An effective particle picture developed earlier for gap soliton propagation
in piecewise uniform gratings is extended to treat gratings that vary grad
ually. In particular, we consider gratings in which the strength or the Bra
gg frequency varies linearly with position. We use this to analyze propagat
ion in more complicated structures corresponding to localized grating defec
ts, and gradual interfaces between two different gratings. [S1063-651X(98)0
7312-7].