Discussion

Possible future research directions
Extend the analysis for interaction patterns formed by multi-directional soliton trains (cnoidal waves)
e.g. to provide more practical applications.

Apply similar analysis for other classes of equations
e.g. to model freak waves.

Other applications
Generalized inverse problem: from a two (or more) snapshots on wave patterns ...
... test the validity of the mathematical model;
... find a suitable mathematical model (e.g. by matching dispersive properties of waves).

Etc.