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- Title
The variable separation solution, fractal and chaos in an extended coupled (2+1)-dimensional Burgers system.
- Authors
Zhao, Yi-Wei; Xia, Jun-Wen; Lü, Xing
- Abstract
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.
- Subjects
SEPARATION of variables; RICCATI equation; SYMBOLIC computation; HAMBURGERS; HYDRODYNAMICS; OCEANOGRAPHY
- Publication
Nonlinear Dynamics, 2022, Vol 108, Issue 4, p4195
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-021-07100-z