Showing math.APShow all
2 papers · 1 filter
math.AP2014
On the existence of bound and ground states for some coupled nonlinear Schrödinger--Korteweg-de Vries equations
Eduardo Colorado
We demonstrate existence of positive bound and ground states for a system of coupled nonlinear Schrödinger--Korteweg-de Vries equations. More precisely, we prove there is a positiv…
math.AP2014
Positive solutions to some systems of coupled nonlinear Schrödinger equations
Eduardo Colorado
We study the existence of nontrivial bound state solutions to the following system of coupled nonlinear time-independent Schrödinger equations $$ - Δu_j+ λ_j u_j =μ_j u_j^3+ \sum_{…