Bright solitons in fractional Schrödinger equation with defective Kerr nonlinear lattice

In this work, we demonstrate bright soliton families in defective Kerr nonlinear lattice under fractional diffraction, including fundamental, dipole, and tripole solitons. We investigate two types of dipole and tripole solitons, with different distances between adjacent peaks. Additionally, we examine two types of defects, strong and weak. The amplitudes of solitons decrease with increasing L & eacute;vy index and increase with the propagation constant. The peaks at strong (weak) defects are shorter (taller) than those at other positions in the nonlinear lattice for both dipole and tripole solitons, and this conclusion holds regardless of the distance between adjacent peaks. The power of soliton families increases with both L & eacute;vy index and propagation constant. The stability domains of solitons are assessed by linear stability analysis, confirmed by Vakhitov-Kolokolov stability criterion, and verified by direct numerical simulations. Interestingly, soliton power decreases with the strength of strong defects and increases with the strength of weak defects.