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math.AP2020★ 4 cited
WKB analysis of the Logarithmic Nonlinear Schrodinger Equation in an analytic framework
Guillaume Ferriere
We are interested in a WKB analysis of the Logarithmic Non-Linear Schrödinger Equation with "Riemann-like" variables in an analytic framework in semiclassical regime. We show that…
math.AP2020★ 17 cited
Existence of multi-solitons for the focusing Logarithmic Non-Linear Schrodinger Equation
Guillaume Ferriere
We consider the logarithmic Schr{ö}dinger equation (logNLS) in the focusing regime. For this equation, Gaussian initial data remains Gaussian. In particular, the Gausson-a time-ind…