most citedScattering and Blow-up for threshold even solutions to the nonlinear Schrödinger equation with repulsive delta potential at low frequencies

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math.AP2023

Two-solitons with logarithmic separation for 1D NLS with repulsive delta potential

Stephen Gustafson, Takahisa Inui

We consider the one-dimensional nonlinear Schrödinger equation with focusing, power nonlinearity, and a repulsive delta potential. We show that if the potential is not too strong,…

math.AP2023

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 -supercritical focusing nonlinear term. Our m…

math.AP2023★ 1 cited

Scattering and Blow-up for threshold even solutions to the nonlinear Schrödinger equation with repulsive delta potential at low frequencies

Stephen Gustafson, Takahisa Inui

We consider the -supercritical nonlinear Schrödinger equation with a repulsive Dirac delta potential in one dimensional space. In a previous work, we clarified the global dyna…