五阶非线性发展方程的对称约化、精确解和守恒律  

Symmetry Reduction,Exact Solutions and Conservation Laws of a Fifth-order Nonlinear Equation

作　　者：张和伟[1] 刘庆松[2] ZHANG Hewei LIU Qingsong(Computer Department,Zaozhuang Vocational University,Shandong Zaozhuang 277500,China Editoral Department of JournaI,Liaocheng University,Shandong Liaocheng 252059,China)

机构地区：[1]枣庄科技职业学院计算机部,山东枣庄277500 [2]聊城大学学报编辑部,山东聊城252059

出　　处：《河北师范大学学报（自然科学版）》2017年第4期277-283,共7页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11076015)

摘　　要：利用李群方法,得到了五阶非线性发展方程的经典李对称、李代数和相似约化.利用幂级数方法得到了该方程的一系列精确幂级数解.最后由相应的李对称得到了该方程的守恒律.By applying the Lie group method,we realize the classical Lie symmetry,Lie algebra and similarity reductions of a fifth-order nonlinear integrable equation.Employing power series method,we obtain the exact power series solutions.We also obtain conservation laws of the equation with the corresponding Lie symmetry.

关 键 词：五阶非线性发展方程 李群方法 对称约化 精确解 幂级数方法 守恒律 

分 类 号：O175.2[理学—数学]