Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 42, Issue 18, Pages 7539-7544Publisher
WILEY
DOI: 10.1002/mma.5904
Keywords
acoustic signals propagation; fractals; local fractional derivative; nonlinear Burgers' equation
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Funding
- 333 Project of Jiangsu Province [BRA2018320]
- State Key Research Development Program of the Peoples Republic of Chin [2016YFC0600]
- China University of Mining and Technolo [102504180]
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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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