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A Unified and Explicit Construction of N-Soliton Solutions for the Nonlinear Schrfdinger Equation
[期刊论文] 作者：FAN En-Gui, 来源：理论物理通讯：英文版 年份：2001
An explicit N-fold Darboux transformation with multiparameters for nonlinear Schrodinger equation is constructed with the help of its Lax pairs and a reduction...
Backlund Transformation and Similarity Reductions of Nonlinear Partial Differential Equations Using
[期刊论文] 作者：FAN En-gui, 来源：理论物理通讯 年份：2004
Two new applications of homogeneous balance (HB) method are presented.It is shown that HB methodcan be extended to search for the Backlund transformations and s...
A Unified and Explicit Construction of N-Soliton Solutions for the Nonlinear Schrfdinger Equation
[期刊论文] 作者：FAN En-gui, 来源：理论物理通讯 年份：2004
An explicit N-fold Darboux transformation with multiparameters for nonlinear Schrodinger equation is constructed with the help of its Lax pairs and a reduction...
Solving Kadomtsev-Petviashvili Equation via a New Decomposition and Darboux Transformation
[期刊论文] 作者：FAN En-gui, 来源：理论物理通讯 年份：2004
Recently, a new decomposition of the (2+1)-dimensional Kadomtsev Petviashvili (KP) equation to a (1+1 )-dimensional Broer-Kaup (BK) equation and a (1+1)-dimensi...
Hamiltonian System and Infinite Conservation Laws Associated with a New Discrete Spectral Problem
[期刊论文] 作者：LUO Lin,FAN En-Gui, 来源：理论物理通讯：英文版 年份：2008
开始从一新分离光谱问题，非线性的格子方程的相应层次被建议。格子 soliton 层次拥有 bi-Hamiltonian 结构，这被显示出，无穷地，许多普通变换保存功能。进一步，层次的无限的能量守......
Characteristic Numbers of Matrix Lie Algebras
[期刊论文] 作者：ZHANG Yu-Feng,FAN En-Gui, 来源：理论物理通讯：英文版 年份：2008
矩阵谎言代数学的典型数字的一个观点被定义，它被奉献给区分被用来产生 soliton 方程的 integrable 政变石楠的各种各样的谎言代数学。也就是说，由使用计算公式的矩阵谎言代数...
Hamiltonian Systems and Darboux Transformation Associated with a 3 × 3 Matrix Spectral Problem
[期刊论文] 作者：LUO Lin,FAN En-Gui, 来源：理论物理通讯：英文版 年份：2007
...
Hamiltonian Systems and Darboux Transformation Associated with a 3 × 3 Matrix Spectral Problem
[期刊论文] 作者：LUO Lin,FAN En-Gui, 来源：黑龙江科技学院学报 年份：2007
为探究吕家坨井田地质构造格局,根据钻孔勘探资料,采用分形理论和趋势面分析方法,研究了井田7...
,Complexiton solutions of the (2+1)-dimensional dispersive long wave equation
[期刊论文] 作者：Chen Yong,Fan En-Gui, 来源：中国物理（英文版） 年份：2007
In this pager a pure algebraic method implemented in a computer algebraic system, named multiple Riccati equations rational expansion method, is presented to co...
,Pfaffianization of the variable-coefficient Kadomtsev-Petviashvili equation
[期刊论文] 作者：Zhang Qing-Fan,Fan En-Gui, 来源：中国物理（英文版） 年份：2007
This paper constructs more general exact solutions than N-soliton solution and Wronskian solution for variablecoefficient Kadomtsev-Petviashvili (KP) equation....
,Quasi-Hamiltonian Structure Associated with an Integrable Coupling System
[期刊论文] 作者：LUO Lin,FAN En-Gui, 来源：中国物理快报（英文版） 年份：2009
Starting from a spectral problem, a corresponding soliton hierarchy is proposed, and we construct an integrable coupling system with five dependent variables fo...
,A Hierarchy of Differential-Difference Equations and Their Integrable Couplings
[期刊论文] 作者：LUO Lin,FAN En-Gui, 来源：中国物理快报（英文版） 年份：2007
Starting from a discrete spectral problem, the corresponding hierarchy of nonlinear differential-difference equation is proposed. It is shown that the hierarchy...
,B(A)CKLUND TRANSFORMATION, LAX PAIRS,SYMMETRIES AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT KdV EQ
[期刊论文] 作者：FAN EN-GUI,ZHANG HONG-QING,LIN GANG, 来源：物理学报（海外版）（英文版） 年份：1998
The homogeneous balance method is extended to seek for B(a)cklund transformation, Lax pairs, non-local symmetries of variable coefficient KdV equation (VCKd VE)...
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