Quasi-rational solutions of the NLS equation and rogue waves

Rational solutions to the NLS equation were written in 2010 as a quotient of two wronskians [9]; the present author constructed in [10] an- other representation of the solutions to

The present paper presents Peregrine breathers as particular case of multi-parametric families of quasi rational solutions to NLS of order N depending on 2N − 2 real parameters

In this paper, we use the representation of the solutions of the focusing nonlinear Schr¨ odinger equation we have constructed recently, in terms of wronskians; when we perform

Gaillard, Two parameters wronskian representation of solutions of nonlinear Schr¨odinger equation, eight Peregrine breather and multi-rogue waves, J.. Gaillard, Hierarchy of

Gaillard, Families of quasi-rational solutions of the NLS equation as an extension of higher order Peregrine breathers, halsh-00573955, 2011 [11] P. Gaillard, Higher order

Gaillard, Higher order Peregrine breathers and multi-rogue waves solutions of the NLS equation, halshs-00589556, 2011..

In this approach, we get an alternative way to get quasi-rational solutions of the focusing NLS equation depending on a certain number of parameters, in particular, higher

We obtained new patterns in the (x; t) plane, by different choices of these parameters; we recognized rings configurations as already observed in the case of deformations depending