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EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN.
- Source :
-
Fractals . Aug2017, Vol. 25 Issue 4, p1-7. 7p. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0218348X
- Volume :
- 25
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 124565679
- Full Text :
- https://doi.org/10.1142/S0218348X17400060