KdV soliton interactions: a tropical view
Aristophanes Dimakis, Folkert Mueller-Hoissen
TL;DR
This paper investigates KdV soliton interactions through a tropical limit, revealing their correspondence to piecewise linear graphs in space-time, providing a novel geometric perspective.
Contribution
It introduces a tropical geometric approach to analyze KdV solitons, offering new insights into their interactions and structure.
Findings
KdV solitons correspond to piecewise linear graphs in the tropical limit
Tropical limit provides a new geometric perspective on soliton interactions
The approach simplifies understanding of complex soliton dynamics
Abstract
Via a "tropical limit" (Maslov dequantization), Korteweg-deVries (KdV) solitons correspond to piecewise linear graphs in two-dimensional space-time. We explore this limit.
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