We study rational solutions of the Boussinesq equation, which is a soliton equation solvable
by the inverse scattering method. These rational solutions, which are algebraically decaying …

We present a simple representation for arbitrary-order rogue wave solution and a study on
the trajectories of them explicitly. We find that the trajectories of two valleys on whole …

In this paper, we construct new deformations of the Akhmediev-Peregrine (AP) breather of
order N (or AP N breather) with $2 N-2$ real parameters. Other families of quasirational …

Aims/The structure of the solutions to the one dimensional focusing nonlinear Schr¨ odinger
equation (NLS) for the order N in terms of quasi rational functions is given here. We first give …

Based on a representation in terms of determinants of the order 2 N, we attempt to classify
quasirational solutions of the one-dimensional focusing nonlinear Schrödinger equation and …

We construct new deformations of the Peregrine breather (P 9) of order 9 with 16 real
parameters. With this method, we obtain explicitly new families of quasi-rational solutions to …

In this paper, we construct new deformations of the Peregrine breather of order 6 with ten
real parameters. We obtain new families of quasi-rational solutions of the one-dimensional …

We have already constructed solutions to the Kadomtsev-Petviashvili equation (KPI) in terms
of Fredholm determinants and wronskians of order 2N. These solutions have been called …

In this paper, we go on with the study of rational solutions to the Kadomtsev-Petviashvili
equation (KPI). We construct here rational solutions of order 5 as a quotient of 2 polynomials …

Here we constuct rational solutions of order 6 to the Kadomtsev-Petviashvili equation (KPI)
as a quotient of 2 polynomials of degree 84 in x, y and t depending on 10 parameters. We …