Wronskian representation of solutions of NLS equation, and seventh order Peregrine breather.

Pierre Gaillard (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

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.

Domaines: Physique mathématique [math-ph]

Pierre Gaillard. Wronskian representation of solutions of NLS equation, and seventh order Peregrine breather.. 2011. ⟨hal-00638079v1⟩