  We consider $\lambda\phi^{4}$ kink and sine-Gordon soliton in the presence of
a minimal length uncertainty proportional to the Planck length. The modified
Hamiltonian contains an extra term proportional to $p^4$ and the generalized
Schr\"odinger equation is expressed as a forth-order differential equation in
quasiposition space. We obtain the modified energy spectrum for the discrete
states and compare our results with 1-loop resummed and Hartree approximations
for the quantum fluctuations. We finally find some lower bounds for the
deformations parameter so that the effects of the minimal length have the
dominant role.
