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02/02/2022
Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity
We consider two types of the generalized Korteweg - de Vries equation, w...
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03/29/2021
Higher dimensional generalization of the Benjamin-Ono equation: 2D case
We consider a higher-dimensional version of the Benjamin-Ono (HBO) equat...
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02/03/2021
Interaction with an obstacle in the 2d focusing nonlinear Schrödinger equation
We present a numerical study of solutions to the 2d focusing nonlinear S...
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12/06/2020
Dynamics of solutions in the generalized Benjamin-Ono equation: a numerical study
We consider the generalized Benjamin-Ono (gBO) equation on the real line...
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06/18/2020
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise
We study the focusing stochastic nonlinear Schrödinger equation in one s...
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05/28/2020
Behavior of solutions to the 1D focusing stochastic L^2-critical and supercritical nonlinear Schrödinger equation with space-time white noise
We study the focusing stochastic nonlinear Schrödinger equation in 1D in...
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02/14/2020