Bäcklund transformation and the construction of the integrable boundary-value problem for the equation $u_{xx}-u_{tt}=e^u-e^{-2u}$

Abstract

Bäcklund transformation for the Bullough-Dodd-Jiber-Shabat equation $u_{xx}-u_{tt}=e^u-e^{-2u}$ is found. The construction of integrable boundary condition for this equation together with the algebro-geometric solutions satisfying it are suggested.

7 pages AmS-TeX, Published in book: Problems of Math. Physics and the asymptotics of their solutions, (V.Yu. Novokshenov, ed.) Inst. of Math. UrO AN SSSR, Ufa, 1991, pp. 66-77