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

Figure 1

A computer simulation about two-soliton solution collision at 𝑡=0 in Family 1, with parameters 𝐹₁(𝑡)=𝑡, 𝐹₂(𝑦)=−0.5𝑦, 𝐶₁=𝐶₃=𝐶₅=1, 𝐶₂=𝐶₄=0, 𝜙=tanh, and 𝜓=tanh.

(a)

(b)