A note on loop-soliton solutions of the short-pulse equation

E.J. Parkes

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Abstract

It is shown that the N-loop soliton solution to the short-pulse equation may be decomposed exactly into N separate soliton elements by using a Moloney-Hodnett type decomposition. For the case N = 2, the decomposition is used to calculate the phase shift of each soliton caused by its interaction with the other one. Corrections are made to some previous results in the literature
Original languageEnglish
Pages (from-to)4321-4323
Number of pages3
JournalPhysics Letters A
Volume374
DOIs
Publication statusPublished - 2010

Keywords

  • short-pulse equation
  • sine-Gordon equation
  • n-loop soliton
  • moloney–Hodnett decomposition
  • phase shift.

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