Recovery of a cubic nonlinearity for the nonlinear Schrödinger equation Article Swipe
Related Concepts
Nonlinear system
Nonlinear Schrödinger equation
Split-step method
Amplitude
Mathematical analysis
Wave packet
Mathematics
Phase (matter)
Schrödinger equation
Physics
Mathematical physics
Quantum mechanics
Christopher C. Hogan
,
Jason Murphy
,
David Grow
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2208.06047
· OA: W4291961335
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2208.06047
· OA: W4291961335
We consider the problem of recovering a spatially-localized cubic nonlinearity in a nonlinear Schrödinger equation in dimensions two and three. We prove that solutions with data given by small-amplitude wave packets accrue a nonlinear phase that determines the X-ray transform of the nonlinear coefficient.
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