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Consider to the Cauchy problem of the defocusing NLS equation with a nonzero background. With the Dbar steepest descent method and double scaling limit, we obtain Painleve asymptotics in two transitio...
Consider to the Cauchy problem of the defocusing NLS equation with a nonzero background. With the Dbar generalization of the nonlinear steepest descent method to compute the leading order approximatio...
In this talk, we will introduce a novel overlapping domain decomposition splitting algorithm based on a Crank--Nisolson method is developed for the stochastic NLS equation driven by a multiplicative n...
We consider the cubic Nonlinear Schr¨odinger Equation (NLS) in one space dimension, either focusing or defocusing. We prove that the solutions satisfy a-priori local in time Hs bounds in terms of the ...
2004Vol.41No.2pp.189-194DOI: New Exact Solutions to NLS Equation and Coupled NLS Equations FU Zun-Tao, LIU Shi-Da, and LIU Shi-Kuo School of Physics, Peking University,...
The method of multiple scales is used to derive a new integrable coupled nonlinear Schr\\"odinger equation (CNLS) as an amplitude equation from the coupled nonlinear Klein-Gordon Equation (CNKG). We a...

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