Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Hogan, Christopher C."'
Autor:
Hogan, Christopher C., Murphy, Jason
We consider the dynamics of a boosted soliton evolving under the cubic NLS with an external potential. We show that for sufficiently large velocities, the soliton is effectively transmitted through the potential. This result extends work of Holmer, M
Externí odkaz:
http://arxiv.org/abs/2310.06769
Publikováno v:
J. Math. Anal. Appl. 522 (2023), no. 1, Article 127016
We consider the problem of recovering a spatially-localized cubic nonlinearity in a nonlinear Schr\"odinger equation in dimensions two and three. We prove that solutions with data given by small-amplitude wave packets accrue a nonlinear phase that de
Externí odkaz:
http://arxiv.org/abs/2208.06047
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 June 2023 522(1)
Autor:
Hogan, Christopher C., Murphy, Jason
Publikováno v:
Discrete & Continuous Dynamical Systems: Series A; May2024, Vol. 44 Issue 5, p1-12, 12p