The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system

被引：81

作者：

Zhao, Yi-Wei ^{[1
]}

Xia, Jun-Wen ^{[1
]}

Lu, Xing ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

NONLINEAR DYNAMICS | 2022年 / 108卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Extended coupled (2+1)-dimensional Burgers system; Riccati projective equation method; Variable separation solutions; Fractal; Chaos; TRAVELING-WAVE SOLUTIONS; EQUATION;

D O I：

10.1007/s11071-021-07100-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

As one kind of Burgers-type equation, the extended coupled (2+1)-dimensional Burgers system is used to describe certain wave process in oceanography, acoustics or hydrodynamics. With the Riccati projective equation method and symbolic computation, the variable separation solution is derived. Due to the arbitrary functions in the variable separation solutions, the fractal and chaotic structures are studied based on the gradient function (say, U in the text). Some excitation properties of the solutions are analyzed and figures are plotted to show the shape and the structure.

引用

页码：4195 / 4205

页数：11

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