Rogue waves, rational solutions, the patterns of their zeros and integral relations

Abstract

The focusing nonlinear Schrödinger equation, which describes generic nonlinear phenomena, including waves in the deep ocean and light pulses in optical fibres, supports a whole hierarchy of recently discovered rational solutions. We present recurrence relations for the hierarchy, the pattern of zeros for each solution and a set of integral relations which… (More)

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Cite this paper

@inproceedings{Ankiewicz2010RogueWR, title={Rogue waves, rational solutions, the patterns of their zeros and integral relations}, author={Adrian Ankiewicz and Peter A. Clarkson}, year={2010} }