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

Abstract : 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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Submitted on : Sunday, September 16, 2012 - 11:36:55 AM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
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Pierre Gaillard. Wronskian representation of solutions of NLS equation, and seventh order rogue wave.. 2012. ⟨hal-00638079v2⟩

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