CONSERVATION LAWS OF THE TIME-FRACTIONAL ZAKHAROV-KUZNETSOV-BURGERS EQUATION

被引：0
作者：
Naderifard, Azadeh [1 ]
Hejazi, S. Reza [1 ]
Dastranj, Elham [1 ]
机构：
[1] Shahrood Univ Technol, Fac Math Sci, Shahrood, Semnan, Iran
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 01期
关键词：
Generalized Zakharov-Kuznetsov-Burgers equation; Riemann Liouviile derivative; Caputo fractional derivative; Lie point symmetry; fractional conservation laws; NONLINEAR SCHRODINGER-EQUATION; LIE SYMMETRY ANALYSIS; SELF-ADJOINTNESS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An important application of Lie group theory of differential equations is applied to study conservation laws of time-fractional Zakharov-Kuznetsov-Burgers (ZKB) equation with Riemann-Liouville and Caputo derivatives. This analysis is based on a modified version of Noether's theorem provided by Ibragimov to construct the conserved vectors of the equation. This is done by non-linearly self-adjointness of the equation which will be stated via a formal Lagrangian in the sequel.
引用
收藏
页码：75 / 88
页数：14
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