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[期刊论文] 作者：CHEN Jin-Bing GENG Xian-Guo,
来源：理论物理通讯：英文版 年份：2005
This paper deals with the integrability of a finite-dimensional Hamiltonian system linked with the generalized coupled KdV hierarchy. For this purpose the assoc...
[期刊论文] 作者：ZHU Jun-Yi GENG Xian-Guo,
来源：理论物理通讯：英文版 年份：2007
由诉诸 nonlinearization 途径， Neumann 限制与联系了一分离 3 x 3 矩阵特征值问题被考虑。Neumann 类型的一张新 symplectic 地图通过分离特征值问题和它的伴随的 nonlinear...
[期刊论文] 作者：ZHU Jun-Yi GENG Xian-Guo,
来源：理论物理通讯：英文版 年份：2006
We present a Darboux transformation for Tzitzeica equation associated with 3×3 matrix spectral problem.The explicit sohltion of Tzitzeica eqnation is...
[期刊论文] 作者：GENG Xian-Guo,WANG Hui,
来源：中国物理快报（英文版） 年份：2014
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[期刊论文] 作者：Chen Jin-Bing,Geng Xian-Guo,
来源：中国物理（英文版） 年份：2006
This paper is devoted to the study of the underlying linearities of the coupled Harry-Dym (cHD) soliton hierarchy,including the well-known cHD equation. Resorti...
[期刊论文] 作者：He Guo-Liang,Geng Xian-Guo,
来源：中国物理B（英文版） 年份：2012
...
[期刊论文] 作者：LI Wen-Min,GENG Xian-Guo,
来源：中国物理快报（英文版） 年份：2006
The Darboux transformation of a differential-difference equation associated with a 3 x 3 matrix spectral problem is derived. As an application, explicit soliton...
[期刊论文] 作者：ZHU Jun-Yi,GENG Xian-Guo,
来源：中国物理快报（英文版） 年份：2013
The dressing method,based on the local 3 × 3 matrix (-e)-problem,is extended to study the Sasa-Satsuma equation with self-consistent sources.The explicit solut...
,New Wronskian Representation of Solution for a Variable-Coefficient Kadomtsev-Petviashvili Equation
[期刊论文] 作者：WU Jian-Ping,GENG Xian-Guo,
来源：中国物理快报（英文版） 年份：2013
Utilizing the Wronskian technique,a new Wronskian representation is proposed for a variable-coefficient Kadomtsev-Petviashvili (vcKP) equation.Furthermore,some...
[期刊论文] 作者：GENG Xian-Guo,LI Fang,
来源：中国物理快报（英文版） 年份：2009
A 3 × 3 matrix spectral problem with three potentials and the corresponding hierarchy of new nonlinear evolution equations are proposed. Generalized Hamiltonia...
[期刊论文] 作者：ZHU Jun-Yi,GENG Xian-Guo,
来源：中国物理快报（英文版） 年份：2006
Based on the spectral problem associated with the TD hierarchy, a recursion relation for the adjoined spectral problem is obtained, by which the TD hierarchy is...
[期刊论文] 作者：ZHU Jun-Yi,GENG Xian-Guo,
来源：中国物理快报（英文版） 年份：2006
The surface in R3 associated with the Tzitzeica equation is considered. By curvature coordinate transformation and surface imbedding, the Gauss-Codazzi equation...
[期刊论文] 作者：Chen Jin-Bing,Geng Xian-Guo,Qiao Zhi-Jun,
来源：中国物理B（英文版） 年份：2010
...
,A novel hierarchy of differential-integral equations and their generalized bi-Hamiltonian structure
[期刊论文] 作者：Zhai Yun-Yun,Geng Xian-Guo,He Guo-Liang,
来源：中国物理B（英文版） 年份：2014
...
[期刊论文] 作者：WU Jian-Ping,GENG Xian-Guo,ZHANG Xiao-Lin,
来源：中国物理快报（英文版） 年份：2009
Based on the Hirota method and the perturbation technique, the N-soliton solution of a generalized Hirota-Satsuma coupled KdV equation is obtained. Further, the...
[期刊论文] 作者：SU Wing,MA Yun-Ling,GENG Xian-Guo,
来源：中国物理快报（英文版） 年份：2008
A 2+1-dimensional discrete is presented, which is decomposed into a new integrable symplectic map and a class of finite-dimensional integrable Hamiltonian syste...
,A Variable-Coefficient Manakov Model and Its Explicit Solutions through the Generalized Dressing Me
[期刊论文] 作者：SU Ting,DAI Hui-Hui,GENG Xian-Guo,
来源：中国物理快报（英文版） 年份：2013
For waves in inhomogeneous media,variable-coeffcient evolution equations can arise.It is known that the Manakov model can derive two models for propagation in u...
[期刊论文] 作者：SU Ting,GENG Xian-Guo,MA Yun-Ling,
来源：中国物理快报（英文版） 年份：2007
The Wronskian form of N-soliton solution for the (2+1)-dimensional breaking soliton equation is obtained by resorting to the Hirota direct method....
[期刊论文] 作者：CHEN Jin-Bing,ZHU Jun-Yi,GENG Xian-Guo,
来源：中国物理快报（英文版） 年份：2005
Two (2+1)-dimensional (3D) lattice systems are proposed in view of the compatibility of 2D lattice systems in the same hierarchy. Furthermore, the Darboux trans...
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