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.
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页码：69 / 90
页数：22
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