B\"acklund transformation and the construction of the integrable boundary-value problem for the equation $u_{xx}-u_{tt}=e^u-e^{-2u}$
solv-int
2008-02-03 v1 Exactly Solvable and Integrable Systems
Abstract
B\"acklund transformation for the Bullough-Dodd-Jiber-Shabat equation is found. The construction of integrable boundary condition for this equation together with the algebro-geometric solutions satisfying it are suggested.
Keywords
Cite
@article{arxiv.solv-int/9412001,
title = {B\"acklund transformation and the construction of the integrable boundary-value problem for the equation $u_{xx}-u_{tt}=e^u-e^{-2u}$},
author = {R. A. Sharipov and R. I. Yamilov},
journal= {arXiv preprint arXiv:solv-int/9412001},
year = {2008}
}
Comments
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