Davey-Stewartson Equation with Fractional Coordinate Derivatives

Figure 2

(a) and (b) The surface shows the solution 𝑣(𝑥,𝑦,𝑡) for (8): (a) approximate solution for 𝛼=1.98,ℏ=−1.1; (b) exact solution. (c) Four profiles of approximate solutions 𝑣(𝑥,𝑦,𝑡) for some values of 𝛼: blue line (𝛼=2), mauve line (𝛼=1.9), green line (𝛼=1.8), and red line (𝛼=1.5), when 𝑘₁=0.1,𝑘₂=0.03,𝑘₃=−0.3,𝜎=𝐼, and 𝜆=1.

(a)

(b)

(c)