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Soliton Solutions of Fractional Order KdV-Burger's Equation

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In this article, the new exact travelling wave solutions of the time- and space-fractional KdV-Burgers equation has been found. For this the fractional complex transformation have been implemented to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations, in the sense of the Jumarie's modified Riemann-Liouville derivative. Afterwards, the improved (G′/G)-expansion method can be implemented to celebrate the soliton solutions of KdV-Burger's equation of fractional order.
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Keywords: (G′/G)-EXPANSION SCHEME; FRACTIONAL CALCULUS; KDV-BURGER'S EQUATION; SOLITONS

Document Type: Research Article

Publication date: December 1, 2014

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  • Journal of Advanced Physics is an interdisciplinary peer-reviewed journal consolidating research activities in all experimental and theoretical aspects of advanced physics. The journal aims in publishing articles of novel and frontier physics that merit the attention and interest of the whole physics community. JAP publishes review articles, full research articles, short communications of important new scientific and technological findings in all latest research aspects of physics.
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