Exact Traveling-Wave Solution For Local Fractional Boussinesq Equation In Fractal Domain
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Date
2017
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Publisher
World Scientific Publ CO PTE LTD
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Abstract
The new Boussinesq-type model in a fractal domain is derived based on the formulation of the local fractional derivative. The novel traveling wave transform of the non-differentiable type is adopted to convert the local fractional Boussinesq equation into a nonlinear local fractional ODE. The exact traveling wave solution is also obtained with aid of the non-differentiable graph. The proposed method, involving the fractal special functions, is efficient for finding the exact solutions of the nonlinear PDEs in fractal domains.
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Keywords
Exact Traveling-Wave Solution, Local Fractional Boussinesq Equation, Local Fractional Derivative, Fractals
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Citation
Exact Traveling-Wave Solution For Local Fractional Boussinesq Equation in Fractal Domain. (2017) Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru, Fractals-Complex Geometry Patterns And Scaling in Nature And Society, 25(4)
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Fractals-Complex Geometry Patterns And Scaling in Nature And Society
Volume
25
Issue
4