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

開催日時
2023/04/06 木 16:00 - 17:00
講演者
Stephen Gustafson
講演者所属
University of British Columbia
概要

For the nonlinear Schrödinger equation in one dimension, with a repulsive delta potential that is not too strong, we show the existence of two-soliton solutions with logarithmic (in time) separation. The construction is based on that of Nguyen for the case without potential, modified to account for the additional interaction between the potential and the solitons. This interaction manifests through a perturbed translational eigenfunction, whose detailed properties play a key role. This is joint work in progress with Takahisa Inui.

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