Taking into consideration an extended coupled (2+1)-dimensional Burgers system in oceanography, acoustics and hydrodynamics

被引：37
|
作者：
Gao, Xin-Yi [1 ,2 ]
Guo, Yong -Jiang [1 ,2 ]
Shan, Wen-Rui [1 ,2 ]
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2022年 / 161卷
基金：
中国国家自然科学基金;
关键词：
Available online xxxx; Extended coupled (2+1) -dimensional Burgers; system; Painlev? analysis; Similarity reductions; Symbolic computation; Oceanography; Acoustics; Hydrodynamics; KADOMTSEV-PETVIASHVILI EQUATION; SIMILARITY REDUCTIONS; LUMP;
D O I：
10.1016/j.chaos.2022.112293
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
As for certain wave processes in oceanography, acoustics or hydrodynamics, we investigate an extended coupled (2+1)-dimensional Burgers system by way of finding out that the system passes the Painleve test and working out two sets of the similarity reductions through symbolic computation. Each set relies on the coefficients in the system, and can develop into a known ordinary differential equation.
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