一类(1+1)维色散方程组的多项式W_3~1×W_2~2不变子空间  

Polynomial W_3~1× W_2~2 invariant subspace to systems of (1 + 1)-dimensional dispersive equations

作　　者：张亚敏[1] ZHANG Ya-min(Institute of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China)

机构地区：[1]宝鸡文理学院数学与信息科学学院,陕西宝鸡721013

出　　处：《陕西理工大学学报（自然科学版）》2017年第4期81-88,共8页Journal of Shaanxi University of Technology:Natural Science Edition

基　　金：陕西省自然科学基础研究计划项目(2014JM1027);陕西省教育厅科研计划项目(2016JK1047);宝鸡文理学院科研项目(YK1619)

摘　　要：运用不变子空间方法研究一类(1+1)维色散方程组,借助Maple数学软件得出该方程组所允许的多项式不变子空间W_3~1×W_2~2中的分类,所得的不变子空间可以构造出方程组更多的精确解,从而丰富这类方程组精确解的研究,为这类方程组所描述的系统分析奠定理论基础。The invariant subspace method is one of the effective methods to solve the generalized varia- ble separation solution of nonlinear equations. A family of （ 1 ＋ 1 ） -dimensional dispersive equations are considered by this method. Based on computation system Maple, a classification of the polynomial Invariant sub- spaceW3 1× W 2 2 allowed by the equation is derived. More abundant exact solution of the equations are con- strutted by the gaining invariant subspace. Thus study has enriched the study of exact solutions of these equa- tions, which lays the theoretical foundation for the systematic analysis of the equations described by this kind of system.

关 键 词：不变子空间 条件Lie-Bcklund对称 精确解 

分 类 号：O175.2[理学—数学]