  Recent observations of droplets in dipolar and binary Bose-Einstein
condensate (BEC) motivates us to study the theory of droplet formation in
detail. Precisely, we are interested in investigating the possibility of
droplet formation in a quasi-one-dimensional geometry. The recent observations
have concluded that the droplets are stabilized by the competition between
effective mean-field and beyond mean-field interaction. Hence, it is possible
to map the effective equation of motion to a cubic-quartic nonlinear
Schr\"odinger equation (CQNLSE). We obtain two analytical solutions of the
modified Gross-Pitaevskii equation or CQNLSE and verified them numerically.
Based on their stability we investigate the parameter regime for which droplets
can form. The effective potential allows us to conclude about the regions of
soliton domination and self-bound droplet formations.
