Geodesic
Generalized Lamb ansatz
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 271-282

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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. 
@article{TMF_1982_53_2_a8,
     author = {E. D. Belokolos and V. Z. \`Enol'skii},
     title = {Generalized {Lamb} ansatz},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {271--282},
     publisher = {mathdoc},
     volume = {53},
     number = {2},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a8/}
}
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E. D. Belokolos; V. Z. Ènol'skii. Generalized Lamb ansatz. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 271-282. http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a8/