Abstract
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.