Multi-solitons for the nonlinear Schrödinger equation with repulsive Dirac delta potential

Stephen Gustafson, Takahisa Inui, Ikkei Shimizu

We prove the existence of multi-soliton solutions for the nonlinear Schrödinger equation with repulsive Dirac delta potential and $L^2$-supercritical focusing nonlinear term. Our m…