Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended (2+1)-Dimensional Coupled Burgers System in Fluid Mechanics

Burgers-type equations are seen in cosmology, hydrodynamics, plasma physics, hurricane dynamics, statistical dynamics, traffic modelling, etc. For an extended ( 2 + 1 )-dimensional coupled Burgers system in fluid mechanics, concerning the velocity components in the fluid-related problems, our symbol...

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Bibliographic Details
Published inQualitative theory of dynamical systems Vol. 21; no. 3
Main Authors Gao, Xin-Yi, Guo, Yong-Jiang, Shan, Wen-Rui
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.09.2022
Springer Nature B.V
Subjects
Astronomical models
Cosmology
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Fluid mechanics
Mathematics
Mathematics and Statistics
Plasma physics
Similarity
Solitary waves
Traffic models
Fluid mechanics
37K35
37N10
Auto-Bäcklund transformation
Similarity reductions
35Q35
Solitons
76B15
Extended
Symbolic computation
35C08
Online AccessGet full text
ISSN1575-5460
1662-3592
DOI10.1007/s12346-022-00574-1

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Summary:Burgers-type equations are seen in cosmology, hydrodynamics, plasma physics, hurricane dynamics, statistical dynamics, traffic modelling, etc. For an extended ( 2 + 1 )-dimensional coupled Burgers system in fluid mechanics, concerning the velocity components in the fluid-related problems, our symbolic computation brings forth an auto-Bäcklund transformation with some solitons, and two sets of the similarity reductions. Our results rely on the coefficients in the system.
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ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-022-00574-1