On μ-symmetries, μ-reductions, and μ-conservation laws of Gardner equation

被引：6

作者：

Orhan, Ozlem ^{[1
]}

Ozer, Teoman ^{[2
]}

机构：

[1] Istanbul Tech Univ, Dept Math Engn, TR-34469 Maslak, Turkey

[2] Istanbul Tech Univ, Dept Civil Engn, TR-34469 Maslak, Turkey

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2019年 / 26卷 / 01期

关键词：

mu-symmetries; mu-conservation laws; mu-reductions; classification; Gardner equation; KDV EQUATION;

D O I：

10.1080/14029251.2019.1544789

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we represent an application of the geometrical characterization of mu-prolongations of vector fields to the nonlinear partial differential Gardner equation with variable coefficients. First, mu-symmetries and the corresponding mu-symmetry classification are investigated and then mu-reduction forms of the equations are obtained. Furthermore, mu-invariant solutions are determined and mu-conservation laws of Gardner equation are studied.

引用

页码：69 / 90

页数：22

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