Benney′s方程组的无穷守恒律  

Infinite conservation laws of Benney′s systems

作　　者：张盈[1] 温利平[1] 李音[1] 

机构地区：[1]延安大学西安创新学院理工系,陕西西安710100

出　　处：《高师理科学刊》2015年第12期10-13,共4页Journal of Science of Teachers＇College and University

基　　金：延安大学西安创新学院科研基金重点项目(14KY13);延安大学西安创新学院教改研究项目(14JG08)

摘　　要：根据齐次微分方程的等秩性质,利用同伦算子及Euler-Lagrange方程变分原理构造非线性偏微分方程的多项式形式的守恒律.得到了Benney′s方程组的无穷多不依赖于自变量的多项式守恒律.其结果对分析其解的性质,研究方程的可积性具有重要意义.Polynomial conservation laws of nonlinear PDF was constructed using the variational principles of homotopy operators and Euler-Lagrange equation based on the rank properties of homogeneous differential equation.In the term of this methods,obtained infinitely many poylnomial conservation lwas of Benney′s systems which depend only on the dependent variables and their derivatives and not on the independent variables explieitly is.This results plays an important role in the integrability and the analysis of properties of the solutions.

关 键 词：Benney′s方程组 多项式守恒律 Euler算子 同伦算子 

分 类 号：O175.2[理学—数学]