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Exact solutions of Boussinesq and KdV-mKdV equations by fractional sub-equation method

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2013

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Open Access Color

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Abstract

A fractional sub-equation method is introduced to solve fractional differential equations. By the aid of the solutions of the fractional Riccati equation, we construct solutions of the Boussinesq and KdV-mKdV equations of fractional order. The obtained results show that this method is very efficient and easy to apply for solving fractional partial differential equations.

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Boussinesq Equation, Fractional Differential Equation, KdV-mKdV Equation, Modified Riemann-Liouville Derivative, Sub-Equation Method

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Citation

Jafari, H...et al. (2013). "Exact solutions of Boussinesq and KdV-mKdV equations by fractional sub-equation method", Romanian Reports in Physics, Vol.65, No. 4, pp. 1119-1124.

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Romanian Reports in Physics

Volume

65

Issue

4

Start Page

1119

End Page

1124