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Breather solutions of the integrable quintic nonlinear Schrödinger equation and their interactions

Chowdury, A.; Kedziora, D. J.; Ankiewicz, A.; Akhmediev, N.


We present breather solutions of the quintic integrable equation of the Schrödinger hierarchy. This equation has terms describing fifth-order dispersion and matching nonlinear terms. Using a Darboux transformation, we derive first-order and second-order breather solutions. These include first- and second-order rogue-wave solutions. To some extent, these solutions are analogous with the corresponding nonlinear Schrödinger equation (NLSE) solutions. However, the presence of a free parameter in...[Show more]

CollectionsANU Research Publications
Date published: 2015-02-24
Type: Journal article
Source: Physical Review E
DOI: 10.1103/PhysRevE.91.022919


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