梅建琴

个人信息Personal Information

副教授

硕士生导师

性别:女

毕业院校:大连理工大学

学位:博士

所在单位:数学科学学院

学科:应用数学. 计算数学

电子邮箱:meijq@dlut.edu.cn

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Symmetry Reductions and Explicit Solutions of (3+1)-Dimensional Kadomtsev-Petviashvili (KP) Equation

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论文类型:会议论文

发表时间:2013-08-12

收录刊物:EI、CPCI-S、Scopus

页面范围:211-215

关键字:Symmetry reduction; Kadomtsev-Petviashvili (KP) equation; Lie group method; Explicit solution

摘要:With the aid of symbolic computation, we use the Lie group method to find the Lie point symmetries of (3+1)-dimensional Kadomtsev-Petviashvili (KP) equation, and reduce the equation with the obtained symmetries. As a result, many kinds of new symmetry reductions have been presented, including the (2+1)-dimensional KP type equation. And some explicit solutions are given due to the Riccati equation method.