Abstract:
In this paper, with the aid of the Mathematica package, several classes of exact analytical
solutions for the time-fractional (2 + 1)-dimensional Ito equation are obtained. To analytically
tackle the above equation, the Kudryashov simple equation approach and its modified
form are applied. Rational, exponential-rational, periodic, and hyperbolic functions with
a number of free parameters were represented by the obtained soliton solutions. Graphical
illustrations with special choices of free constants and different fractional orders are
included for certain acquired solutions. Both approaches include the efficiency, applicability
and easy handling of the solution mechanism for nonlinear evolution equations that
occur in the various real-life problems.