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Moving breathers and breather-to-soliton conversions for the Hirota equation

Chowdury, Atiqur; Ankiewicz, Adrian; Akhmediev, Nail

Description

We find that the Hirota equation admits breather-tosoliton conversion at special values of the solution eigenvalues. This occurs for the first-order, as well as higher orders, of breather solutions. An analytic expression for the condition of the transformation is given and several examples of transformations are presented. The values of these special eigenvalues depend on two free parameters that are present in the Hirota equation. We also find that higher order breathers generally have...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
URI: http://hdl.handle.net/1885/98512
Source: Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences
DOI: 10.1098/rspa.2015.0130

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