Zobrazeno 1 - 10
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pro vyhledávání: '"Murphy, Jason"'
Autor:
Kawakami, Jumpei, Murphy, Jason
We prove several scattering results for dispersion-managed nonlinear Schr\"odinger equations. In particular, we establish small-data scattering for both `intercritical' and `mass-subcritical' powers by suitable modifications of the standard approach
Externí odkaz:
http://arxiv.org/abs/2407.11151
Autor:
Murphy, Jason
We discuss averaging for dispersion-managed nonlinear Schr\"odinger equations in the fast dispersion management regime, with an application to the problem of constructing soliton-like solutions to dispersion-managed nonlinear Schr\"odinger equations.
Externí odkaz:
http://arxiv.org/abs/2403.00945
We prove that the small-data scattering map uniquely determines the nonlinearity for a wide class of gauge-invariant, intercritical nonlinear Schr\"odinger equations. We use the Born approximation to reduce the analysis to a deconvolution problem inv
Externí odkaz:
http://arxiv.org/abs/2402.03218
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
We consider the nonlinear Schr\"odinger equation with focusing quintic and defocusing cubic nonlinearity in three space dimensions: \[ (i\partial_t+\Delta)u = |u|^2 u - |u|^4 u. \] In [18, 23], the authors classified the dynamics of solutions under t
Externí odkaz:
http://arxiv.org/abs/2305.13531
Autor:
Chen, Gong, Murphy, Jason
We prove stability estimates for the problem of recovering the nonlinearity from scattering data. We focus our attention on nonlinear Schr\"odinger equations of the form \[ (i\partial_t+\Delta)u = a(x)|u|^p u \] in three space dimensions, with $p\in[
Externí odkaz:
http://arxiv.org/abs/2305.06170
Autor:
Chen, Gong, Murphy, Jason
We consider a class of one-dimensional nonlinear Schr\"odinger equations of the form \[ (i\partial_t+\Delta)u = [1+a]|u|^2 u. \] For suitable localized functions $a$, such equations admit a small-data modified scattering theory, which incorporates th
Externí odkaz:
http://arxiv.org/abs/2304.01455
Autor:
Blomberg, Karin1 (AUTHOR), Murphy, Jason2,3 (AUTHOR), Hugelius, Karin1 (AUTHOR) karin.hugelius@oru.se
Publikováno v:
BMC Emergency Medicine. 10/17/2024, Vol. 24 Issue 1, p1-8. 8p.
Autor:
Murphy, Jason
We follow up on work of Strauss, Weder, and Watanabe concerning scattering and inverse scattering for nonlinear Schr\"odinger equations with nonlinearities of the form $\alpha(x)|u|^p u$.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/2209.07680