A Family of Novel Exact Solutions to (2+1)-Dimensional KdV Equation

Figure 3

The plots of 𝑢₁,𝑣₁ in Family 1 with parameters 𝐹₁(𝑡)=𝑡, 𝐹₂(𝑦)=4sech(0.1𝑦²), 𝐶₁=0.5, 𝐶₃=1, 𝐶₅=−1, 𝐶₂=𝐶₄=𝐶₆=0, 𝜙=tanh, and 𝜓=tanh at ((a) and (b)) 𝑡=−9, ((c) and (d)) 𝑡=−2, and ((e) and (f)) 𝑡=5.

(a)

(b)

(c)

(d)

(e)

(f)