We present a variety of dissipative solitons and breathing modes in a medium with localized gain and homogeneous linear dissipation. The system possesses a number of unusual properties, like exponentially localized modes in both focusing and defocusing media, existence of modes in focusing media at negative propagation constant values, simultaneous existence of stable symmetric and antisymmetric localized modes when the gain landscape possesses two local maxima, as well as the existence of stable breathing solutions.
© 2011 Optical Society of America
Original Manuscript: December 24, 2010
Revised Manuscript: January 29, 2011
Manuscript Accepted: February 17, 2011
Published: March 28, 2011
Dmitry A. Zezyulin, Yaroslav V. Kartashov, and Vladimir V. Konotop, "Solitons in a medium with linear dissipation and localized gain," Opt. Lett. 36, 1200-1202 (2011)