On Decompositions of the KdV 2-Soliton

On Decompositions of the KdV 2-Soliton

The KdV equation is the canonical example of an integrable nonlinear partial differential equation supporting multisoliton 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 r...

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Bibliographic Details
Published in:Journal of nonlinear science Vol. 16; no. 2; pp. 179 - 200
Main Authors: Benes, N., Kasman, A., Young, K.
Format: Journal Article
Language:English
Published: New York Springer Nature B.V 01-04-2006
Subjects:
Decomposition
Nonlinear differential equations
Partial differential equations
Solitary waves
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Summary:The KdV equation is the canonical example of an integrable nonlinear partial differential equation supporting multisoliton 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.
ISSN:0938-8974
1432-1467
DOI:10.1007/s00332-005-0709-2