一类四阶偏微分方程的对称分析及级数解The symmetry and series solutions of a class of fourth-order partial differential equation
杨春艳;李小青;
摘要(Abstract)：
研究了一类四阶偏微分方程的李对称,构造了方程所容许的李对称的优化系统,进行了对称约化,得到了精确解.进一步,基于幂级数理论,得到了这类四阶偏微分方程的幂级数解.
关键词(KeyWords)： 四阶偏微分方程;李对称;优化系统;幂级数法;精确解
基金项目(Foundation): 国家自然科学基金(11201371);; 陕西省自然科学基金(2012JQ1013);; 陕西省教育厅专项科研基金(11JK0482)
作者(Authors): 杨春艳;李小青;
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