3 papers
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.CA2014
Existence of Bound and Ground States for a System of Coupled Nonlinear Schrödinger-KdV Equations
Eduardo Colorado
We prove the existence of bound and ground states for a system of coupled nonlinear Schrödinger-Korteweg-de Vries equations, depending on the size of the coupling coefficient.
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_{…