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

Bashkir State University; Chernishevsky 112; R.A. Sharipov (Dep. of Math.; R.I. Yamilov (Inst. of Math. UrO RAN; Russia); Ufa

arxiv: solv-int/9412001 · v1 · submitted 1994-12-05 · solv-int · nlin.SI

B\"acklund transformation and the construction of the integrable boundary-value problem for the equation u_(xx)-u_(tt)=e^u-e^(-2u)

R.A. Sharipov (Dep. of Math. , Bashkir State University , Ufa , Russia) , R.I. Yamilov (Inst. of Math. UrO RAN , Chernishevsky 112 This is my paper

classification solv-int nlin.SI

keywords equationacklundconstructionintegrabletransformationalgebro-geometricboundaryboundary-value

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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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B\"acklund transformation and the construction of the integrable boundary-value problem for the equation u_(xx)-u_(tt)=e^u-e^(-2u)

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