### 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 language | English |
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Pages (from-to) | 4321-4323 |

Number of pages | 3 |

Journal | Physics Letters A |

Volume | 374 |

DOIs | |

Publication status | Published - 2010 |

### Keywords

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

## Cite this

Parkes, E. J. (2010). A note on loop-soliton solutions of the short-pulse equation.

*Physics Letters A*,*374*, 4321-4323. https://doi.org/10.1016/j.physleta.2010.08.061