Abstract
In this work, the (3 + 1)-dimensional integrable Burgers equation is studied. Multiple kink solutions and multiple singular kink solutions are established for this completely integrable equation. The Bäcklund transformation method combined with the Hirota’s bilinear sense are used to determine two distinct structures of regular soliton solutions and singular soliton solutions. The tanh–coth method will also be implemented to obtain new single soliton solutions.
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