KdV soliton interactions: a tropical view

Physics and Mathematics of Nonlinear Phenomena 2013

Dimakis, A.^1 ; Müller-Hoissen, F.^2

Department of Financial and Management Engineering, University of the Aegean, 82100 Chios, Greece^1

Max-Planck-Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany^2

关键词: Dequantization;    Piecewise linear;    Soliton interactions;    Two dimensional spaces;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/482/1/012010/pdf
DOI  :  10.1088/1742-6596/482/1/012010

来源: IOP

【 摘 要 】

Via a "tropical limit" (Maslov dequantization), Korteweg-deVries (KdV) solitons correspond to piecewise linear graphs in two-dimensional space-time. We explore this limit.