From Newton’s cradle to the discrete p-Schr¨odinger equation

Pour contrˆ oler le terme nonlin´ eaire, on utilise les deux outils. In´ egalit´ es

We have seen what the wave function looks like for a free particle of energy E – one or the other of the harmonic wave functions – and we have seen what it looks like for the

[10] Gaillard P 2014 Two parameters wronskian representation of solutions of nonlinear Schr¨odinger equation, eight Peregrine breather and multi- rogue waves Jour.

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

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

With this method, we construct the analytical expressions of deformations of the Pere- grine breather of order 4 with 6 real parameters and plot different types of rogue waves..

As it will be shown in the following, we construct solutions depending on 8 parameters which give the Peregrine breather as particular case when all the parameters are equal to 0 :

The next section is devoted to the derivation of addi- tional properties of weak solutions to (1.1) in the sense of Definition 1.2, including strong continuity with respect to