Abstract: By using the Fibonacci Riccati method, new explicit
exact soliton-like solutions and multi-soliton solutions are derived for the -dimensional Burgers equation. The main idea of this
method is to express the solutions of this system as polynomials in the solution
of the Riccati equation that the symmetrical Fibonacci functions satisfy. Based
on the derived exact solutions which contain arbitrary functions, some special
soliton-like structures are investigated.
