This article is cited in 21 papers

Generalized Lamb ansatz

E. D. Belokolos, V. Z. Ènol'skii


Abstract: For the equation $\varphi_{xx}-\varphi_{tt}=\sin\varphi$, a class of 2-phase solutions is constructed. They can be expressed in terms of Jacobi theta functions and contain the Lamb ansatz as a special case. An analogous class of solutions can also be obtained for other integrable nonlinear equations that admit solutions in terms of Riemaan theta functions.

Received: 21.10.1981

 English version: Theoretical and Mathematical Physics, 1982, 53:2, 1120–1127

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