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Abundant Similarity Reductions and Dromion-Like Solutions to the Generalized Kroteweg-de Vries Equat
[期刊论文] 作者：YAN Zhen-Ya,
来源：理论物理通讯：英文版 年份：2001
In this paper,eight types of (1-+1)-dimensional similarity reductions which contain variable coefficient equation,are obtained for the generalized KdV equation...
[期刊论文] 作者：YAN Zhen-Ya,
来源：理论物理通讯：英文版 年份：2002
Recently, we obtained thirteen families of Jacobian elliptic function solutions of mKdV equation by usingour extended Jacobian elliptic function expansion metho...
[期刊论文] 作者：YAN Zhen-Ya,
来源：理论物理通讯：英文版 年份：2002
An extended Jacobian elliptic function expansion method presented recently by us is applied to the mKdVequation such that thirteen families of Jacobian elliptic...
New Similarity Reductions and Compacton Solutions for Boussinesq-Like Equations with Fully Nonlinear
[期刊论文] 作者：YAN Zhen-Ya,
来源：理论物理通讯：英文版 年份：2001
In this paper, similarity rcductions of Boussinesq-like equations with nonlinear dispersion (simply called B(m, n) equations) utt = (un)xx + (um) which is a gen...
Abundant New Explicit Exact Soliton-Like Solutions and Painlevé Test for theGeneralized Burgers Equa
[期刊论文] 作者：YAN Zhen-Ya,
来源：黑龙江科技学院学报 年份：2001
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...
[期刊论文] 作者：YAN Zhen-Ya,
来源：理论物理通讯 年份：2004
We obtain B Backlund transformation and some new kink-like solitary wave solutions for the generalized Burgers equation in (2+1)-dimensional space, ut + (u -1u...
New Similarity Reductions and Compacton Solutions for Boussinesq-Like Equations with Fully Nonlinear
[期刊论文] 作者：YAN Zhen-Ya,
来源：理论物理通讯 年份：2004
In this paper, similarity rcductions of Boussinesq-like equations with nonlinear dispersion (simply called B(m, n) equations) utt = (un)xx + (um) which is a gen...
Abundant Symmetries and Exact Compacton-Like Structures in the Two-Parameter Family of the Estevez-M
[期刊论文] 作者：YAN Zhen-Ya,
来源：理论物理通讯 年份：2004
The two-parameter family of Estevez-Mansfield-Clarkson equations with fully nonlinear dispersion (called E(m, n) equations), (uzm)zzr + γ(unzur)z + urr = 0 whi...
Abundant Similarity Reductions and Dromion-Like Solutions to the Generalized Kroteweg-de Vries Equat
[期刊论文] 作者：YAN Zhen-Ya,
来源：理论物理通讯 年份：2004
In this paper,eight types of (1-+1)-dimensional similarity reductions which contain variable coefficient equation,are obtained for the generalized KdV equation...
New Doubly Periodic Solutions of Nonlinear Evolution Equations via Weierstrass Elliptic Function Exp
[期刊论文] 作者：YAN Zhen-Ya,
来源：理论物理通讯（英文版） 年份：2004
A Weierstrass elliptic function expansion method and its algorithm are developed in this paper. The method changes the problem solving nonlinear evolution equat...
[期刊论文] 作者：CHEN Yong,YAN Zhen-Ya,
来源：理论物理通讯：英文版 年份：2008
在这篇论文，我们学习新 3D 的混乱控制混乱系统。我们使用三个反馈方法(线性，速度，二倍地周期的功能控制器) 压制混乱到不稳定的平衡。作为结果，一些控制器被获得。而且，数字模拟......
New Compacton-Like and Solitary Pattern-Like Solutions of （2＋1）-Dimensional Generalization of Modifi
[期刊论文] 作者：CHEN Yong,YAN Zhen-Ya,
来源：理论物理通讯：英文版 年份：2005
Recently some (1+1)-dimensional nonlinear wave equations with linearly dispersive terms were shown to possess compacton-like and solitary pattern-like solutions...
[期刊论文] 作者：YANG Zheng-Zheng,YAN Zhen-Ya,
来源：理论物理通讯：英文版 年份：2009
在这篇论文，我们调查对称新(4+1 ) 维的 Fokas 方程，包括点对称和潜在的对称。我们第一采用计算点对称的算法的过程。然后我们把 Fokas 方程转变成一个潜在的系统并且获得 Foka...
New Explicit Solitary Wave Solutions and Periodic Wave Solutions for the Generalized Coupled Hirota-
[期刊论文] 作者：CHEN Yong YAN Zhen-Ya LI Biao,
来源：理论物理通讯：英文版 年份：2002
In this paper, we study the generalized coupled Hirota Satsuma KdV system by using the new generalizedtransformation in homogeneous balance method. As a result,...
New Explicit Solitary Wave Solutions and Periodic Wave Solutions for the Generalized Coupled Hirota-
[期刊论文] 作者：CHEN Yong,YAN Zhen-Ya,LI Biao,,
来源：黑龙江科技学院学报 年份：2002
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...
New Explicit Solitary Wave Solutions and Periodic Wave Solutions for the Generalized Coupled Hirota-
[期刊论文] 作者：CHEN Yong,YAN Zhen-Ya,LI Biao,,
来源：理论物理通讯 年份：2004
In this paper, we study the generalized coupled Hirota Satsuma KdV system by using the new generalizedtransformation in homogeneous balance method. As a result,...
[期刊论文] 作者：XIA TIE-CHENG,ZHANG HONG-QING,YAN ZHEN-YA,
来源：中国物理(英文版) 年份：2001
In this paper, new explicit and exact travelling wave solutions for a compound KdV-Burgers equation are obtained by using the hyperbola function method and the...
[期刊论文] 作者：YAN,Zhen-ya(闫振亚),ZHANG,Hong-qi,
来源：应用数学和力学：英文版 年份：2001
By using two different transformations, several types of exact analytic solutions for a class of nonlinear coupled scalar field equation are obtained, which con...
[期刊论文] 作者：YAN,Zhen-ya(闫振亚),ZHANG,Hong-qi,
来源：应用数学和力学：英文版 年份：2001
The homogeneous balance method was improved and applied to two systems of nonlinear evolution equations. As a result, several families of exact analytic solutio...
,New explicit exact solutions for a generalized Hirota-Satsuma coupled KdV system and a coupled MKdV
[期刊论文] 作者：Chen Yong(陈勇),Yan Zhen-Ya(闫振亚),Li Biao(李彪),Zhang Hong-Qing(张鸿庆),
来源：中国物理（英文版） 年份：2003
In this paper, we make use of a new generalized ansatz in the homogeneous balance method, the well-known Riccati equation and the symbolic computation to study...
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