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Teoreticheskaya i Matematicheskaya Fizika, 1982, Volume 53, Number 2, Pages 271–282
(Mi tmf4381)
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This article is cited in 21 scientific papers (total 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
Citation:
E. D. Belokolos, V. Z. Ènol'skii, “Generalized Lamb ansatz”, TMF, 53:2 (1982), 271–282; Theoret. and Math. Phys., 53:2 (1982), 1120–1127
Linking options:
https://www.mathnet.ru/eng/tmf4381 https://www.mathnet.ru/eng/tmf/v53/i2/p271
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