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

$\lambda\phi^{4}$ Kink and sine-Gordon Soliton in the GUP Framework