韶关学院学报
韶關學院學報
소관학원학보
Journal of Shaoguan University(Social Science Edition)
2010年
6期
~
,共null页
李群理论 单参数变换群 偏微分方程 Painleve
李群理論 單參數變換群 偏微分方程 Painleve
리군이론 단삼수변환군 편미분방정 Painleve
Lie group theory; one-parameter transformation group; partial differential equations; Painleve;
基于WTC方法对一类偏微分方程iut+uxx-2|u|2u=au-b的Painleve性质进行了检验,使之能有效地用于非线性系统的可积性及不可积系统特殊类型解的研究,并给出该方程的潘勒维检验.
基于WTC方法對一類偏微分方程iut+uxx-2|u|2u=au-b的Painleve性質進行瞭檢驗,使之能有效地用于非線性繫統的可積性及不可積繫統特殊類型解的研究,併給齣該方程的潘勒維檢驗.
기우WTC방법대일류편미분방정iut+uxx-2|u|2u=au-b적Painleve성질진행료검험,사지능유효지용우비선성계통적가적성급불가적계통특수류형해적연구,병급출해방정적반륵유검험.
Based on WTC method of the basic theory, we test a class of partial differential equations(iut+uxx-2 |u |2u =au -b) of Painleve properties, and the method can effectively be used for integrability of nonlinear systems and non-integrable system of special type of solution and give Panlewei checkouts of partial differential equations.
