On the existence of bound and ground states for some coupled nonlinear Schrödinger–Korteweg–de Vries equations
On the existence of bound and ground states for some coupled nonlinear Schrödinger–Korteweg–de Vries equations
Abstract We show the existence of positive bound and ground states for a system of coupled nonlinear Schrödinger–Korteweg–de Vries equations. More precisely, we prove that there exists a positive radially symmetric ground state if either the coupling coefficient satisfies <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:mrow> <m:mi>β</m:mi> <m:mo>></m:mo> <m:mi>Λ</m:mi> </m:mrow> </m:math> {\beta>\Lambda} (for an …