Ground states for a system of nonlinear Schrodinger equations with three waves interaction

Details Ground states for a system of nonlinear Schrodinger equations with three waves interaction Ground states for a system of nonlinear Schrodinger equations with three waves interaction

2009-10-19

arxiv.org/abs/0910.3555v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

We consider a system of nonlinear Schrodinger equations with three waves
interaction studying the existence of ground state solutions. In particular, we
find a vector ground state, namely a ground state with the three components all
different from zero.

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