摘要
本文首先用微分算子的自共轭理论,对非自共轭性微分方程(组)匹配其共轭方程(组),从而推出对应扩展方程组的Lagrangian函数;然后,用吴方法计算对应的(新)对称;最后,从所得的对称中筛选变分对称,再利用N¨oether定理产生(扩展)守恒律.
First,the theory of self-adjoint differential operators is used to obtain the associated equations of non-self-adjoint differential equations. And, the Lagrangian of the expanded system of equations is deduced. Then, the corresponding symmetries of the expanded system of equations are calculated by use of Wu＇s method. Finally,the variational symmetries are chosen from the symmetries and,by means of Noether theorem,the expanded conservation laws are generated.
出处
《内蒙古工业大学学报（自然科学版）》
2007年第3期161-169,共9页
Journal of Inner Mongolia University of Technology：Natural Science Edition
基金
国家自然科学基金项目(No.10461005)
内蒙古自治区高等学校科学研究项目(NJ06096)资助
