Some new soliton solutions of time fractional resonant Davey-Stewartson
equations
Abstract
In this study, via the Bernoulli sub-equation, the analytical traveling
wave solution of the (2+1)-dimensional resonant Davey-Stewartson system
is investigated. In the beginning, Based on the Riemann-Liouville
fractional derivative, the time-fractional imaginary (2+1)-dimensional
resonant Davey-Stewatson equation by using travelling wave is changed
into a nonlinear differential system. The homogeneous balance method
between the highest power terms and the highest derivative of the
ordinary differential equation is authorized on the resultant outcome
equation, and finally, the ordinary differential equations are solved to
obtain some new exact solutions. Different cases, as well as different
values of physical constants to investigate the optical soliton
solutions of the resulting system, are used. The outcomes results of
this study are shown in 3D dimensions graphically via Wolfram
Mathematica Package.