A note on loop-soliton solutions of the short-pulse equation |
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| Authors: | E.J. Parkes |
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| Affiliation: | Department of Mathematics and Statistics, University of Strathclyde, Livingstone Tower, Richmond Street, Glasgow G1 1XH, UK |
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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. |
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| Keywords: | Short-pulse equation Sine-Gordon equation N-loop soliton Moloney-Hodnett decomposition Phase shift |
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