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The determinant formula for N-soliton solutions of theBullough-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

SOLITONS ON A FINITE-GAP BACKGROUND IN BULLOUGH-DODD-JIBER-SHABAT MODEL