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

Invariant Functions, Symmetries and Primary Branch Solutions of First Order Autonomous Systems

楼森岳  姚若侠  
【摘要】:An invariant function(IF) is defined as a multiplier of a symmetry that means a symmetry multiplied by an IF is still a symmetry. Primary branch solutions of arbitrary first order scalar systems can be obtained by means of the IF and its related symmetry approach. Especially, one recursion operator and some sets of infinitely many high order symmetries are also explicitly given for arbitrary(1+1)-dimensional first order autonomous systems. Because of the intrusion of the arbitrary function, various implicit special exact solutions can be found by fixing the arbitrary functions and selecting different seed solutions.

【相似文献】
中国期刊全文数据库 前10条
1 ;Optimization leads to symmetry[J];Journal of Control Theory and Applications;2004年04期
2 特木尔朝鲁;白玉山;;Differential characteristic set algorithm for the complete symmetry classification of partial differential equations[J];Applied Mathematics and Mechanics(English Edition);2009年05期
3 荆建春;李彪;;Extended symmetry transformation of (3+1)-dimensional generalized nonlinear Schrdinger equation with variable coefficients[J];Chinese Physics B;2013年01期
4 田畴;LIE ALGEBRA OF THE SYMMETRIES OF BURGERS EQUATION[J];Science Bulletin;1987年22期
5 吴微;A Pitchfork/fold Mode Interaction in Nonlinear Equations with Z_2-symmetry[J];东北数学;1994年02期
6 ;Mei Symmetry and Noether Symmetry of the Relativistic Variable Mass System[J];Communications in Theoretical Physics;2004年03期
7 ;Symmetry Groups and New Exact Solutions to (2+1)-Dimensional Variable Coefficient Canonical Generalized KP Equation[J];Communications in Theoretical Physics;2007年09期
8 ;Mei Symmetry and Conserved Ouantity of Tzénoff Equations for Nonholonomic Systems of Non-Chetaev's Type[J];Communications in Theoretical Physics;2008年04期
9 ;Symmetry Analysis of Two Types of (2+1)-Dimensional Nonlinear Klein-Gorden Equation[J];Communications in Theoretical Physics;2009年12期
10 王佳;李彪;叶望川;;Extended Symmetry of Generalized Variable-Coefficient Kadomtsev-Petviashvili Equation[J];Communications in Theoretical Physics;2010年04期
中国重要会议论文全文数据库 前3条
1 ;Symmetry Reductions and Exact Solutions to the Variable-coefficients mKdV Equations[A];中国自动化学会控制理论专业委员会C卷[C];2011年
2 Decio Levi;;Lie Symmetries of Differential and Difference Equations[A];Proceedings of CCAST(World Laboratory) Workshop——VOLUME 193 Integrable Systems-Theory and Applications[C];2008年
3 ;Simplification of Complex Networks by Folding[A];第二十九届中国控制会议论文集[C];2010年
中国博士学位论文全文数据库 前1条
1 黄德斌;应用非线性动力系统中的几个问题[D];上海大学;1999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