The Improved tan(?(ξ)/2)-Expansion Method and Several Types of Nonlinear Fractional Evolution Equation
Using the improved tan(ϕ(ξ)/2)-expansion method and the first order constant coefficient differen-tial equation as an auxiliary equation,combined with the principle of homogeneous equilibrium,the nonlinear fractional order KZK equation,nonlinear fractional order foam drainage equation,and nonlinear fractional order Jimbo Miwa(JM)eqution are studied.With the aid of coincidence computing system Maple,various exact solu-tions of the equation are obtained,including periodic solutions,soliton solutions,rational function solutions,and exponential function solutions,expanding the scope of the solution.
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