Multi-bump solitons to linearly coupled systems of nonlinear Schrodinger equations

This paper is devoted to study a class of systems of nonlinear Schrodinger equations: [GRAPHICS] in R-n with dimension n = 1, 2, 3. Our main result states that if P denotes a regular polytope centered at the origin of Rn such that its side is greater than the radius, then there exists a solution with one multi-bump component having bumps located near the vertices xi P, where xi similar to log(1/epsilon), while the other component has one negative peak.