This paper gives a brief review of some results presented at the B B Kadomtsev Memorial International Conference on Phase Transitions and Nonlinear Phenomena in Condensed Media, held in Makhachkala, September 6-9, 2000 under the auspices of the Physics Institute of the RAS Daghestan Science Center. As part of the conference, the 4th International Workshop on the Physics of Magnetic Phase Transitions commemorating the 90th anniversary of Academician S V Vonsovskii was held.