On Decompositions of the KdV 2-Soliton

نویسندگان

  • Nicholas Benes
  • Alex Kasman
  • Kevin Young
چکیده

The KdV equation is the canonical example of an integrable nonlinear 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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عنوان ژورنال:
  • J. Nonlinear Science

دوره 16  شماره 

صفحات  -

تاریخ انتشار 2006