收藏本站
《Communications in Theoretical Physics》 2017年07期
收藏 | 投稿 | 手机打开
二维码
手机客户端打开本文

Classification of Dark Modified KdV Equation

熊娜  楼森岳  李彪  陈勇  
【摘要】:The dark Korteweg-de Vries(KdV) systems are defined and classified by Kupershmidt sixteen years ago. However, there is no other classifications for other kinds of nonlinear systems. In this paper, a complete scalar classification for dark modified KdV(MKdV) systems is obtained by requiring the existence of higher order differential polynomial symmetries. Different to the nine classes of the dark KdV case, there exist twelve independent classes of the dark MKdV equations. Furthermore, for the every class of dark MKdV system, there is a free parameter. Only for a fixed parameter, the dark MKdV can be related to dark KdV via suitable Miura transformation. The recursion operators of two classes of dark MKdV systems are also given.

【相似文献】
中国期刊全文数据库 前10条
1 ;Rank theorems of operators between Banach spaces[J];Science in China,Ser.A;2000年01期
2 ;A NOTE ON MEYER-KONIG AND ZELLER OPERATORS FOR FUNCTIONS OF BOUNDED VARIATION[J];Approximation Theory and Its Applications;2002年03期
3 周泽华;Composition operators on the Lipschitz space in polydiscs[J];Science in China,Ser.A;2003年01期
4 ;WEIGHTED L~p-APPROXIMATION BY THE MODIFIED NEVAI OPERATORS[J];Analysis in Theory and Applications;2005年03期
5 Vijay GUPTA;;On Bounded Variation Functions by General MKZD Operators[J];Acta Mathematica Sinica(English Series);2007年08期
6 ;Boundedness of Calderón-Zygmund operators on the Weighted Herz-Morrey Spaces[J];巢湖学院学报;2007年03期
7 ;Commutators of pseudo-differential operators[J];Science in China(Series A:Mathematics);2008年03期
8 ;Weighted approximation of functions with singularities by Bernstein operators[J];Journal of Zhejiang University(Science A:An International Applied Physics & Engineering Journal);2008年10期
9 ;Compact composition operators on BMOA(B_n)[J];Science in China(Series A:Mathematics);2009年12期
10 ;Convergence of Hermite interpolatory operators[J];Science China(Mathematics);2010年08期
中国重要会议论文全文数据库 前10条
1 ;Modal expansion of one-way operators based on spectral differentiation matrix[A];中国科学院地质与地球物理研究所2008学术论文汇编[C];2009年
2 ;Dynamic Morphology Operators Based On the S-Rough Set Theory[A];第十届中国青年信息与管理学者大会论文集[C];2008年
3 ;Salt Cavity Gas Storage Site Selecting Based on Fuzzy Language Evaluation and GIOWA Arithmetic Operators[A];Proceedings of the Second Conference on Fuzzy Information & Engineering[C];2005年
4 ;Elementary Conceptions and Operators on Direction Fuzzy Sets[A];第二届中国智能计算大会论文集[C];2008年
5 ;Analysis on Advertising Expenditure of Operators in the 3G Market with Game Theory[A];2009中国控制与决策会议论文集(3)[C];2009年
6 R.HIPTMAIR;;CANONICAL CONSTRUCTION OF FINITE ELEMENTS[A];Structure-preserving Algorithms 2003--Proceedings of CCAST(World Laboratory) Workshop[C];2003年
7 ;Passivity Approach to Stability Analysis for Nonlinear and Timevarying Dynamic Systems[A];第二十四届中国控制会议论文集(下册)[C];2005年
8 Yang Jiashi;;Two-dimensional scalar differential equations for highfrequency modes in elastic and piezoelectric plates[A];中国力学大会——2013论文摘要集[C];2013年
9 ;General fuzzy number intuitionistic fuzzy arithmetic aggregation operators based on fuzzy structured element[A];第24届中国控制与决策会议论文集[C];2012年
10 ;Existence and Uniqueness Results for Three-point Boundary Value Problems[A];中国自动化学会控制理论专业委员会C卷[C];2011年
中国硕士学位论文全文数据库 前4条
1 徐传友;非线性偏微分方程之间的Miura变换[D];扬州大学;2005年
2 胡圆圆;二阶变系数非线性偏微分方程之间Miura变换的分类[D];扬州大学;2012年
3 陈影;二阶非线性偏微分方程之间Miura变换的分类[D];扬州大学;2010年
4 赵文亚;Modified Jaulent-Miodek方程的达布变换[D];郑州大学;2015年
 快捷付款方式  订购知网充值卡  订购热线  帮助中心
  • 400-819-9993
  • 010-62791813
  • 010-62985026