A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation

Abstract

In this letter, we consider the new nonlinear Burgers' equation engaging local fractional derivative for the first time. With the use of the travelling-wave transformation of non-differentiable type, some exact solutions for the new nonlinear Burgers' equation are discussed in detail. The obtained results are accurate and efficient for the descriptions of the acoustic signals propagation in the fractal stratified media.