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.
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页数：21
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