Well-posedness of the mixed-fractional nonlinear Schrödinger equation on R2

Well-posedness of the mixed-fractional nonlinear Schrödinger equation on R2

We investigate the well-posedness theory of the 2-D fractional nonlinear Schrödinger equation (NLSE) with a mixed degree of derivatives. Motivated by models in optics and photonics where the light propagation is governed by non-quadratic, fractional, and anisotropic dispersion profile, this paper pr...

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Bibliographic Details
Main Authors: Brian Choi, Alejandro Aceves
Format: Article
Language:English
Published: Elsevier 2022-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Fractional
Nonlinear Schrödinger
Well-posedness
Scattering
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818122000754

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http://www.sciencedirect.com/science/article/pii/S2666818122000754

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