HIGHLIGHTS
SUMMARY
As per the KdV-equation, the KPE also allows periodic wave solutions in the form of cnoidal waves (but these exist for the KPE in two horizontal dimensions), leading to high-amplitude short-crested wave solutions where these "individual" cnoidal waves interact with or cross one another. In the latter case on an infinite plane, three-line solitons will be interacting, with the two interactions of two-times-two-line solitons colliding at one point in space and time into a localised soliton splash, which subsequently decomposes again into two-times-two-line solitons . . .
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