Solitons on a finite-gap background in Bullough-Dodd-Jiber-Shabat model

The determinant formula for N-soliton solutions of the Bullough-Dodd-Jiber-Shabat equation on a finite-gap background is obtained. Nonsingularity conditions for them and their asymptotics are investigated.Comment: AmSTeX, 7 pages, amsppt style, 1 figur