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Hyperbolic Tangent Ansatz Method to Partial Differential Equations by Using Symbolic Computation
  • Ozlem Ersoy Hepson
Ozlem Ersoy Hepson
Eskisehir Osmangazi Universitesi Fen Edebiyat Fakultesi
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Abstract

Space--time fractional forms of the modified Korteweg-de Vries equation, the modified Equal Width equation and Benney-Luke equations are solved by using simple hyperbolic tangent ansatz approach. A simple compatible wave transformation in one dimension is employed to reduce the governing equations to integer--ordered ODEs. Then, the hyperbolic tangent ansatz is used to derive exact solutions. Some illustrative examples are presented for some particular choices of parameters and derivative orders.