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On Decompositions of the KdV 2-Soliton

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Abstract

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.

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  1. K. Young

    Present address: Department of Physics, University of California at Berkeley, Berkeley, CA 94704-1200, USA

Authors and Affiliations

  1. Department of Mathematics, College of Charleston, Charleston, SC 29424-0001, USA

    N. Benes, A. Kasman & K. Young

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  1. N. Benes
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  2. A. Kasman
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  3. K. Young
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Benes, N., Kasman, A. & Young, K. On Decompositions of the KdV 2-Soliton. J Nonlinear Sci 16, 179–200 (2006). https://doi.org/10.1007/s00332-005-0709-2

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  • DOI: https://doi.org/10.1007/s00332-005-0709-2

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