Nonuniqueness and nonlinear instability of Gaussons under repulsive harmonic potential
نویسندگان
چکیده
We consider the Schrödinger equation with a nondispersive logarithmic nonlinearity and repulsive harmonic potential. For suitable range of coefficients, there exist two positive stationary solutions, each one generating continuous family solitary waves. These solutions are Gaussian, turn out to be orbitally unstable. also discuss notion ground state in this setting: for any natural definition, set states is empty.
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2022
ISSN: ['1532-4133', '0360-5302']
DOI: https://doi.org/10.1080/03605302.2022.2050257