Higher-dimensional integrable deformations of the classical Boussinesq-Burgers system  

作　　者：Xiaoyu Cheng Qing Huang 

机构地区：[1]School of Mathematics,Northwest University,Xi'an 710127,China

出　　处：《Communications in Theoretical Physics》2024年第6期1-12,共12页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11871396,12271433).

摘　　要：In this paper,the(1+1)-dimensional classical Boussinesq-Burgers(CBB)system is extended to a(4+1)-dimensional CBB system by using its conservation laws and the deformation algorithm.The Lax integrability,symmetry integrability and a large number of reduced systems of the new higher-dimensional system are given.Meanwhile,for illustration,an exact solution of a(1+1)-dimensional reduced system is constructed from the viewpoint of Lie symmetry analysis and the power series method.

关 键 词：classical Boussinesq-Burgers system higher-dimensional system deformation algorithm Lax pair conservation law 

分 类 号：O175.2[理学—数学]