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Soliton solutions of an integrable nonlinear Schrödinger equation with quintic terms

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

Description

We present the fifth-order equation of the nonlinear Schrodinger hierarchy. This integrable partial differential ¨ equation contains fifth-order dispersion and nonlinear terms related to it. We present the Lax pair and use Darboux transformations to derive exact expressions for the most representative soliton solutions. This set includes two-soliton collisions and the degenerate case of the two-soliton solution, as well as beating structures composed of two or three solitons. Ultimately,...[Show more]

CollectionsANU Research Publications
Date published: 2014-09-26
Type: Journal article
URI: http://hdl.handle.net/1885/15430
Source: Physical Review E
DOI: 10.1103/PhysRevE.90.032922

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