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

E.J. Parkes

doi:10.1016/j.physleta.2010.08.061

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

E.J. Parkes

Mathematics And Statistics

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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 language	English
Pages (from-to)	4321-4323
Number of pages	3
Journal	Physics Letters A
Volume	374
DOIs	https://doi.org/10.1016/j.physleta.2010.08.061
Publication status	Published - 2010

Keywords

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

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10.1016/j.physleta.2010.08.061

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title = "A note on loop-soliton solutions of the short-pulse equation",

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",

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

author = "E.J. Parkes",

year = "2010",

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journal = "Physics Letters A",

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AU - Parkes, E.J.

PY - 2010

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N2 - 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

AB - 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

KW - short-pulse equation

KW - sine-Gordon equation

KW - n-loop soliton

KW - moloney–Hodnett decomposition

KW - phase shift.

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U2 - 10.1016/j.physleta.2010.08.061

DO - 10.1016/j.physleta.2010.08.061

M3 - Article

SN - 0375-9601

VL - 374

SP - 4321

EP - 4323

JO - Physics Letters A

JF - Physics Letters A

ER -

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

Abstract

Keywords

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