Using a mathematical approach accessible to graduate students of physics and engineering, we show how solitons are solutions of nonlinear Schrödinger equations. Are also given references about the history of solitons in ...

Considering the static solutions of the D-dimensional nonlinear Schrodinger equation with trap and attractive two-body interactions, the existence of stable solutions is limited to a maximum critical number of particles, ...

In this paper we study the decay rates of the solutions for a Schrödinger equation with double power nonlinearity in Lp(R)-norm for 2<p≤∞. We give some numerical examples to illustrate our analytical results.

We study the existence of solutions for a class of nonlinear Schrödinger equations involving a magnetic field with mixed Dirichlet-Neumann boundary conditions. We use Lusternik-Shnirelman category and the Morse theory to ...

Consideramos a equação de Schrödinger não linear não-homogênea supercrítica i∂tu + u + | x | - b | u | 2σu = 0, onde (2 − b) / N <σ <(2 − b) / (N − 2) e 0 <b <min {2, N}. Provamos uma estimativa do tipo Gagliardo-Nirenberg ...