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

• Xin-Yi Gao ^[1] ; Yong-Jiang Guo ^[1] ; Wen-Rui Shan ^[1]
  1. [1] Beijing University of Posts and Telecommunications

     Beijing University of Posts and Telecommunications

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 21, Nº 3, 2022
• Idioma: inglés
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• Resumen

  • 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.