Lie symmetry analysis, optimal system and conservation laws of a new(2+1)-dimensional KdV system

作     者：Mengmeng Wang Shoufeng Shen Lizhen Wang Mengmeng Wang;Shoufeng Shen;Lizhen Wang

作者机构：Department of Applied MathematicsZhejiang University of TechnologyHangzhou 310023China Center for Nonlinear StudiesSchool of MathematicsNorthwest UniversityXi'an 710127China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2021年第73卷第8期

页      面：41-49页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：the National Natural Science Foundation of China(Grant No.11771352,11871396) the Natural Science Foundation of Shaanxi Province(Grant No.2020JM-431)。 

主　　题：Lie point symmetry optimal system symmetry reduction exact solution conservation law 

摘      要：In this paper, Lie point symmetries of a new(2+1)-dimensional KdV system are constructed by using the symbolic computation software Maple. Then, the one-dimensional optimal system,associated with corresponding Lie algebra, is obtained. Moreover, the reduction equations and some explicit solutions based on the optimal system are presented. Finally, the nonlinear selfadjointness is provided and conservation laws of this KdV system are constructed.