （NNV） is derived. Based on the derived solutions and using some multi-valued functions, we find a few new folded solitary wave excitations for the （2＋1）-dimensional NNV system.

关键词： (2+1)-dimensional NNV system improved mapping approach~ multi-valued functions folded solitary wave excitations

New Exact Solutions and Evolution of Solitons in Background Waves for(2+1)-Dimensional Modified Dispersive Water-Wave System

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Communications in Theoretical Physics 2008年第10期50卷 938-942页

作者： MA Song-Hua jianG Yong-Qing fang jian-ping College of Mathematics and Physics Lishui University Lishui 323000 China

With the help of the conditional similarity reduction method, some new exact solutions of the （2＋1）- dimensional modified dispersive water-wave system （MDWW） are obtained. Based on the derived solution, we invest... 详细信息

关键词： conditional similarity reduction method modified dispersive water-wave system exact solutions evolution background waves

New Families of Exact Excitations to （2＋1）-Dimensional Toda Lattice System via an Extended Projective Approach

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Communications in Theoretical Physics 2006年第5期45卷 864-868页

作者： fang jian-ping FEI Jin-Xi ZHENG Chun-Long College of Physics and Mathematics Lishui University Lishui 323000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072China

In this paper, the extended projective approach, which was recently presented and successfully used in some continuous nonlinear physical systems, is generalized to nonlinear partial differential-difference systems （DDEs）, As a concrete example, new families of exact solutions to the （2＋1）-dimensional Toda lattice system are obtained by the extended projective approach.

关键词： extended projective approach DDEs Toda lattice exact solution

New Family of Exact Solutions and Chaotic Soltions of Generalized Breor-Kaup System in （2＋1）-Dimensions via an Extended Mapping Approach

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Communications in Theoretical Physics 2005年第2X期44卷 203-208页

作者： fang jian-ping ZHENG Chun-Long ZHU Hai-ping REN Qing-Bao CHEN Li-Qun Department of Physics Zhejiang Lishui University Lishui 323000 China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 China

Starting from an extended mapping approach, a new type of variable separation solution with arbitrary functions of generalized (2+1)-dimensional Broer-Kaup system (GBK) system is derived. Then based on the derived sol... 详细信息

关键词： extended mapping approach GBK system exact solution chaotic soliton

New Exact Solutions and Interactions Between Two Solitary Waves for (3+1)-Dimensional Jimbo-Miwa System

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Communications in Theoretical Physics 2008年第5期49卷 1245-1248页

作者： MA Song-Hua fang jian-ping HONG Bi-Hai ZHENG Chun-Long College of Mathematics and Physics Lishui University Lishui 323000 China

By means of an extended mapping approach and a linear variable separation approach, a new family of exact solutions of the （3＋1）-dimensional Jimbo-Miwa system is derived. Based on the derived solitary wave solution... 详细信息

关键词： (3+1)-dimensional Jimbo-Miwa system exact solutions localized excitations the interactionsbetween two solitary waves

New Exact Solutions and Localized Structures for (3+1)-Dimensional Burgers System

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Communications in Theoretical Physics 2008年第4期49卷 955-959页

作者： LI jiang-Bo MA Song-Hua REN Qing-Bao fang jian-ping ZHENG Chun-Long College of Mathematics and Physics Lishui University Lishui 323000 China

With an extended mapping approach and a linear variable separation method, new families of variable separation solutions （including solitary wave solutions, periodic wave solutions, and rational function solutions） with arbitrary functions for （3＋1）-dimensionai Burgers system is derived. Based on the derived excitations, we obtain some novel localized coherent structures and study the interactions between solitons.

关键词： extended mapping approach variable separation method (3+1)-dimensional Burgers system localized coherent structures the interactions between solitons

Complex wave excitations general （2＋1）-dimensional and chaotic patterns for a Korteweg-de Vries system

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Chinese Physics B 2008年第8期17卷 2767-2773页

作者： Ma Song-Hua fang jian-ping Zheng Chun-Long Department of Physics Zhejiang Lishui University Lishui 323000 China

Starting from an improved mapping approach and a linear variable separation approach, a new family of exact solutions （including solitary wave solutions, periodic wave solutions and rational function solutions） with arbitrary functions for a general （2＋1）-dimensional Korteweg de solutions, we obtain some novel dromion-lattice solitons, system Vries system （GKdV） is derived. According to the derived complex wave excitations and chaotic patterns for the GKdV

关键词： improved mapping approach GKdv system complex wave excitations chaotic patterns