On Decompositions of the KdV 2-Soliton

Details On Decompositions of the KdV 2-Soliton On Decompositions of the KdV 2-Soliton

2006-02-16

arxiv.org/abs/nlin/0602036v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1007/s00332-005-0709-2

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.

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