Resumen de Auto-Bäcklund Transformation, Similarity Reductions and Solitons of an Extended (2 + 1)-Dimensional Coupled Burgers System in Fluid Mechanics
Xin-Yi Gao, Yong-Jiang Guo, Wen-Rui Shan
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.
