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Pré-Publication, Document De Travail Année : 2012

Wronskian representation of solutions of NLS equation, and seventh order rogue wave.

Résumé

This work is a continuation of a recent paper in which we have constructed a multi-parametric family of the nonlinear Schrodinger equation in terms of wronskians. When we perform a special passage to the limit, we get a family of quasi-rational solutions expressed as a ratio of two determinants. We have already construct Peregrine breathers of orders N=4, 5, 6 in preceding works; we give here the Peregrine breather of order seven.
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Dates et versions

hal-00638079 , version 1 (03-11-2011)
hal-00638079 , version 2 (16-09-2012)

Identifiants

  • HAL Id : hal-00638079 , version 2

Citer

Pierre Gaillard. Wronskian representation of solutions of NLS equation, and seventh order rogue wave.. 2012. ⟨hal-00638079v2⟩
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