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

R. A. Sharipov; R. I. Yamilov

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

R. A. Sharipov·R. I. Yamilov

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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.

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R. A. Sharipov, R. I. Yamilov. 1994-12-05. Bäcklund transformation and the construction of the integrable boundary-value problem for the equation $u_{xx}-u_{tt}=e^u-e^{-2u}$. https://arxiv.org/abs/solv-int/9412001

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