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

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

1994-12-05

arxiv.org/abs/solv-int/9412001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages AmS-TeX, Published in book: Problems of Math. Physics and the asymptotics of their solutions, (V.Yu. Novokshenov, ed.)

Scientific paper

B\"acklund 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.

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