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Title

Discrete rogue waves of the Ablowitz-Ladik and Hirota equations

AuthorsAnkiewicz, A.; Akhmediev, N. ; Soto Crespo, J. M.
Issue Date2010
PublisherAmerican Physical Society
CitationPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics 82: 026602 (2010)
AbstractWe show that the Ablowitz-Ladik equation, which is an integrable form of the discretized nonlinear Schrödinger equation, has rogue wave solutions in the form of the rational solutions. We show that there is a hierarchy of rational solutions and we derive the two lowest-order ones using the Hirota technique. More generally, we present rational solutions for the discrete Hirota equation which includes, as particular cases, both the discrete Ablowitz-Ladik equation and the discrete modified Korteweg-de Vries (mKdV) equation. © 2010 The American Physical Society.
URIhttp://hdl.handle.net/10261/59701
DOI10.1103/PhysRevE.82.026602
Identifiersdoi: 10.1103/PhysRevE.82.026602
issn: 1539-3755
Appears in Collections:(CFMAC-IO) Artículos
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