计算Kdv方程守恒密度的待定系数法  

The Outstanding Coefficients Method for Computing Conservative Densities of the KDV Equation

作　　者：韩廷武 

出　　处：《山东矿业学院学报》1996年第4期92-96,共5页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：山东省自然科学基金

摘　　要：秩为ｒ的不可约单项式的集合Ｓｒ可以直接转化为Ｓ（ｒ＋１），多项式守恒密度Ｔ（ｒ＋１）＝Ｔ＿（ｒ＋１）￣０＋Ｕ＿（ｒ＋１），Ｔ＿（ｒ＋１）￣０的每一项都含因子ｕ＿０，可从Ｔ＿ｒ得到Ｕ＿（ｒ＋１）（ＣＳ＿（ｒ＋１））的每一项不含因子ｕ＿０，Ｕ＿（ｒ＋１）与Ｔ＿（ｒ＋１）￣０的项之间存在着特殊的相关性，由此可分批求出Ｕ＿（ｒ＋１）中的特定系数且不涉及Ｘ＿（ｒ＋１）。The Set S_r consisting of all irreducible monomials with rank r can be directly transformed into S_(r+1). All items of the polynomial conservative densities T_(r+1)=T_(r+1)￣0+U_(r+1),T_(r+1)￣0, contain the factor u_0 which can be obtained from T_r, and each item in U_(r+1) does not Contain the factor u_0. There exists the special correlations between T_(r+1)￣0 cmd U_(r+1)·From this we can obtain the outstanding coefficients of U_(r+1) without dealing with X_(r+1).

关 键 词：KDV方程 守恒密度 待定系数 

分 类 号：O177.6[理学—数学]