Periodic and rational solutions of modified Korteweg-de Vries equation
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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]
Collections | ANU Research Publications |
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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 |
Access Rights: | Open Access |
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01_Chowdury_Perioodic_and_Rational_Solutions_2016.pdf | 2.5 MB | Adobe PDF |
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