Self-adjointness and conservation laws of Burgers-type equations

被引：5

作者：

Wang, Haifeng ^{[1
]}

Zhang, Yufeng ^{[1
]}

机构：

[1] China Univ Min & Technol, Sch Math, Xuzhou 221116, Jiangsu, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2021年 / 35卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Quasi-self-adjointness; nonlinear self-adjointness; Burgers-type equations; Frobenius equations; conservation laws; FROBENIUS-VIRASORO ALGEBRA; MODEL;

D O I：

10.1142/S021798492150161X

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

This paper focuses on the self-adjointness of some Burgers-type equations based on the existing definitions. It follows that the corresponding Frobenius Burgers-type equations are constructed by taking values in a commutative subalgebra Z" 2. In order to investigate the self-adjointness of these Frobenius-type equations, we introduce a few additional notations and definitions. Additionally, the conservation laws are obtained of several equations studied by using symmetries.

引用

页数：21

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