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Mengxue Bai
Public Documents
1
Construction of Multi Solitons for the L 2 Supercritical Double Power Nonlinear Schr...
Mengxue Bai
and 1 more
September 24, 2024
This paper deals with the double power nonlinear Schrodinger equation in one dimension, which is proposed as a model to describe the Bose-Einstein condensate with mixed state interactions. The equation admits unstable solitons in the L 2 supercritical case. In terms of Cote , Martel and Merle’s argument, multi solitons of the equation are constructed by using unstable solitons in the L 2 supercritical case, which extend Cote , Martel and Merle’s results from the pure power case to the double power nonlinear cases.