Third-order nonlinear differential operators preserving invariant subspaces of maximal dimension

作     者：屈改珠 张顺利 李尧龙 

作者机构：Center for Nonlinear Studies Department of Mathematics Northwest University School of Mathematics and Information Science Weinan Normal University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2014年第23卷第11期

页      面：118-124页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.11371293) the Civil Military Integration Research Foundation of Shaanxi Province,China(Grant No.13JMR13) the Natural Science Foundation of Shaanxi Province,China(Grant No.14JK1246) the Mathematical Discipline Foundation of Shaanxi Province,China(Grant No.14SXZD015) the Basic Research Project Foundation of Weinan City,China(Grant No.2013JCYJ-4) 

主　　题：nonlinear evolution equation quadratic operator invariant subspace method blow-up solution 

摘      要：In this paper, third-order nonlinear differential operators are studied. It is shown that they are quadratic forms when they preserve invariant subspaces of maximal dimension. A complete description of third-order quadratic operators with constant coefficients is obtained. One example is given to derive special solutions for evolution equations with third-order quadratic operators.