Solitary and periodic wave solutions of the space-time fractional
Extended Kawahara equation
The extended Kawahara (Gardner Kawahara) equation is the improved form
of the KdV equation which is one of the important nonlinear evolution
equations in mathematical physics. In that research, the analytical
solutions of the conformable fractional extended Kawahara equation are
obtained by utilizing the Jacobi elliptic function expansion method.
This expansion method has been applied to the different fractional forms
of the extended Kawahara equation such as the fractionality occurs in
time, space or both time and space by using the suitable change of
variables. Besides, various types of fractional problems are exhibited
to expose the realistic application of the given method and some of the
obtained solutions have been illustrated by two- or three-dimensional
graphics as the proof of the visualisation.