KdV soliton interactions: a tropical view

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.

10 pages, 4 figures, conference "Physics and Mathematics of Nonlinear Phenomena 2013"

References in corpus (2)

• On Decompositions of the KdV 2-Soliton
• KP line solitons and Tamari lattices

Cited by in corpus (7)

• Matrix KP: tropical limit and Yang-Baxter maps
• Geometry of the basic statistical physics mapping
• Signatures of partition functions and their complexity reduction through the KP II equation
• Tropical limit of matrix solitons and entwining Yang-Baxter maps
• Integrability properties and multi-kink solutions of a generalised Fokker-Planck equation
• Soliton-Generating $\tau$-Functions Revisited
• Statistical Equilibrium of the Korteweg-de Vries and Benjamin-Ono Unidirectional Soliton Models