A family of fixed-point iterations is proposed for the numerical computation of traveling
waves and localized ground states. The methods are extended versions of Petviashvili type …

In this article, it is proved that explicit Lawson methods, when projected onto one of the
invariants of nonlinear Schrödinger equation (norm) are also automatically projected onto …

This paper presents an automatic algorithm for detecting and generating solitary waves of
nonlinear wave equations. With this purpose, dynamic simulations are carried out, the …

We propose an exponential time-differencing method based on the leapfrog scheme for
numerical integration of the generalized nonlinear Schrödinger-type equations. The key …

We introduce a practical algorithm to automate the simulations of solitary wave solutions of
some nonlinear dispersive wave equations. The full discretization consists of a spatial …

El presente trabajo tiene por objeto la integración numérica exponencial de la ecuación de
Schrödinger no lineal tras llevar a cabo una discretización pseudoespectral de la parte …

The purpose of this work is to determine suitable numerical methods to simulate the
evolution of coherent structures for the cubic nonlinear Schrödinger equation with Dirichlet …