Stability of standing waves for nonlinear Schrödinger equation with attractive delta potential and repulsive nonlinearity. (English) Zbl 1191.35254
Summary: We study the orbital stability of standing wave solutions for a nonlinear Schrödinger equation with an attractive delta potential and a repulsive power nonlinearity in a one space dimension.
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 35B35 | Stability in context of PDEs |
| 37K40 | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems |
