EXACT TRAVELING-WAVE SOLUTION FOR LOCAL FRACTIONAL BOUSSINESQ EQUATION IN FRACTAL DOMAIN
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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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2015 ◽
Vol 109
(13)
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pp. 12-17
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2007 ◽
Vol 368
(5)
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pp. 383-390
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2021 ◽
Vol 1745
(1)
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pp. 012113
2011 ◽
Vol 403-408
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pp. 202-206
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