2006/02/16 by Nicholas Benes, Alex Kasman, Kevin Young
Physics and Astronomy · #nlin.PS #nlin.SI
paper · pdf · doi:10.1007/s00332-005-0709-2
arxiv created 2006/02/16 · arxiv updated 2009/12/01
The KdV equation is the canonical example of an integrable non-linear partial differential equation supporting multi-soliton solutions. Seeking to understand the nature of this interaction, we investigate different ways to write the KdV 2-soliton solution as a sum of two or more functions. The paper reviews previous work of this nature and introduces new decompositions with unique features, putting it all in context and in a common notation for ease of comparison.