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Nonlinear Schrödinger equation with combined power-type nonlinearities and harmonic potential

✍ Scribed by Run-zhang Xu; Chuang Xu


Publisher
Springer
Year
2010
Tongue
English
Weight
154 KB
Volume
31
Category
Article
ISSN
0253-4827

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Solutions of semi-classical Schrödinger equation with isotropic harmonic potential focus periodically in time. We study the perturbation of this equation by a nonlinear term. If the scaling of this perturbation is critical, each focus crossing is described by a nonlinear scattering operator, which i