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Periodic and rational solutions of modified Korteweg-de Vries equation

Chowdury, Amdad; Ankiewicz, Adrian; Akhmediev, Nail

Description

We present closed form periodic solutions of the integrable modified Korteweg-de Vries equation (mKdV). By using a Darboux transformation, we derive first-and second-order doubly-periodic lattice-like solutions. We explicitly derive first-and second-order rational solutions as limiting cases of periodic solutions. We have also found the degenerate solution which corresponds to the equal eigenvalue case. Among the second-order solutions, we single out the doubly-localized high peak solution on a...[Show more]

CollectionsANU Research Publications
Date published: 2016-05-12
Type: Journal article
URI: http://hdl.handle.net/1885/108713
Source: The European Physical Journal D
DOI: 10.1140/epjd/e2016-70033-9

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