Bullough-Dodd-Jiber-Shabat 方程 $u_{xx}-u_{tt}=e^u-e^{-2u}$ 的 Bäcklund 变换与可积边值问题构造
solv-int
2008-02-03 v1 可精确求解与可积系统
摘要
找到了 Bullough-Dodd-Jiber-Shabat 方程 的 Bäcklund 变换。提出了该方程的可积边界条件的构造以及满足该条件的代数几何解。
引用
@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}
}
备注
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