Construction of exact solutions for fractional-type difference-differential equations via symbolic computation

             

Construction of exact solutions for fractional-type difference-differential equations via symbolic computation

Abstract

This paper deals with fractional-type difference-differential equations by means of the extended simplest equation method. First, an equation related to the discrete KdV equation is considered. Second, a system related to the well-known self-dual network equations through a real discrete Miura transformation is analyzed. As a consequence, three types of exact solutions (with the aid of symbolic computation) emerged; hyperbolic, trigonometric and rational which have not been reported before. Our results could be used as a starting point for numerical procedures as well.

Keywords

  • Difference-differential equation;
  • Lattice equation;
  • Extended simplest equation method

 

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