Geodesic
Essentially nonlinear one-dimensional model of classical field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 2, pp. 160-174 
L. A. Takhtadzhyan; L. D. Faddeev. Essentially nonlinear one-dimensional model of classical field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 21 (1974) no. 2, pp. 160-174. http://geodesic.mathdoc.fr/item/TMF_1974_21_2_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that the equation $u_{tt}-u_{xx}+\sin u=0$ with boundary condition $u(x,t)\to 0$ $(\operatorname{mod}2\pi)$ as $|x|\to\infty$, which describes a classical field with essentially nonlinear interaction, is a completely integrable Hamiltonian system. The results are interpreted in terms of particles corresponding to the field $u(x,t)$.

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