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Long-time reduction for the biharmonic nonlinear Schrödinger equation

Hong, Younghun et al.
arXiv (All) · Papers
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35q55analysis-of-pdes
In this article, we study the reduction of the one-dimensional biharmonic nonlinear Schrödinger equation to the cubic nonlinear Schrödinger equation in the vanishing higher-order dispersion limit. In the intermediate regularity regime $0<s<2$, where the energy conservation law does not control the $
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