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A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation
Journal article   Peer reviewed

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

Xiao-Jun Yang and J. A. Tenreiro Machado
Mathematical methods in the applied sciences, Vol.42(18), pp.7539-7544
01/12/2019
DOI: https://doi.org/10.1002/mma.5904

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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