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A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation
Author(s) -
Yang XiaoJun,
Tenreiro Machado J. A.
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5904
Subject(s) - burgers' equation , mathematics , fractal , nonlinear system , mathematical analysis , differentiable function , transformation (genetics) , partial differential equation , physics , biochemistry , chemistry , quantum mechanics , gene
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.