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Second-order nonlinear Schrödinger equation breather solutions in the degenerate and rogue wave limits

Kedziora, David J.; Ankiewicz, Adrian; Akhmediev, Nail


We present an explicit analytic form for the two-breather solution of the nonlinear Schrödinger equation with imaginary eigenvalues. It describes various nonlinear combinations of Akhmediev breathers and Kuznetsov-Ma solitons. The degenerate case, when the two eigenvalues coincide, is quite involved. The standard inverse scattering technique does not generally provide an answer to this scenario. We show here that the solution can still be found as a special limit of the general second-order...[Show more]

CollectionsANU Research Publications
Date published: 2012-06-04
Type: Journal article
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics 85.6 (2012): 066601
DOI: 10.1103/PhysRevE.85.066601


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