Multiple complex soliton solutions for the integrable KdV, fifth-order Lax, modified KdV, Burgers, and Sharma-Tasso-Olver equations

We show that completely integrable equations give multiple complex soliton solutions in addition to multiple real real soliton solutions. We exhibit complex categories of the simplified Hirota's method to confirm these new findings. To demonstrate the power of the new complex forms, we test it on integrable KdV, fifth-order Lax, modified KdV, fifth-order modified KdV, Burgers, and Sharma-Tasso-Olver equations.