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Growth of Sobolev norms in the cubic defocusing nonlinear Schrodinger equation
Sobolev norms cubic defocusing nonlinear Schrodinger equation
2015/9/25
We consider the cubic defocusing nonlinear Schr¨odinger equation in the two dimensional torus. Fix s > 1. Colliander, Keel, Staffilani, Tao and Takaoka proved in [CKS+10] the existence of solutions wi...
Bright vector solitons in cross-defocusing nonlinear media
vector solitons cross-defocusing nonlinear media
2010/4/2
We study two-dimensional soliton-soliton vector pairs in media with self-focusing nonlinearities and defocing cross-interactions. The general properties of the stationary states and their stability ar...
Direct Approach to Study of Soliton Perturbations of Defocusing
Nonlinear Schrödinger Equation
direct approach soliton perturbation
2007/8/15
2004Vol.42No.6pp.895-898DOI:
Direct Approach to Study of Soliton Perturbations of Defocusing
Nonlinear Schrödinger Equation
YU Hui-You and YAN Jia-Ren
Department o...