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

页码：75 / 88

页数：14

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