Abstract
Recent activities in oceanography, acoustics and hydrodynamics are impressive. In respect to oceanography, acoustics and hydrodynamics, the Burgers-type systems/equations attract people’s attention, including an extended coupled (2+1)-dimensional Burgers system describing the wave processes in oceanography, acoustics and hydrodynamics, which we investigate hereby. We construct two families of the hetero-Bäcklund transformations, each from that system to a (2+1)-dimensional Broer-Kaup-Kupershmidt system, as well as a family of the similarity reductions, from that system to a known ordinary differential equation. We take notice of all our results dependent on the coefficients in that system.
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