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

Figure 2

The plots of 𝑢₁ and 𝑣₁ in Family 1, with parameters 𝐹₁(𝑡)=𝑡, 𝐹₂(𝑦)=ln(𝑦²+10), 𝐶₁=𝐶₃=1, 𝐶₅=−2, 𝐶₂=𝐶₄=𝐶₆=0, 𝜙=tanh, and 𝜓=tanh at ((a) and (b)) 𝑡=−5 and ((c) and (d)) 𝑡=1.

(a)

(b)

(c)

(d)